Cusp forms of weight 1/2 and pairs of quadratic forms
Number Theory
2025-07-23 v2
Abstract
We prove a spectral summation formula for the product of four Fourier coefficients of half-integral weight cusp forms in Kohnen's subspace. The other side of the formula involves certain generalized class numbers of pairs of quadratic forms with integer coefficients.
Cite
@article{arxiv.2507.02522,
title = {Cusp forms of weight 1/2 and pairs of quadratic forms},
author = {András Biró},
journal= {arXiv preprint arXiv:2507.02522},
year = {2025}
}
Comments
A new theorem (Theorem 1.2) is added