1. Some restricted sum formulas for double zeta values
- Author
-
Tomoya Machide
- Subjects
Pure mathematics ,Ramanujan’s identity ,sum formula ,Mathematics - Number Theory ,Multiple zeta value ,11M32 (Primary), 11B68 (Secondary) ,Mathematics::Number Theory ,General Mathematics ,Modulo ,11B68 ,Ramanujan's sum ,symbols.namesake ,FOS: Mathematics ,symbols ,double zeta value ,Congruence (manifolds) ,Number Theory (math.NT) ,Bernoulli number ,11M32 ,Mathematics - Abstract
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., ver.1
- Published
- 2013
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