6 papers · 1 filter
Special values of Green's functions on hyperbolic -space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
Gross, Kohnen and Zagier proved an averaged version of the algebraicity conjecture for special values of higher Green's functions on modular curves. In this work, we study an analo…
Self-intersection of the relative dualizing sheaf on modular curves X(N)
Miguel Grados, Anna-Maria von Pippich
Let be a composite, odd, and square-free integer and let be the principal congruence subgroup of level . Let be the modular curve of genus associated…
Mock modular forms whose shadows are Eisenstein series of integral weight
Sebastián Herrero, Anna-Maria von Pippich
The purpose of this article is to give a simple and explicit construction of mock modular forms whose shadows are Eisenstein series of arbitrary integral weight, level, and charact…
A Jensen-Rohrlich type formula for the hyperbolic 3-space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
In this article we give a Jensen-Rohrlich type formula for a certain class of automorphic functions on the hyperbolic 3-space for the group .
A Kronecker limit type formula for elliptic Eisenstein series
Anna-Maria von Pippich
Let be a Fuchsian subgroup of the first kind acting by fractional linear transformations on the upper half-plane , and let $M=Γ\b…
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…