Theta function transformation formulas and the Weil representation

DOI10.1016/0022-314X(85)90032-0zbMath0566.10020MaRDI QIDQ1059102

Solomon Friedberg

Publication date: 1985

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

zbMATH Keywords

Weil representationSiegel theta functionsexplicit determination of eigth root of unityinvariance of theta functionalmetaplectic cover of Sp(2,\({\mathbb{R}})\)

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items (3)

Modular Lagrangians and the theta multiplier ⋮ Analytic representations with theta functions for systems on ℤ(d) and on 𝕊 ⋮ On theta functions associated to indefinite quadratic forms

Cites Work

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• On theta functions associated to indefinite quadratic forms
• On Rossmann's character formula for discrete series
• Sur certains groupes d'opérateurs unitaires
• Prime Determinant Matrices and the Sympletic Theta Function
• On construction of holomorphic cusp forms of half integral weight

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