Rhin integrals
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Publication:2460532
DOI10.1134/S0001434607010233zbMath1183.11049OpenAlexW3192754852MaRDI QIDQ2460532
Publication date: 12 November 2007
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434607010233
polylogarithmRiemann zeta functionmultiple integralhypergeometric functionApéry approximationBeukers integralRhin integral
(zeta (s)) and (L(s, chi)) (11M06) Generalized hypergeometric series, ({}_pF_q) (33C20) Irrationality; linear independence over a field (11J72) Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Cites Work
- Arithmetic of linear forms involving odd zeta values
- Expansion of multiple integrals in linear forms
- A Note on the Irrationality of ζ(2) and ζ(3)
- La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
- Algebraic relations for multiple zeta values
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