A modular type formula for Euler infinite product $(1-x)(1-xq)(1-xq^2)(1-xq^3)...$
Number Theory
2011-12-22 v2 Quantum Algebra
Abstract
The main goal of this paper is to give a modular type representation for the infinite product . It is shown that this representation essentially contains the well-known modular formulae either for Dedekind's eta function, Jacobi theta function or for certain Lambert series. Thus a new and unified approach is outlined for the study of elliptic and modular functions and related series.
Keywords
Cite
@article{arxiv.0905.1343,
title = {A modular type formula for Euler infinite product $(1-x)(1-xq)(1-xq^2)(1-xq^3)...$},
author = {Changgui Zhang},
journal= {arXiv preprint arXiv:0905.1343},
year = {2011}
}
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29 pages