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math.NT2025
On a generating function of Niebur-Poincaré series
Kathrin Bringmann, Jay Jorgenson, Lejla Smajlović
Let be a Fuchsian group of the first kind which has a cusp of width one. In this paper, we first consider a generating function formed with t…
math.NT2013
Effective bounds for Faltings's delta function
J. Jorgenson, J. Kramer
We obtain bounds for the Faltings's delta function for any Riemann surface of genus greater than one. The bounds are in terms of the genus of the surface and two basic quantities c…