4 papers
math.NT2026
Local square mean in the hyperbolic circle problem and sums of Salié sums
András Biró
Let be a finite volume Fuchsian group. The hyperbolic circle problem is the estimation of the number of elements of the -orbit of in a hyper…
math.NT2025
Cusp forms of weight 1/2 and pairs of quadratic forms
András Biró
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 c…
math.NT2025
Local square mean in the hyperbolic circle problem
András Biró
Let be a finite volume Fuchsian group. The hyperbolic circle problem is the estimation of the number of elements of the -orbit of in a hyperbol…
math.NT2025
Triple product integrals and Rankin-Selberg L-functions
András Biró
We prove a reciprocity formula that relates a spectral average of products of triple product integrals involving automorphic forms of weights and to the classical Rankin-…