Behavior of theta-series under modular substitutions

DOI10.1007/S10114-011-8677-YzbMath1251.11029OpenAlexW2151058228MaRDI QIDQ644609

Bing Yong Xie

Publication date: 4 November 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8677-y

zbMATH Keywords

theta seriesnonholomorphic vector-valued modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

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• Thetareihen mit harmonischen Koeffizienten zur Siegelschen Modulgruppe
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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