On the modular forms of weight 1/2 over algebraic number fields

DOI10.1016/j.jnt.2021.04.009zbMath1484.11115OpenAlexW3168373061WikidataQ114157007 ScholiaQ114157007MaRDI QIDQ1981604

Hisashi Kojima, Hiroshi Sakata

Publication date: 6 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.04.009

zbMATH Keywords

\(L\)-functionsautomorphic formstheta seriesforms of half-integer weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• On the Fourier coefficients of Hilbert modular forms of half-integral weight over arbitrary algebraic number fields
• On Hilbert modular forms of half-integral weight
• Distinguished representations and modular forms of half-integral weight
• On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields
• Hilbert modular forms of weight 1/2 and theta functions
• On modular forms of half integral weight
• On the Transformation Formulas of Theta Series
• On the Fourier coefficients of Maass wave forms of half integral weight over an imaginary quadratic field
• Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields
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