Work

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

Year: 2017

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1701.07864

Author: Martin, Kimball

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2951247774

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