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math.NT2026
Quantitative nodal domain count for Maass forms
Peter Zenz
We consider a real even Hecke-Maass cusp form on the modular surface, with Laplace eigenvalue . We prove that its restriction to any fixed compact segment of the v…
math.DS2026
Sharp effective equidistribution of closed geodesics in compact hyperbolic surfaces
Junehyuk Jung, Insung Park, Peter Zenz
We prove a sharp effective equidistribution theorem for closed geodesics on a compact hyperbolic surface. This is achieved by carefully analyzing the Selberg trace formula twisted…