List of publications

Scientific papers

1. Sharipov R. A., Finite-gap analogs of N-multiplet solutions of KdV equation, Uspehi Mat. Nauk, 41(1986), No. 5, 203-204.
2. Sharipov R. A., Soliton multiplets of Korteweg-de Vries equation, Dokladi AN SSSR, 292(1987), No. 6, 1356-1359.
3. Sharipov R. A., Multiplet solutions of Kadomtsev-Petviashvili equation on a finite-gap background, Uspehi Mat. Nauk, 42(1987), No. 5, 221-222.

4. Bikbaev R. F. & Sharipov R. A., Magnetization waves in Landau-Lifshits model, Physics Letters A, 134(1988), No. 2, 105-108.
5. Bikbaev R. F. & Sharipov R. A., Assymptotics as t → ∞ for the solution of Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behaviour as x → ± ∞, TMF, 78(1989), No. 3, 345-356.

6. Sharipov R. A., On the integration of Bogoyavlensky chains, Mat. zametki, 47(1990), No. 1, 157-160.

7. Cherdantsev I. Yu. & Sharipov R. A., Finite-gap solutions of Bullough-Dodd-Jiber-Shabat equation, TMF, 82(1990), No. 1, 155-160.
8. Cherdantsev I. Yu. & Sharipov R. A., Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model, International. Journ. of Modern Physics A, 5(1990), No. 5, 3021-3027.

9. Sharipov R. A. & Yamilov R. I., Backlund transformations and the construction of the integrable boundary value problem for the equation uxt=eu-e-2u, in book "Some problems of mathematical physics and asymptotics of its solutions", Institute of mathematics BNC UrO AN SSSR, 1991, 66-77.
10. Sharipov R. A., Minimal tori in five-dimensional sphere in $C^3$, TMF, 87(1991), No. 1, 48-56.
11. Safin S. S. & Sharipov R. A., Backlund autotransformation for the equation uxt=eu-e-2u, TMF, 95(1993), No. 1, 146-159.
12. Boldin A. Yu. & Safin S. S. & Sharipov R. A., On an old paper of Tzitzeika and the inverse scattering method, Journal of Mathematical Physics, 34(1993), No. 12, 5801-5809.

13. Boldin A. Yu. & Sharipov R. A., Dynamical systems, accepting the normal shift, TMF, 97(1993), No. 3, 386-395, see also Preprint #0001-M of Bashkir State University.
14. Boldin A. Yu. & Sharipov R. A., Dynamical systems, accepting the normal shift, Dokladi RAN, 334(1994), No. 2, 165-167.
15. Boldin A. Yu. & Sharipov R. A., Multidimensional dynamical systems, accepting the normal shift, TMF, 100(1994), No. 2, 264-269.
16. Sharipov R. A., Problem of metrizability for the dynamical systems, accepting the normal shift, TMF, 101(1994), No. 1, 85-93.
17. Sharipov R. A., Dynamical systems, accepting the normal shift, Uspehi Mat. Nauk, 49(1994), No. 4, 105.
18. Boldin A. Yu. & Dmitrieva V. V. & Safin S. S. & Sharipov R. A., Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold, in book: "Dynamical systems accepting the normal shift", Bashkir State University, 1994, 4-19; see also TMF, 103(1995), No. 2, 256-266.
19. Boldin A. Yu. & Bronnikov A. A. & Dmitrieva V. V. & Sharipov R. A., Complete normality conditions for the dynamical systems on Riemannian manifolds, in book: "Dynamical systems accepting the normal shift", Bashkir State University, 1994, 20-30; see also TMF, 103(1995), No. 2, 267-275.
20. Sharipov R. A., Higher dynamical systems accepting the normal shift, in book: "Dynamical systems accepting the normal shift", Bashkir State University, 1994, 41-65.

21. Pavlov M. V. & Svinolupov S. I. & Sharipov R. A. Invariant criterion of integrability for the system of equations of hydrodynamical type, in book: "Integrability in dynamical systems", Inst. of Math. UrO RAN, Ufa, 1994, 27-48; see also Funk. Anal. i Pril., 30(1996), No. 1, 18-29.

