14 citations · 17 across the 7 of their papers we have counts for
9 papers
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 hyperbo…
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…
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 hyperbolic…
On the geometric trace of a generalized Selberg trace formula
András Biró, Dávid Tóth
A certain generalization of the Selberg trace formula was proved by the first named author in 1999. In this generalization instead of considering the integral of (where $K…
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-…
Bykovskii-type theorem for the Picard manifold
Antal Balog, András Biró, Giacomo Cherubini +1
We generalise a result of Bykovskii to the Gaussian integers and prove an asymptotic formula for the prime geodesic theorem in short intervals on the Picard manifold. Previous work…
The prime geodesic theorem in square mean
Antal Balog, András Biró, Gergely Harcos +1
We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for . We also develop a sh…
Local average of the hyperbolic circle problem for Fuchsian groups
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 hyperbolic…
The class number one problem for the real quadratic fields
András Biró, Kostadinka Lapkova
We solve unconditionally the class number one problem for the -parameter family of real quadratic fields with square-free discriminant for p…