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ON EISENSTEIN SERIES AND ∑ ∞ m,n=− ∞ qm2 +mn+2n 2

By Heng Huat, Chan, Yao Lin Ong and Communicated David E. Rohrlich

Abstract

Abstract. In this paper, we derive some new identities satisfied by the series m,n=− ∞ qm2 +mn+2n 2 using Ramanujan’s identities for L(q), M(q) and N(q). Our work is motivated by an attempt to develop a theory of elliptic functions to the septic base. Set, for |q | < 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2430
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