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math.NT2025
Prime Geodesic Theorem for Arithmetic Compact Surfaces: Principal Congruence Case
Chenhao Tang, Han Wu, Jie Yang +1
We generalize Koyama's bound of the error term in the prime geodesic theorems to the principal congruence subgroups for quaternion algebras. Our method avoids the spectral s…
math.RT2025
Godement--Jacquet L-function and homological theta lifting
Rui Chen, Yufeng Li, Xiaohuan Long +2
In this paper we investigate the theta lifting of type II dual pairs over a non-Archimedean local field, by combining the homological method of Adams--Prasad--Savin and the analyti…