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An Elliptic Analogue of the Generalized Dedekind-Rademacher Sums
- Source :
- Hokkaido University Preprint Series in Mathematics. 785:1-12
- Publication Year :
- 2006
- Publisher :
- Department of Mathematics, Hokkaido University, 2006.
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Abstract
- In this paper we introduce an elliptic analogue of the generalized Dedekind-Rademacher sums which satisfy reciprocity laws. In these sums, Kronecker's double series play a role of elliptic Bernoulli functions. This paper gives an answer to the problem of S. Fukuhara and N. Yui concerning the elliptic Apostol-Dedekind sums. We also mention a relation between the generating function of Kronecker's double series and that of the (Debye) elliptic polylogarithms studied by A. Levin.
- Subjects :
- Bernoulli functions
Dedekind sums
Subjects
Details
- Language :
- English
- Volume :
- 785
- Database :
- OpenAIRE
- Journal :
- Hokkaido University Preprint Series in Mathematics
- Accession number :
- edsair.jairo.........8afe7d81b1279e60eec5c37505352da1