Coefficients of half-integral weight modular forms and indivisibility of class numbers of imaginary quadratic fields

DOI10.1142/S1793042116500354zbMath1396.11069OpenAlexW1646878742WikidataQ114072022 ScholiaQ114072022MaRDI QIDQ2789384

Haobo Dai

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042116500354

zbMATH Keywords

indivisibilityhalf-integral weight modular formsclass number of imaginary quadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Class numbers, class groups, discriminants (11R29)

Cites Work

• Odd coefficients of weakly holomorphic modular forms
• Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
• Unnamed Item

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