22. Bronnikov A. A. & Sharipov R. A., Axially symmetric dynamical systems accepting the normal shift in $R^n$, in book: "Integrability in dynamical systems", Inst. of Math. UrO RAN, Ufa, 1994, 62-69.
23. Sharipov R. A., Metrizability by means of conformally equivalent metric for the dynamical systems, in book: "Integrability in dynamical systems", Inst. of Math. UrO RAN, Ufa, 1994, 80-90; see also TMF, 103(1995), No. 2, 276-282.

24. Sharipov R. A. & Sukhov A. B., On CR-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions, Trans. of American Math. Society, 348(1996), No. 2, 767-780; see also Dokladi RAN, 350(1996), No. 4, 453-454.
25. Sharipov R. A. & Tsyganov E. N., On the separate algebraicity along the families of algebraic curves, Preprint of Baskir State University, Ufa, 1996, 1-7; see also Mat. Zametki, 68(2000), No. 2, 294-302.

26. Ferapontov E. V. & Sharipov R. A., On conservation laws of first order for the system of equations of hydrodynamical type, TMF, 108(1996), No. 1, 109-128.

27. Boldin A. Yu. & Sharipov R. A., On the solution of normality equations for the dimension n ≥ 3. Electronic archive http://arXiv.org, 1996, solv-int/9610006, 1-17; see also Algebra i Analiz, 10(1998), No. 4, 31-61.

28. Dmitrieva V. V. & Sharipov R. A., On the point transformations for the second order differential equations, Electronic archive http://arXiv.org, 1997, solv-int/9703003, 1-14.
29. Sharipov R. A., On the point transformations for the equation $y''=P+ 3Qy'+3Ry'^2+Sy'^3$, Electronic archive http://arXiv.org, 1997, solv-int/9706003, 1-35; see also Vestnik BashGU, 1998, No. 1(I), 5-8.
30. Mikhailov O. N. & Sharipov R. A., On the point expansion for certain class of differential equations of second order, Electronic archive http://arXiv.org, 1997, solv-int/9712001, 1-8; Diff. Uravneniya, 36(2000), No. 10, 1331-1335.
31. Sharipov R. A., Effective procedure of point-classification for the equation $y'' = P + 3Qy' + 3Ry'^2 + Sy'^3$, Electronic archive http://arXiv.org, 1998, math.DG/9802027, 1-35.

32. Dmitrieva V. V. & Gladkov A. V. & Sharipov R. A., On some equations that can be brought to the equations of diffusion type. Electronic archive http://arXiv.org, 1999, math.DG/9904080, 1-13; see also TMF, 123(2000), No. 1, 26-37.
33. Dmitrieva V. V. & Neufeld E. G. & Sharipov R. A. & Tsaregorodtsev A. A., On a point symmetry analysis for generalized diffusion type equations. Electronic archive at LANL, 1999, math.AP/9907130, 1-52.

34. Sharipov R. A., Dynamical systems admitting the normal shift, Thesis for the degree of Doctor of Sciences in Russia, Electronic archive http://arXiv.org, 2000, math.DG/0002202, 1-219.

35. Sharipov R. A., Newtonian normal shift in multidimensional Riemannian geometry, Electronic archive http://arXiv.org, 2000, math.DG/0006125,1-38; see also Mat. Sbornik, 192(2001), No. 6, 105-144.
36. Sharipov R. A., Newtonian dynamical systems admitting normal blow-up of points, Electronic archive http://arXiv.org, 2000, math.DG/0008081, 1-16; see also Zap. semin. POMI, 280(2001), 278-298.

37. Sharipov R. A., Orthogonal matrices with rational components in composing tests for High School students, Electronic archive http://arXiv.org, 2000, math.GM/0006230, 1-10.
38. Sharipov R. A., On rational extension of Heisenberg algebra, Electronic archive http://arXiv.org, 2000, math.RA/0009194, 1-12.

