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arXiv · 2606.27152

Asymptotics of the Selberg Zeta function on the spin moduli space

Cipriana Anghel·Sergiu Moroianu·Rareş Stan
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Abstract

We prove a limited asymptotic expansion up to order $t^4\log t$ of the logarithmic derivative of the Selberg zeta function for the spin Dirac operator on compact surfaces for families of hyperbolic metrics degenerating towards complete hyperbolic metrics with cusps in a pinching process where the lengths $l_j(t)$ of certain disjoint simple closed geodesics converge smoothly to $0$ as $t\to 0$.

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Cipriana Anghel, Sergiu Moroianu, Rareş Stan. 2026-06-25. Asymptotics of the Selberg Zeta function on the spin moduli space. https://arxiv.org/abs/2606.27152

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