Elliptic DedekindRademacher Sums and Transformation Formulae of Certain Infinite Series
Preprint Series # 863 Machide, Tomoya Elliptic DedekindRademacher Sums and Transformation Formulae of Certain Infinite Series. (2007); AbstractWe give a transformation formula for certain infinite series in which some elliptic DedekindRademacher sums arise. In the course of its proof, we also obtain a transformation formula for elliptic DedekindRademacher sums. When a complex parameter $¥tau$ tends to $i ¥infty$, these represent some classical results which include the reciprocity formula for ApostolDedekind sums.
Item Type:  Preprint 

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:  11xx NUMBER THEORY 

ID Code:  1717 