39. Sharipov R. A., On the solutions of weak normality equations in multidimensional case, Electronic archive http://arXiv.org, 2000, math.DG/0012110, 1-16.
40. Sharipov R. A., First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces, Electronic archive at LANL, 2001, math.DG/0101150, 1-14; see also Global geometric structures associated with dynamical systems admitting normal shift of hypersurfaces in Riemannian manifolds, International Journal of Mathematics and Mathematical Sciences, 30(2002) No. 9, 541-557.
41. Sharipov R. A., Second problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces, Electronic archive http://arXiv.org, 2001, math.DG/0102141, 1-21.
42. Sharipov R. A., A note on Newtonian, Lagrangian, and Hamiltonian dynamical systems in Riemannian manifolds, Electronic archive http://arXiv.org, 2001, math.DG/0107212, 1-21.
43. Sharipov R. A., Dynamical systems admitting normal shift and wave equations, Electronic archive http://arXiv.org, 2001, math.DG/0108158, 1-16; see also TMF, 131(2002), No. 2, 244-260.
44. Sharipov R. A., Normal shift in general Lagrangian dynamics, Electronic archive http://arXiv.org, 2001, math.DG/0112089, 1-27.

45. Sharipov R. A., Algorithm for generating orthogonal matrices with rational elements, Electronic archive http://arXiv.org, 2002, cs.MS/0201007, 1-7.

46. Sharipov R. A., Comparative analysis for pair of dynamical systems, one of which is Lagrangian, Electronic archive http://arXiv.org, 2002, math.DG/0204161, 1-40.
47. Sharipov R. A., On the concept of normal shift in non-metric geometry, Electronic archive http://arXiv.org, 2002, math.DG/0208029, 1-47.
48. Sharipov R. A., V-representation for normality equations in geometry of generalized Legendre transformation, Electronic archive http://arXiv.org, 2002, math.DG/0210216, 1-32.
49. Sharipov R. A., On the subset of normality equations describing generalized Legendre transformation, Electronic archive http://arXiv.org, 2002, math.DG/0212059,1-19.

50. Lyuksyutov S. F. & Sharipov R. A., Note on kinematics, dynamics, and thermodynamics of plastic glassy media, Electronic archive http://arXiv.org, 2003, cond-mat/0304190, 1-19.
51. Lyuksyutov S. F. & Sharipov R. A. & Sigalov G. & Paramonov P. B., Exact analytical solution for electrostatic field produced by biased atomic force microscope tip dwelling above dielectric-conductor bilayer, Electronic archive http://arXiv.org, 2004, cond-mat/0408247, 1-6.
52. Lyuksyutov S. F. & Sharipov R. A., Separation of plastic deformations in polymers based on elements of general nonlinear theory, Electronic archive http://arXiv.org, 2004, cond-mat/0408433, 1-4.
53. Comer J. & Sharipov R. A., A note on the kinematics of dislocations in crystals, Electronic archive http://arXiv.org, 2004, math-ph/0410006, 1-15.
54. Sharipov R. A., Gauge or not gauge? Electronic archive http://arXiv.org, 2004, cond-mat/0410552, 1-12.
55. Sharipov R. A., Burgers space versus real space in the nonlinear theory of dislocations, Electronic archive http://arXiv.org, 2004, cond-mat/0411148, 1-10.
56. Comer J. & Sharipov R. A., On the geometry of a dislocated medium, Electronic archive http://arXiv.org, 2005, math-ph/0502007, 1-17.

57. Sharipov R. A., Tensor functions of tensors and the concept of extended tensor fields, Electronic archive http://arXiv.org, 2005, math.DG/0503332, 1-43.

58. Sharipov R. A., A note on the dynamics and thermodynamics of dislocated crystals, Electronic archive http://arXiv.org, 2005, cond-mat/0504180, 1-18.

