Corpus ID: 87012

A FEW REMARKS ON LINEAR FORMS INVOLVING CATALAN'S CONSTANT

@article{Zudilin2002AFR,
  title={A FEW REMARKS ON LINEAR FORMS INVOLVING CATALAN'S CONSTANT},
  author={W. Zudilin},
  journal={arXiv: Number Theory},
  year={2002}
}
  • W. Zudilin
  • Published 2002
  • Mathematics
  • arXiv: Number Theory
In the joint work (RZ) of T. Rivoal and the author, a hypergeometric construction was proposed for studing arithmetic properties of the values of Dirichlet's beta function �(s) at even positive integers. The construction gives some bonuses (RZ), Section 9, for Catalan's constant G = �(2), such as a second-order Apery-like recursion and a permutation group in the sense of G. Rhin and C. Viola (RV). Here we prove expected integrality properties of solutions to the above recursion as well as… Expand
On Catalan’S constant
On a linear form for Catalan's constant
An Apery-like Difference Equation for Catalan's Constant
  • W. Zudilin
  • Mathematics, Computer Science
  • Electron. J. Comb.
  • 2003
WELL-POISED GENERATION
Hypergeometry inspired by irrationality questions
A Determinantal Approach to Irrationality
Nombres D’Euler, approximants de Padé et constante de Catalan
...
1
2
...

References

SHOWING 1-10 OF 13 REFERENCES
An Apery-like Difference Equation for Catalan's Constant
  • W. Zudilin
  • Mathematics, Computer Science
  • Electron. J. Comb.
  • 2003
Calculus of Finite Differences.
Computerized deconstruction
A few remarks on ζ(3), Mat
  • Zametki [Math. Notes]
  • 1996
Gel fond, Calculus of finite differences
  • International Monographs on Advanced Mathematics and Physics
  • 1971
Gel ′ fond, Calculus of finite differences
  • International Monographs on Advanced Mathematics and Physics
  • 1971
Gel′fond, Calculus of finite differences, International Monographs on Advanced Mathematics and Physics, Hindustan Publishing Corp., Delhi, 1971, translated from the Russian
  • 1971
...
1
2
...