15 citations · 16 across the 8 of their papers we have counts for
23 papers
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…
Binary theta functions and Borcherds products
Markus Schwagenscheidt, Brandon Williams
We obtain infinite product expansions in the sense of Borcherds for theta functions associated with certain positive-definite binary quadratic and binary hermitian forms. Among oth…
Harmonic weak Maass forms and periods II
Claudia Alfes-Neumann, Jan Hendrik Bruinier, Markus Schwagenscheidt
In this paper we investigate the Fourier coefficients of harmonic Maass forms of negative half-integral weight. We relate the algebraicity of these coefficients to the algebraicity…
Cycle Integrals of the Parson Poincaré Series and Intersection Angles of Geodesics on Modular Curves
Alessandro Lägeler, Markus Schwagenscheidt
We prove a geometric formula for the cycle integrals of Parson's weight 2k modular integrals in terms of the intersection angles of geodesics on modular curves. Our result is an an…
Arithmetic properties of Fourier coefficients of meromorphic modular forms
Steffen Löbrich, Markus Schwagenscheidt
We investigate integrality and divisibility properties of Fourier coefficients of meromorphic modular forms of weight associated to positive definite integral binary quadratic…
Locally harmonic Maass forms and periods of meromorphic modular forms
Steffen Löbrich, Markus Schwagenscheidt
We investigate a new family of locally harmonic Maass forms which correspond to periods of modular forms. They transform like negative weight modular forms and are harmonic apart f…