59. Sharipov R. A., Spinor functions of spinors and the concept of extended spinor fields, Electronic archive http://arXiv.org, 2005, math.DG/0511350, 1-56.
60. Sharipov R. A., Commutation relationships and curvature spin-tensors for extended spinor connections, Electronic archive http://arXiv.org, 2005, math.DG/0512396, 1-22.
61. Sharipov R. A., A note on Dirac spinors in a non-flat space-time of general relativity, Electronic archive http://arXiv.org, 2006, math.DG/0601262, 1-22.
62. Sharipov R. A., A note on metric connections for chiral and Dirac spinors, Electronic archive http://arXiv.org, 2006, math.DG/0602359, 1-40.
63. Sharipov R. A., On the Dirac equation in a gravitation field and the secondary quantization, Electronic archive http://arXiv.org, 2006, math.DG/0603367, 1-10.
64. Sharipov R. A., The electro-weak and color bundles for the Standard Model in a gravitation field, Electronic archive http://arXiv.org, 2006, math.DG/0603611, 1-8.
65.Sharipov R. A., A note on connections of the Standard Model in a gravitation field, Electronic archive http://arXiv.org, 2006, math.DG/0604145, 1-11.
66.Sharipov R. A., A note on the Standard Model in a gravitation field, Electronic archive http://arXiv.org, 2006, math.DG/0605709, 1-36.

67. Lyuksyutov S. F. & Paramonov P. B. & Sharipov R. A. & Sigalov G., Induced nanoscale deformations in polymers using atomic force microscopy, Phys. Rev. B 70, 174110 (2004); see also cond-mat/0408247 (paper 51 above in this list)

68. Sharipov R. A., The Higgs field can be expressed through the lepton and quark fields, Electronic archive http://arXiv.org, 2007, hep-ph/0703001, 1-4.

69. Sharipov R. A., Algorithms for laying points optimally on a plane and a circle, Electronic archive http://arXiv.org, 2007, 0705.0350 [cs.CG], 1-6.

70. Sharipov R. A., Comparison of two formulas for metric connections in the bundle of Dirac spinors, Electronic archive http://arXiv.org, 2007, 0707.0482 [math.DG], 1-16.
71. Sharipov R. A., On the spinor structure of the homogeneous and isotropic universe in closed model, Electronic archive http://arXiv.org, 2007, 0708.1171 [math.DG], 1-25.
72. Sharipov R. A., On Killing vector fields of a homogeneous and isotropic universe in closed model, Electronic archive http://arXiv.org, 2007, 0708.2508 [math.DG], 1-19.
73. Sharipov R. A., On deformations of metrics and their associated spinor structures, Electronic archive http://arXiv.org, 2007, 0709.1460 [math.DG], 1-22.

74. Sharipov R. A., A note on pairs of metrics in a two-dimensional linear vector space, Electronic archive http://arXiv.org, 2007, 0710.3949 [math.MG], 1-9.
75. Sharipov R. A., A note on pairs of metrics in a three-dimensional linear vector space, Electronic archive http://arXiv.org, 2007, 0711.0555 [math.MG], 1-17.

76. Sharipov R. A., A cubic identity for the Infeld-van der Waerden field and its application, Electronic archive http://arXiv.org, 2008, 0801.0008 [math.DG], 1-18.
77. Sharipov R. A., A note on Kosmann-Lie derivatives of Weyl spinors, Electronic archive http://arXiv.org, 2008, 0801.0622 [math.DG], 1-22.
78. Sharipov R. A., On operator fields in the bundle of Dirac spinors, Electronic archive http://arXiv.org, 2008, 0802.1491 [math.DG], 1-14.

79. Sharipov R. A., Transfinite normal and composition series of groups, Electronic archive http://arXiv.org, 2009, 0908.2257 [math.GR], 1-12.
80. Sharipov R. A., Transfinite normal and composition series of modules, Electronic archive http://arXiv.org, 2009, 0909.2068 [math.RT], 1-7.

81. Sharipov R. A., A note on Khabibullin's conjecture for integral inequalities, Electronic archive http://arXiv.org, 2010, 1008.0376 [math.CA], 1-17.
82. Sharipov R. A., Direct and inverse conversion formulas associated with Khabibullin's conjecture for integral inequalities, Electronic archive http://arXiv.org, 2010, 1008.1572 [math.CA], 1-7.
83. Sharipov R. A., A counterexample to Khabibullin's conjecture for integral inequalities, Electronic archive http://arXiv.org, 2010, 1008.2738 [math.CA], 1-10.

