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Congruences of Hurwitz class numbers on square classes

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Publication:2089642
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DOI10.1016/j.aim.2022.108663OpenAlexW4294837467MaRDI QIDQ2089642

Olav K. Richter, Olivia Beckwith, Martin Westerholt-Raum

Publication date: 24 October 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11273


zbMATH Keywords

holomorphic projectionRamanujan-type congruencesHurwitz class numbers


Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Class numbers of quadratic and Hermitian forms (11E41)




Cites Work

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  • Heegner points and derivatives of \(L\)-series
  • Sums involving the values at negative integers of \(L\)-functions of quadratic characters
  • Modular forms and differential operators
  • Proof of a conjecture by Ahlgren and Ono on the non-existence of certain partition congruences
  • Holomorphic projections and Ramanujan’s mock theta functions
  • Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
  • A proof of Subbarao's conjecture
  • On class groups of imaginary quadratic fields
  • Projections of 𝐶^{∞} automorphic forms
  • Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers
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