paper

Cusp forms of weight 1/2 and pairs of quadratic forms

arXiv:2507.02522

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.

A new theorem (Theorem 1.2) is added