Elliptic Dedekind-Rademacher Sums and Transformation Formulae of Certain Infinite Series
Preprint Series # 863
Machide, Tomoya Elliptic Dedekind-Rademacher Sums and Transformation Formulae of Certain Infinite Series. (2007);
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.
|Additional Information:||Please 10 copies.
My recommender is SHIBUKAWA Youichi.|
|Uncontrolled Keywords:||Generalized Dedekind sums, elliptic Dedekind sums, Transformation formulae, Kronecker's double series, modular forms, reciprocity formulae. |
|Subjects:||11-xx NUMBER THEORY|