Jay Jorgenson

activity

20162024

collaborators

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math.NT2024

On the functional equation of twisted Ruelle zeta function and Fried's conjecture

Jay Jorgenson, Min Lee, Lejla Smajlovic

Let $M$ be a finite volume hyperbolic Riemann surface with arbitrary signature, and let $χ$ be an arbitrary $m$ -dimensional multiplier system of weight $k$ . Let $R (s, χ)$ be the ass…

math.NT2016

Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series

Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović

Let $E (z, s)$ be the non-holomorphic Eisenstein series for the modular group $S L (2, Z)$ . The classical Kronecker limit formula shows that the second term in the Laurent exp…

math.NT2016

An evaluation of the central value of the automorphic scattering determinant

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

Let $M$ be a finite volume, non-compact hyperbolic Riemann surface, possibly with elliptic fixed points, and let $ϕ (s)$ denote the automorphic scattering determinant. From the know…