On multiplier systems and theta functions of half-integral weight for the Hilbert modular group \(\operatorname{SL}_2(\mathfrak{o})\)

DOI10.1016/j.jnt.2022.09.005OpenAlexW4306743889MaRDI QIDQ2109408

Yanyan Li

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2102.10723

zbMATH Keywords

theta functionsWeil representationmetaplectic groupsmultiplier systemsHilbert modular forms of half-integral weightgenuine characters

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

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