All Stories

  1. Positivity of rational functions and their diagonals
  2. On simultaneous diophantine approximations to ζ(2)
  3. On three theorems of Folsom, Ono and Rhoades
  4. Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$ ζ ( 2 )
  5. Regulator of modular units and Mahler measures
  6. On the irrationality measure of $ \pi^2$
  7. Generating functions of Legendre polynomials: A tribute to Fred Brafman
  8. A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS
  9. On the Mahler Measure of 1+X+1/X+Y +1/Y
  10. Lost in Translation
  11. Number Theory and Related Fields
  12. Period(d)ness of L-Values
  13. Logarithmic and Complex Constant Term Identities
  14. О мере иррациональности $\pi^2$
  15. Legendre polynomials and Ramanujan-type series for 1/π
  16. Complex series for 1/π
  17. Generating functions of Legendre polynomials: A tribute to Fred Brafman
  18. “Divergent” Ramanujan-type supercongruences
  19. From L-series of elliptic curves to Mahler measures
  20. Dedekind's  -function and Rogers-Ramanujan identities
  21. Cyclic q-MZSV sum
  22. Densities of Short Uniform Random Walks
  23. New analogues of Clausenʼs identities arising from the theory of modular forms
  24. The Erdős–Moser equation $1^{k}+2^{k}+\dots+(m-1)^{k}=m^{k}$ revisited using continued fractions
  25. Arithmetic hypergeometric series
  26. Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
  27. Арифметические гипергеометрические ряды
  28. A q-rious positivity
  29. A supercongruence motivated by the Legendre family of elliptic curves
  30. Experimental mathematics and mathematical physics
  31. On
  32. О суперсравнении, мотивированном лежандровым семейством эллиптических кривых
  33. NEW REPRESENTATIONS FOR APÉRY-LIKE SEQUENCES
  34. A refinement of Nesterenko’s linear independence criterion with applications to zeta values
  35. A hypergeometric problem
  36. Ramanujan-type supercongruences
  37. Experimental Mathematics and Mathematical Physics
  38. Neverending Fractions
  39. On the non-quadraticity of values of the q-exponential function and related q-series
  40. Hypergeometric transformations of linear forms in one logarithm
  41. Linear independence of values of Tschakaloff functions with different parameters
  42. Zeta stars
  43. An elementary proof of the irrationality of Tschakaloff series
  44. More Ramanujan-type formulae for $ 1/\pi^2$
  45. Approximations to -, di- and tri-logarithms
  46. Quadratic transformations and Guillera’s formulas for 1/π2
  47. Linear independence of values of Tschakaloff series
  48. Квадратичные преобразования и формулы Гиллеры для $1/\pi^2$
  49. Больше формул рамануджанова типа для $1/\pi^2$
  50. О линейной независимости значений рядов Чакалова
  51. A new lower bound for {\Vert (3/2)^k\Vert }
  52. Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper
  53. Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values
  54. Irrationality of certain numbers that contain values of the di- and trilogarithm
  55. New irrationality measures for $q$-logarithms
  56. Ramanujan-type formulae and irrationality measures of some multiples of $ {\pi}$
  57. Well-poised generation of Apéry-like recursions
  58. SÉRIES HYPERGÉOMÉTRIQUES BASIQUES, $q$-ANALOGUES DES VALEURS DE LA FONCTION ZÊTA ET SÉRIES D’EISENSTEIN
  59. Baker-Type Estimates for Linear Forms in the Values of $q$-Series
  60. Формулы рамануджанова типа и меры иррациональности некоторых кратных числа $\pi$
  61. On theorems of Gelfond and Selberg concerning integral-valued entire functions
  62. WELL-POISED HYPERGEOMETRIC TRANSFORMATIONS OF EULER-TYPE MULTIPLE INTEGRALS
  63. The Inverse Legendre Transform of a Certain Family of Sequences
  64. Binomial Sums Related to Rational Approximations to z(4)
  65. Heine's basic transform and a permutation group for q-harmonic series
  66. Об обратном преобразовании Лежандра одного семейства последовательностей
  67. Arithmetic of linear forms involving odd zeta values
  68. О биномиальных суммах, связанных с рациональными приближениями к $\zeta(4)$
  69. The Hypergeometric Equation and Ramanujan Functions
  70. Diophantine properties of numbers related to Catalan's constant
  71. Algebraic relations for multiple zeta values
  72. On the transcendence degree of the differential field generated by Siegel modular forms
  73. О функциональной трансцендентности $q$-дзета-значений
  74. Алгебраические соотношения для кратных дзета-значений
  75. Well-poised hypergeometric service for diophantine problems of zeta values
  76. On the irrationality measure for a $ q$-analogue of $ \zeta(2)$
  77. Very well-poised hypergeometric series and multiple integrals
  78. Irrationality of values of the Riemann zeta function
  79. Remarks on irrationality of q-harmonic series
  80. О целочисленности степенных разложений, связанных с гипергеометрическими рядами
  81. Совершенно уравновешенные гипергеометрические ряды и кратные интегралы
  82. О мере иррациональности $q$-аналога $\zeta(2)$
  83. О рекурсии третьего порядка типа Апери для $\zeta(5)$
  84. О диофантовых задачах для $q$-дзета-значений
  85. Об иррациональности значений дзета-функции Римана
  86. On the irrationality of ζ q (2)
  87. Cancellation of factorials
  88. One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
  89. Derivatives of Siegel modular forms and exponential functions
  90. On the irrationality of the values of the zeta function at odd integer points
  91. Сокращение факториалов
  92. Об иррациональности $\zeta_q(2)$
  93. Об иррациональности значений дзета-функции в нечетных точках
  94. Одно из восьми чисел $\zeta(5),\zeta(7),…,\zeta(17),\zeta(19)$ иррационально
  95. Одно из чисел $\zeta(5), \zeta(7), \zeta(9), \zeta(11)$ иррационально
  96. Производные зигелевых модулярных форм и показательные функции
  97. Thetanulls and differential equations
  98. Тэта-константы и дифференциальные уравнения
  99. Recurrent sequences and the measure of irrationality of values of elliptic integrals
  100. On the measure of linear and algebraic independence for values of entire hypergeometric functions
  101. Рекуррентные последовательности и мера иррациональности значений эллиптических интегралов
  102. О мере линейной и алгебраической независимости значений целых гипергеометрических функций
  103. Lower bounds for polynomials in the values of certain entire functions
  104. On the algebraic structure of functional matrices of special form
  105. On a measure of irrationality for values of $ G$-functions
  106. Об алгебраической структуре функциональных матриц специального вида
  107. Об оценках снизу многочленов от значений некоторых целых функций
  108. О мере иррациональности значений $G$-функций
  109. On rational approximations of values of a certain class of entire functions
  110. Preface
  111. Some preliminaries from number theory
  112. Continued fractions
  113. Metric theory of continued fractions
  114. Quadratic irrationals through a magnifier
  115. Hyperelliptic curves and Somos sequences
  116. From folding to Fibonacci
  117. The integer part of qα + β
  118. The Erdős–Moser equation
  119. Irregular continued fractions
  120. Appendix A Selected continued fractions
  121. References
  122. Rational Approximations to A q-Analogue of π and Some Other q-Series