A. Pippich

activity

20152024

most citedA Kronecker limit type formula for elliptic Eisenstein series

4 citations · 4 across the 6 of their papers we have counts for

collaborators

7 papers

math.NT2024

Special values of Green's functions on hyperbolic $3$ -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…

math.AG2022

The arithmetic volume of the moduli space of abelian surfaces

Barbara Jung, Anna-Maria von Pippich

Let $A_{g}$ denote the moduli stack of principally polarized abelian varieties of dimension $g$ . The arithmetic height, or arithmetic volume, of $A_{g}$ ,…

math.NT2022

Self-intersection of the relative dualizing sheaf on modular curves X(N)

Miguel Grados, Anna-Maria von Pippich

Let $N \geq 3$ be a composite, odd, and square-free integer and let $Γ$ be the principal congruence subgroup of level $N$ . Let $X (N)$ be the modular curve of genus $g_{Γ}$ associated…

math.NT2018

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…

math.NT2018

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 $PSL_{2} (O_{K})$ .

math.NT2016★ 4 cited

A Kronecker limit type formula for elliptic Eisenstein series

Anna-Maria von Pippich

Let $Γ \subset PSL_{2} (R)$ be a Fuchsian subgroup of the first kind acting by fractional linear transformations on the upper half-plane $H$ , and let $M=Γ\b…