84. Sharipov R. A., A note on a perfect Euler cuboid, Electronic archive http://arXiv.org, 2011, 1104.1716 [math.NT], 1-8.
85. Sharipov R. A., A note on the Sopfr(n) function, Electronic archive http://arXiv.org, 2011, 1104.5235 [math.NT], 1-7.
86. Sharipov R. A., Perfect cuboids and irreducible polynomials, Electronic archive http://arXiv.org, 2011, 1108.5348 [math.NT], 1-8.
87. Sharipov R. A., A note on the first cuboid conjecture, Electronic archive http://arXiv.org, 2011, 1109.2534 [math.NT], 1-6.
88. Sharipov R. A., A note on the second cuboid conjecture. Part I, Electronic archive http://arXiv.org, 2012, 1201.1229 [math.NT], 1-10.
89. Sharipov R. A., A note on the third cuboid conjecture. Part I, Electronic archive http://arXiv.org, 2012, 1203.2567 [math.NT], 1-34.
90. Sharipov R. A., Perfect cuboids and multisymmetric polynomials, Electronic archive http://arXiv.org, 2012, 1205.3135 [math.NT], 1-12.
91. Sharipov R. A., On an ideal of multisymmetric polynomials associated with perfect cuboids, Electronic archive http://arXiv.org, 2012, 1206.6769 [math.NT], 1-17.
92. Sharipov R. A., On the equivalence of cuboid equations and their factor equations, Electronic archive http://arXiv.org, 2012, 1207.2102 [math.NT], 1-11.
93. Sharipov R. A., A biquadratic Diophantine equation associated with perfect cuboids, Electronic archive http://arXiv.org, 2012, 1207.4081 [math.NT], 1-17.
94. Ramsden J. R., Sharipov R. A., Inverse problems associated with perfect cuboids, Electronic archive http://arXiv.org, 2012, 1207.6764 [math.NT], 1-11.
95. Sharipov R. A., On a pair of cubic equations associated with perfect cuboids, Electronic archive http://arXiv.org, 2012, 1208.0308 [math.NT], 1-15.
96. Sharipov R. A., On two elliptic curves associated with perfect cuboids, Electronic archive http://arXiv.org, 2012, 1208.1227 [math.NT], 1-11.
97. Ramsden J. R., Sharipov R. A., On singularities of the inverse problems associated with perfect cuboids, Electronic archive http://arXiv.org, 2012, 1208.1859 [math.NT], 1-6.
98. Ramsden J. R., Sharipov R. A., On two algebraic parametrizations for rational solutions of the cuboid equations, Electronic archive http://arXiv.org, 2012, 1208.2587 [math.NT], 1-17.
99. Sharipov R. A., A note on solutions of the cuboid factor equations, Electronic archive http://arXiv.org, 2012, 1209.0723 [math.NT], 1-15.
100. Sharipov R. A., A note on rational and elliptic curves associated with the cuboid factor equations, Electronic archive http://arXiv.org, 2012, 1209.5706 [math.NT], 1-15.
101. Ramsden J. R., Sharipov R. A., Two and three descent for elliptic curves associated with perfect cuboids, Electronic archive http://arXiv.org, 2013, 1303.0765 [math.NT], 1-37.

102. Sharipov R. A., A model with two quantum particles similar to the hydrogen atom, Electronic archive http://arXiv.org, 2013, 1308.0221 [quant-ph], 1-11.

103. Sharipov R. A., Clusters of exponential functions in the space of square integrable functions, Electronic archive http://arXiv.org, 2014, 1410.7202 [math.FA], 1-8.
104. Sharipov R. A., On root mean square approximation by exponential functions, Electronic archive http://arXiv.org, 2014, 1411.2467 [math.CA], 1-6.
105. Sharipov R. A., On a problem associated with approximation by exponential functions, Ufa Math. Journal, 7(2015), No. 1, 86-97.

106. Masharov A. A., Sharipov R. A., A strategy of numeric search for perfect cuboids in the case of the second cuboid conjecture, Electronic archive http://arXiv.org, 2015, 1504.07161 [math.NT], 1-21.
107. Sharipov R. A., Reverse asymptotic estimates for roots of the cuboid characteristic equation in the case of the second cuboid conjecture, Electronic archive http://arXiv.org, 2015, 1505.00724 [math.NT], 1-17.
108. Sharipov R. A., Asymptotic estimates for roots of the cuboid characteristic equation in the linear region, Electronic archive http://arXiv.org, 2015, 1505.02745 [math.NT], 1-17.
109. Sharipov R. A., Asymptotic estimates for roots of the cuboid characteristic equation in the nonlinear region, Electronic archive http://arXiv.org, 2015, 1506.04705 [math.NT], 1-24.
110. Sharipov R. A., Asymptotic approach to the perfect cuboid problem, Ufa Math. Journal, 7(2015), No. 3, 100-113.

