Modular Forms on Noncongruence Subgroups and Atkin–Swinnerton-Dyer Relations

DOI10.1080/10586458.2010.10129064zbMath1225.11049arXiv0805.2144OpenAlexW2088080695MaRDI QIDQ3550682

Andrew Rupinski, Helena A. Verrill, Benjamin Linowitz, Liqun Fang, Jerome William Hoffman

Publication date: 1 April 2010

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

Full work available at URL: https://arxiv.org/abs/0805.2144

zbMATH Keywords

modular formsnoncongruence subgroupsAtkin-Swinnerton-Dyer relations

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (7)

Noncongruence subgroups and Maass waveforms ⋮ On $ℓ$-adic representations for a space of noncongruence cuspforms ⋮ Potentially 𝐺𝐿₂-type Galois representations associated to noncongruence modular forms ⋮ On Atkin and Swinnerton-Dyer congruence relations. II ⋮ Supercongruences for the Catalan-Larcombe-French numbers ⋮ On Atkin and Swinnerton-Dyer congruence relations. III ⋮ Galois representations with quaternion multiplication associated to noncongruence modular forms

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