The number of representations of integers by ternary subforms of x2 + y2 + z2 or x2 + y2 + 2z2

In this article, we find all spaces of cusp forms of weight 32 and dimension 1. Furthermore, we construct bases for those spaces consisting of eta-quotients and find exact formulas for their Fourier coefficients. As applications, we provide closed formulas for the number of representations of intege...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2025-06, Vol.546 (2), p.129246, Article 129246
Main Authors: Jung, Ho Yun, Kim, Kyoungmin
Format: Article
Language:English
Subjects:
eta-quotients
Modular forms
Representations of ternary quadratic forms
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