Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2011; 26(1): 67-77

Printed March 1, 2011

https://doi.org/10.4134/CKMS.2011.26.1.67

Copyright © The Korean Mathematical Society.

Some Eisenstein series identities related to modular equation of the fourth order

Bhaskar Srivastava

Lucknow University

Abstract

We find some Eisenstein series related to modulus 4 using a theta function identity of McCullough and Shen and residue theorem for elliptic functions.

Keywords: Eisenstein series, theta functions, $q$-hypergeometric series

MSC numbers: 11F20, 33D15