Lifting Congruences to weight 3/2
Neil Dummigan, Srilakshmi Krishnamoorthy
TL;DR
This paper establishes a link between congruences of Hecke eigenvalues for weight 2 newforms and corresponding congruences for weight 3/2 forms under specific conditions.
Contribution
It introduces a method to lift congruences from weight 2 to weight 3/2 forms, expanding understanding of modular form congruences.
Findings
Proves congruence lifting under certain conditions
Connects weight 2 and weight 3/2 modular forms
Provides new tools for studying modular form congruences
Abstract
Given a congruence of Hecke eigenvalues between newforms of weight , we prove, under certain conditions, a congruence between corresponding weight- forms.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Mathematical Identities