Jay Jorgenson

works on

asymptotic analysis 1 hyperbolic surfaces 1 prime geodesic theorem 1 spectral determinant 1 weighted laplacian 1

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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

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.SP2026

Determinants of twisted Laplacians and the twisted Selberg zeta function

Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti

Let $X$ be an orbisurface, meaning a compact hyperbolic Riemann surface possibly with a finite number of elliptic points, and let $X_{1}$ denote its unit tangent bundle. We consider…