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Some restricted sum formulas for double zeta values
- 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
- 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
Subjects
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