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Murmurations

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arxiv 2310.07681 v2 pith:L5NNGVRI submitted 2023-10-11 math.NT

Nina Zubrilina This is my paper · ORCID
classification math.NT
keywords casecoefficientscorrelationestablishfamiliesformsfouriermodular
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We establish a case of the surprising correlation phenomenon observed in the recent works of He, Lee, Oliver, Pozdnyakov, and Sutherland between Fourier coefficients of families of modular forms and their root numbers.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Murmurations using Petersson trace formula

    math.NT 2025-07 conditional novelty 6.0 of 10

    Murmurations for modular forms in the weight aspect are proved for a wider range using the Petersson trace formula, under GRH for Dirichlet L-functions.

  2. 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.

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