2 papers
math.GM2026
Limit Values of Character Sums in Frobenius Formula of Three Permutations
Dun Liang, Bin Xu, Wenyan Yang
We study the asymptotic behaviour of the character summation part of the Frobenius formula for three conjugacy classes of the symmetric groups. When two conjugacy classes contain f…
math.NT2026
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…