most citedThe Prime Geodesic Theorem in Arithmetic Progressions

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NT2023

Mean Values and Quantum Variance for Degenerate Eisenstein Series of Higher Rank

Dimitrios Chatzakos, Corentin Darreye, Ikuya Kaneko

We investigate the mean value of the inner product of squared degenerate maximal parabolic Eisenstein series against a smooth compactly supported function lying i…

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…