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arXiv:1302.2359 [math.NT]AbstractReferencesReviewsResources

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

Alexander Berkovich, Frank Patane

Published 2013-02-10, updated 2013-08-16Version 4

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.

Comments: 27 pages
Categories: math.NT
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