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math.NT2018
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…
math.NT2018★ 2 cited
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…
math.NT2018★ 5 cited
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…