5 papers
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…
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
Let be a triple consisting of a smooth, compact hyperbolic Riemann surface of genus , and an dimensional unitary multiplier system of admissible weight …
An explicit construction of heat kernels and Green's functions in measure spaces
Palle Jorgensen, Jay Jorgenson, Lejla Smajlovic
We explicitly construct a heat kernel as a Neumann series for certain function spaces, such as , , and Hilbert spaces, associated to a locally compact Hausdorff space…
Determinants of twisted Laplacians and the twisted Selberg zeta function
Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti
Let be an orbisurface, meaning a compact hyperbolic Riemann surface possibly with a finite number of elliptic points, and let denote its unit tangent bundle. We consider…
On the functional equation of twisted Ruelle zeta function and Fried's conjecture
Jay Jorgenson, Min Lee, Lejla Smajlovic
Let be a finite volume hyperbolic Riemann surface with arbitrary signature, and let be an arbitrary -dimensional multiplier system of weight . Let be the ass…