111. Sharipov R. A., A note on invertible quadratic transformations of the real plane, Electronic archive http://arXiv.org, 2015, 1507.01861 [math.AG], 1-21.
112. Sharipov R. A., On some higher degree sign-definite multivariate polynomials associated with definite quadratic forms, Electronic archive http://arXiv.org, 2015, 1507.05056 [math.AG], 1-5.
113. Sharipov R. A., On positive bivariate quartic forms, Electronic archive http://arXiv.org, 2015, 1507.07125 [math.AG], 1-14.
114. Sharipov R. A., Multiple discriminants and critical values of a multivariate polynomial, Electronic archive http://arXiv.org, 2015, 1508.00551 [math.AG], 1-10.
115. Sharipov R. A., On quartic forms associated with cubic transformations of the real plane, Electronic archive http://arXiv.org, 2015, 1508.03005 [math.AG], 1-10.
116. Sharipov R. A., A rough classification of potentially invertible cubic transformations of the real plane, Electronic archive http://arXiv.org, 2015, 1508.04703 [math.AG], 1-8.

117. Gallyamov R. R., Kadyrov I. R., Kashelevskiy D. D., Kutlugallyamov N. G., Sharipov R. A., A fast modulo primes algorithm for searching perfect cuboids and its implementation, Electronic archive http://arXiv.org, 2016, 1601.00636 [math.AG], 1-11.
118. Sharipov R. A., On Walter Wyss's no perfect cuboid paper, Electronic archive http://arXiv.org, 2017, 1704.00165 [math.NT], 1-44.

119. Sharipov R. A., Comparison of two classifications of a class of ODE's in the case of general position, Electronic archive http://arXiv.org, 2017, 1704.05022 [math.CA], 1-17.
120. Sharipov R. A., Comparison of two classifications of a class of ODE's in the first case of intermediate degeneration, Electronic archive http://arXiv.org, 2017, 1705.01928 [math.CA], 1-26.
121. Sharipov R. A., Umbilical and zero curvature equations in a class of second order ODE's, Electronic archive http://arXiv.org, 2017, 1705.06389 [math.CA], 1-19.

122. Sharipov R. A., Tetrahedral discretizations of the Schrodinger operator for the purposes of quantum chemistry, Electronic archive http://viXra.org, 2018, 1808.0202 [Functions and Analysis], 1-35.
123. Sharipov R. A., On simultaneous approximation of several eigenvalues of a semi-definite self-adjoint linear operator in a Hilbert space, Electronic archive http://arXiv.org, 2019, 1902.06722 [math.ST], 1-10.

124. Ageev O. V., Sharipov R. A., On linear regression in three-dimensional Euclidean space, Electronic archive http://arXiv.org, 2019, 1907.06009 [cs.CG], 1-4.
125. Ageev O. V., Sharipov R. A., On cylindrical regression in three-dimensional Euclidean space, Electronic archive http://arXiv.org, 2019, 1908.02215 [cs.CG], 1-10.

126. Sharipov R. A., On upper limits for the height of inflated towers, Electronic archive https://vixra.org, 2020, 2008.0185 [Classical Physics], 1-18.

127. Sharipov R. A., Multiple discriminants and extreme values of polynomials in several variables, Journal of Mathematical Sciences, 2020, V. 245, No. 1, P. 89-97.

128. Sharipov R. A., On a simplified version of Hadamard's maximal determinant problem, Electronic archive http://arXiv.org, 2021, 2104.01749 [math.NT], 1-6.
129. Sharipov R. A., Hadamard matrices in {0,1} presentation and an algorithm for generating them, Electronic archive http://arXiv.org, 2021, 2105.01485 [math.CO], 1-12.
130. Sharipov R. A., Pseudo-Hadamard matrices of the first generation and an algorithm for producing them, Electronic archive http://arXiv.org, 2021, 2105.08974 [cs.DS], 1-9.

