Variations on murmurations

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arxiv 2505.01093 v1 pith:YZIMWXDJ submitted 2025-05-02 math.NT

Kimball Martin This is my paper · ORCID

classification math.NT

keywords murmurationsvariationscurvesdiscoveredellipticexploreformsmodular

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We explore several variations on the recently discovered phenomena of murmurations for elliptic curves and modular forms.

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On Murmurations and Trace Formulas
math.NT 2025-06 unverdicted novelty 3.0 of 10

A survey showing that all proven murmuration results rely on trace formulas, and sketching four conjectural new cases.