asymptotic analysis 1hyperbolic surfaces 1prime geodesic theorem 1spectral determinant 1weighted laplacian 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.SP2026
Asymptotics of the spectral determinant of the weighted Laplacian for a sequence of compact Riemann surfaces of infinitely growing volume
Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti
The paper proves an analogue of the prime geodesic theorem for weighted prime geodesic counts on compact hyperbolic surfaces and shows that the logarithm of the weighted Laplacian’…
math.NT2026
Twisted dynamical zeta functions and the Fried's conjecture
Polyxeni Spilioti
This is a survey article on the twisted dynamical zeta functions of Ruelle and Selberg and the Fried's conjecture. It is based on the mini-course: "Twisted Ruelle zeta function, co…
math.SP2026
Determinants of twisted Laplacians and the twisted Selberg zeta function
Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti
Let be an orbisurface, meaning a compact hyperbolic Riemann surface possibly with a finite number of elliptic points, and let denote its unit tangent bundle. We consider…