80 citations · 432 across the 27 of their papers we have counts for
22 papers · 1 filter
Tatuzawa's theorem for Rankin-Selberg -functions
Gergely Harcos, Jesse Thorner
Let and be unitary cuspidal automorphic representations of and over a number field . We establish a new zero-free region for all $\ma…
Exponential valuations on lattice polygons
Karoly J. Boroczky, Matyas Domokos, Ansgar Freyer +3
We classify translatively exponential and GL(2,Z) covariant valuations on lattice polygons valued at measurable real functions. A typical example of such valuations is induced by t…
The Prime Geodesic Theorem in Arithmetic Progressions
Dimitrios Chatzakos, Gergely Harcos, Ikuya Kaneko
We address the prime geodesic theorem in arithmetic progressions, and resolve conjectures of Golovchanski\uı-Smotrov (1999). In particular, we prove that the traces of closed geode…
A new zero-free region for Rankin-Selberg -functions
Gergely Harcos, Jesse Thorner
Let and be cuspidal automorphic representations of and with unitary central characters. We establish a new zero-free region for all $\ma…
A supplement to Chebotarev's density theorem
Gergely Harcos, Kannan Soundararajan
Let be a Galois extension of number fields with Galois group . We show that if the density of prime ideals in that split totally in tends to with a power s…
Beyond the spherical sup-norm problem
Valentin Blomer, Gergely Harcos, Péter Maga +1
We open a new perspective on the sup-norm problem and propose a version for non-spherical Maass forms when the maximal compact K is non-abelian and the dimension of the K-type gets…