Some restricted sum formulas for double zeta values. (English) Zbl 1362.11079

Summary: We give some restricted sum formulas for double zeta values whose arguments satisfy certain congruence conditions modulo 2 or 6, and also give an application to identities showed by Ramanujan for sums of products of Bernoulli numbers with a gap of 6.


11M32 Multiple Dirichlet series and zeta functions and multizeta values
11B68 Bernoulli and Euler numbers and polynomials
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