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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
Let be a triple consisting of a smooth, compact hyperbolic Riemann surface of genus , and an dimensional unitary multiplier system of admissible weight …
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…