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A magnetic modular form

Published 13 Aug 2018 in math.NT | (1808.04157v2)

Abstract: 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 generalization of the Shimura lift by Borcherds \cite{Borcherds98} and Hecke operators on vector-valued modular forms developed by Bruinier and Stein \cite{BS10}. Furthermore, we construct a family of meromorphic modular forms with this property.

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Authors (2)

  1. Yingkun Li 
  2. Michael Neururer 

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