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arXiv · 1302.2359

Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients

Alexander Berkovich·Frank Patane
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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.

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Alexander Berkovich, Frank Patane. 2013-02-10. Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients. https://arxiv.org/abs/1302.2359

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