17 citations · 42 across the 15 of their papers we have counts for
3 papers · 1 filter
Certain aspects of holomorphic function theory on some genus zero arithmetic groups
Jay Jorgenson, Lejla Smajlovic, Holger Then
There are a number of fundamental results in the study of holomorphic function theory associated to the discrete group PSL(2,Z) including the following statements: The ring of holo…
On the wave representation of hyperbolic, elliptic, and parabolic Eisenstein series
Jay Jorgenson, Anna-Maria von Pippich, Lejla Smajlovic
We develop a unified approach to the construction of the hyperbolic and elliptic Eisenstein series on a finite volume hyperbolic Riemann surface. Specifically, we derive expression…
Applications of Kronecker's limit formula for elliptic Eisenstein series
Jay Jorgenson, Anna-Maria von Pippich, Lejla Smajlovic
We develop two applications of the Kronecker's limit formula associated to elliptic Eisenstein series: A factorization theorem for holomorphic modular forms, and a proof of Weil's…