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Some restricted sum formulas for double zeta values

Authors :
Tomoya Machide
Source :
Proc. Japan Acad. Ser. A Math. Sci. 89, no. 3 (2013), 51-54
Publication Year :
2013
Publisher :
Project Euclid, 2013.

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.<br />ver.1

Details

ISSN :
03862194
Volume :
89
Database :
OpenAIRE
Journal :
Proceedings of the Japan Academy, Series A, Mathematical Sciences
Accession number :
edsair.doi.dedup.....693991e79afa8336efe1ac86dbc4640d
Full Text :
https://doi.org/10.3792/pjaa.89.51