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Elliptic Dedekind-Rademacher Sums and Transformation Formulae of Certain Infinite Series
Title: | Elliptic Dedekind-Rademacher Sums and Transformation Formulae of Certain Infinite Series |
Authors: | Machide, Tomoya Browse this author |
Keywords: | Generalized Dedekind sums | elliptic Dedekind sums | Transformation formulae | Kronecker's double series | modular forms | reciprocity formulae |
Issue Date: | 2007 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 863 |
Start Page: | 1 |
End Page: | 22 |
Abstract: | We give a transformation formula for certain infinite series in which some elliptic Dedekind-Rademacher sums arise. In the course of its proof, we also obtain a transformation formula for elliptic Dedekind-Rademacher sums. When a complex parameter $¥tau$ tends to $i ¥infty$, these represent some classical results which include the reciprocity formula for Apostol-Dedekind sums. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69672 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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