Shimura lifting of modular forms of weight \(3/2\)

DOI10.1007/S11139-014-9616-1zbMath1408.11035OpenAlexW2281614390MaRDI QIDQ5963795

Shigeaki Tsuyumine

Publication date: 23 February 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9616-1

zbMATH Keywords

quadratic formsmodular formsHilbert modular formshalf integral weightShimura lift

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Forms of half-integer weight; nonholomorphic modular forms (11F37) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (1)

On Shimura lifting of Hilbert modular forms

Cites Work

• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• Darstellungsmaße indefiniter quadratischer Formen
• A basis of Eisenstein series of half-integral weight
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• Ramanujan's ternary quadratic form
• A generalization of Cohen-Eisenstein series and Shimura liftings and some congruences between cusp forms and Eisenstein series
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• On modular forms of half integral weight
• Variations sur un thème de Siegel et Hecke
• Modular forms of half integral weight and the integral of certain theta-functions
• Arithmetic of half integral weight theta-series
• On values of L-functions of totally real algebraic number fields at integers
• On Shimura lifting of modular forms
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