7 citations · 9 across the 5 of their papers we have counts for
7 papers
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…
Meromorphic modular forms with rational cycle integrals
Steffen Löbrich, Markus Schwagenscheidt
We study rationality properties of geodesic cycle integrals of meromorphic modular forms associated to positive definite binary quadratic forms. In particular, we obtain finite rat…
Niebur-Poincaré Series and Traces of Singular Moduli
Steffen Löbrich
We compute the Fourier coefficients of analogues of Kohnen and Zagier's modular forms of weight and negative discriminant. These functions can also be written as twis…
Linear Incongruences for Generalized Eta-Quotients
Steffen Löbrich
For a given generalized eta-quotient, we show that linear progressions whose residues fulfill certain quadratic equations do not give rise to a linear congruence modulo any prime.…
A Gap in the Spectrum of the Faltings Height
Steffen Löbrich
We show that the minimum of the stable Faltings height on elliptic curves found by Deligne is followed by a gap. This means that there is a constant such th…
Radial Limits of the Universal Mock Theta Function
Min-Joo Jang, Steffen Löbrich
Referring to Ramanujan's original definition of a mock theta function, Rhoades asked for explicit formulas for radial limits of the universal mock theta functions and .…