Citation
Hh. Chan et Yl. Ong, On Eisenstein series and Sigma(infinity)(m,n=-infinity) q(m(2)+mn+2n(2)), P AM MATH S, 127(6), 1999, pp. 1735-1744
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
127
Issue
6
Year of publication
1999
Pages
1735 - 1744
Database
ISI
SICI code
0002-9939(199906)127:6<1735:OESASQ>2.0.ZU;2-S
Abstract
In this paper, we derive some new identities satisfied by the series Sigma(
m,n=-infinity)(infinity)q(m2+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.