Congruences for modular forms mod 2 and quaternionic $S$-ideal classes

Kimball Martin

Congruences for modular forms mod 2 and quaternionic $S$-ideal classes

Number Theory 2020-06-11 v2

Authors: Kimball Martin

Abstract

We prove many simultaneous congruences mod 2 for elliptic and Hilbert modular forms among forms with different Atkin--Lehner eigenvalues. The proofs involve the notion of quaternionic $S$ -ideal classes and the distribution of Atkin--Lehner signs among newforms.

Keywords

modular forms siegel modular forms

Cite

@article{arxiv.1701.07864,
  title  = {Congruences for modular forms mod 2 and quaternionic $S$-ideal classes},
  author = {Kimball Martin},
  journal= {arXiv preprint arXiv:1701.07864},
  year   = {2020}
}

Comments

19 pages; minor revisions, to appear in Canad. J. Math

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