3 papers
math.NT2022
Bounds for canonical Green's functions at cusps
Priyanka Majumder, Anna-Maria von Pippich
Let be a cofinite Fuchsian subgroup. The canonical Green's function associated with arises in Arakelov theory when establishing asymptotics for Arakelov invariants of the m…
math.NT2017
Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products
Anna-Maria von Pippich, Markus Schwagenscheidt, Fabian Völz
The classical Kronecker limit formula describes the constant term in the Laurent expansion at the first order pole of the non-holomorphic Eisenstein series associated to the cusp a…
math.NT2015
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…