4 papers · 1 filter
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…
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…
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…