| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594053 | Journal of Number Theory | 2014 | 36 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Berkovich, Frank Patane,