Hecke structure of spaces of half-integral weight cusp forms

DOI10.1017/S002776300000742XzbMath1018.11022OpenAlexW1565733903MaRDI QIDQ4519046

Sharon Frechette

Publication date: 1 July 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300000742x

zbMATH Keywords

modular forms of half integral weighttraces of Hecke operatorsHecke structureimage of the Shimura lifting

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Modular correspondences, etc. (11F32)

Related Items

Modular forms of half-integral weights on SL(2, ℤ)

Cites Work

• Twists of newforms
• Supplement to: The decomposition of the spaces of cusp forms of half- integral weight and trace formula of Hecke operators
• The decomposition of the spaces of cusp forms of half-integral weight and trace formula of Hecke operators
• Automorphic forms on covering groups of GL(2)
• Newforms and functional equations
• Hecke operators on \(\Gamma_0(m)\)
• On modular forms of half integral weight
• On the traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• Trace formula of certain Hecke operators for Γ₀(q^ν)
• On twisting operators and newforms of half-integral weight II – Complete theory of newforms for Kohnen space
• On construction of holomorphic cusp forms of half integral weight