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

Published 3 Jul 2025 in math.NT | (2507.02522v1)

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.

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András Biró

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