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math.NT2023★ 2 cited
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…
math.NT2023★ 3 cited
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…