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20042026
most citedThe Selberg trace formula and Selberg zeta-function for cofinite Kleinian groups with finite-dimensional unitary representations

9 citations · 24 across the 13 of their papers we have counts for

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math.NT2026

On a generating function of the basis of weakly holomorphic functions on an elliptic curve

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlović

Let $\Gz$ be a cofinite Fuchsian group whose quotient $\Gz\backslash\HH$ has genus one and a single cusp, normalized to be at with width one. Let $\Xg$ be its smooth compa…

math.NT2020★ 1 cited

Super-zeta functions and regularized determinants associated to cofinite Fuchsian groups with finite-dimensional unitary representations

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

Let be a finite volume, non-compact hyperbolic Riemann surface, possibly with elliptic fixed points, and let denote a finite dimensional unitary representation of the funda…

math.NT2018

Effective sup-norm bounds on average for cusp forms of even weight

Joshua S. Friedman, Jay Jorgenson, Jürg Kramer

Let be a Fuchsian subgroup of the first kind acting on the upper half-plane . Consider the -dimensional space of cusp for…

math.NT2017

Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

Let denote a sequence of complex numbers and assume that that the counting function $#\{λ_{k} \in Λ: | λ_{k}| < T\} =O(T^{n})$ for some integer . From Hadamard's…

math.NT2016

An evaluation of the central value of the automorphic scattering determinant

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

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

math.NT2016

The determinant of the Lax-Phillips scattering operator

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

Let denote a finite volume, non-compact Riemann surface without elliptic points, and let denote the Lax-Phillips scattering operator. Using the superzeta function approach…