131. Sharipov R. A., Symmetry-based approach to the problem of a perfect cuboid, Journal of Mathematical Sciences, 2021, V. 252, No. 2, P. 266-282.

132. Sharipov R. A., Evolution patterns in Collatz problem, Electronic archive http://arXiv.org, 2022, 2202.04441 [math.GM], 1-10.

133. Sharipov R. A., A note on electromagnetic energy in the context of cosmology, Electronic archive https://vixra.org, 2022, 2207.0092 [Relativity and Cosmology], 1-11.
134. Sharipov R. A., A three-dimensional brane universe in a four-dimensional spacetime with a Big Bang, Electronic archive https://vixra.org, 2022, 2207.0173 [Relativity and Cosmology], 1-10.
135. Sharipov R. A., Lagrangian approach to deriving the gravity equations for a 3D-brane universe, Electronic archive https://vixra.org, 2023, 2301.0033 [Relativity and Cosmology], 1-12.
136. Sharipov R. A., Hamiltonian approach to deriving the gravity equations for a 3D-brane universe, Electronic archive https://vixra.org, 2023, 2302.0120 [Relativity and Cosmology], 1-21.
137. Sharipov R. A., Energy conservation law for the gravitational field in a 3D-brane universe, Electronic archive https://vixra.org, 2023, 2303.0123 [Relativity and Cosmology], 1-12.
138. Sharipov R. A., Speed of gravity can be different from the speed of light, Electronic archive https://vixra.org, 2023, 2304.0225 [Relativity and Cosmology], 1-18.
139. Sharipov R. A., On superluminal non-baryonic matter in a 3D-brane universe, Electronic archive https://vixra.org, 2023, 2305.0113 [Relativity and Cosmology], 1-7.

140. Sharipov R. A., 3D-brane gravity without equidistance postulate, Electronic archive https://vixra.org, 2023, 2306.0104 [Relativity and Cosmology], 1-14.
141. Sharipov R. A., Lagrangian approach to deriving the gravity equations in a 3D-brane universe without equidistance postulate, Electronic archive https://vixra.org, 2023, 2307.0039 [Relativity and Cosmology], 1-18.
142. Sharipov R. A., Superluminal non-baryonic particles in a 3D-brane universe without equidistance postulate, Electronic archive https://vixra.org, 2023, 2307.0072 [Relativity and Cosmology], 1-11.
143. Sharipov R. A., Energy conservation law for the gravitational field in a 3D-brane universe without equidistance postulate, Electronic archive https://vixra.org, 2023, 2308.0175 [Relativity and Cosmology], 1-20.

144. Sharipov R. A., Decay of a superbradyon into a baryonic particle and its antiparticle, Electronic archive https://vixra.org, 2024, 2403.0041 [Relativity and Cosmology], 1-8.
145. Sharipov R. A., Relativistic hardening and softening of fast moving springs, ResearchGate network https://www.researchgate.net, 2024, № 379537924 [Relativity and Cosmology], 1-7.

Books.

This resource was initially placed at
http://www.geocities.com/r-sharipov/e4-b.htm

1. Sharipov R. A., Theory of representations of finite groups, Bash-NII-Stroy, Ufa, 1995 (both English and Russian versions are now available on-line).
2. Sharipov R. A., Course of linear algebra and multidimensional geometry, Bashkir State University, Ufa, 1996, (both English and Russian versions of the book are now available on-line).
3. Sharipov R. A., Course of differential geometry, Bashkir State University, Ufa, 1996 (both English and Russian versions of the book are now available on-line).
4. Sharipov R. A., Classical electrodynamics and theory of relativity, Bashkir State University, Ufa, 1996 (both English and Russian versions of the book are now available on-line).
5. Sharipov R. A. Foundations of geometry for university students and high-school students, Bashkir State University, 1998 (both English and Russian versions of the book are now available on-line).
6. Sharipov R. A. Quick introduction to tensor analysis, free on-line textbook, 2004 (both English and Russian versions are now available).
7. Sharipov R. A. Course of analytical geometry, Bashkir State University, 2011 (English version is now available).
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