16 citations · 30 across the 7 of their papers we have counts for
8 papers
The Manin constant and the modular degree
Kestutis Cesnavicius, Michael Neururer, Abhishek Saha
The Manin constant of an elliptic curve over is the nonzero integer that scales the differential determined by the normalized newform associated to $…
Note on Fourier expansions at cusps
François Brunault, Michael Neururer
This was originally an appendix to our paper `Fourier expansions at cusps' [arXiv:1807.00391]. The purpose of this note is to give a proof of a theorem of Shimura on the action of…
A magnetic modular form
Yingkun Li, Michael Neururer
In this paper, we prove a conjecture of Broadhurst and Zudilin \cite{BZ17} concerning a divisibility property of the Fourier coefficients of a meromorphic modular form using the ge…
Weil's converse theorem for Maass forms and cancellation of zeros
Michael Neururer, Thomas Oliver
We prove two principal results. Firstly, we characterise Maass forms in terms of functional equations for Dirichlet series twisted by primitive characters. The key point is that th…
Fourier expansions at cusps
François Brunault, Michael Neururer
In this article we study the fields generated by the Fourier coefficients of modular forms at arbitrary cusps. We prove that these fields are contained in certain cyclotomic extens…
Mahler measures of elliptic modular surfaces
Francois Brunault, Michael Neururer
In this article we develop a new method for relating Mahler measures of three-variable polynomials that define elliptic modular surfaces to L-values of modular forms. Using an idea…
Products of Eisenstein series and Fourier expansions of modular forms at cusps
Martin Dickson, Michael Neururer
We show, for levels of the form with squarefree, that in weights every cusp form is a linear combination of products of ce…
Eichler cohomology in general weights using spectral theory
Michael Neururer
In this paper, we construct a pairing between modular forms of positive real weight and elements of certain Eichler cohomology groups that were introduced by Knopp in 1974. We use…