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Title: On eisenstein series and ∑m,n=-∝ ∝Qm2+mn+2n2
Authors: Chan, H.H. 
Ong, Y.L.
Keywords: Eisenstein series
Elliptic functions
Modular equations
Issue Date: 1999
Citation: Chan, H.H.,Ong, Y.L. (1999). On eisenstein series and ∑m,n=-∝ ∝Qm2+mn+2n2. Proceedings of the American Mathematical Society 127 (6) : 1735-1744. ScholarBank@NUS Repository.
Abstract: In this paper, we derive some new identities satisfied by the series ∑m,n=-∝ ∝qm2+mn+2n2 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. ©1999 American Mathematical Society.
Source Title: Proceedings of the American Mathematical Society
ISSN: 00029939
Appears in Collections:Staff Publications

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