Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients
Number Theory
2013-08-19 v4
Abstract
We state and prove an identity which represents the most general eta-products of weight 1 by binary quadratic forms. We discuss the utility of binary quadratic forms in finding a multiplicative completion for certain eta-quotients. We then derive explicit formulas for the Fourier coefficients of certain eta-quotients of weight 1 and level 47, 71, 135,648 1024, and 1872.
Keywords
Cite
@article{arxiv.1302.2359,
title = {Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients},
author = {Alexander Berkovich and Frank Patane},
journal= {arXiv preprint arXiv:1302.2359},
year = {2013}
}
Comments
27 pages