location:  Publications → journals → CJM
Abstract view

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

Published:2017-07-20

• Kimball Martin,
Department of Mathematics, University of Oklahoma
 Format: LaTeX MathJax PDF

## 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, congruences, quaternion algebras
 MSC Classifications: 11F33 - Congruences for modular and $p$-adic modular forms [See also 14G20, 22E50] 11R52 - Quaternion and other division algebras: arithmetic, zeta functions

 top of page | contact us | privacy | site map |