Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2009; 46(1): 1-10

Printed January 1, 2009

Copyright © The Korean Mathematical Society.

On elliptic analogue of the Hardy sums

Yilmaz Simsek, Daeyeoul Kim, and Ja Kyung Koo

University of Akdeniz, National Institute for Mathematical Science, and Korea Advanced Institute of Science and Technology

Abstract

Main purpose of this paper is to define an elliptic analogue of the Hardy sums. Some results, which are related to elliptic analogue of the Hardy sums, are given.

Keywords: Dedekind sums, Hardy sums, Eisenstein series, theta functions, Weierstrass $\wp $-function, Jacobi form

MSC numbers: 11F20, 11M36, 14K25