Proceedings of the Japan Academy, Series A, Mathematical Sciences

Some restricted sum formulas for double zeta values

Tomoya Machide

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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.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 89, Number 3 (2013), 51-54.

First available in Project Euclid: 1 March 2013

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Zentralblatt MATH identifier

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

Multiple zeta value double zeta value sum formula Bernoulli number Ramanujan’s identity


Machide, Tomoya. Some restricted sum formulas for double zeta values. Proc. Japan Acad. Ser. A Math. Sci. 89 (2013), no. 3, 51--54. doi:10.3792/pjaa.89.51.

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