On the theta-multiplier system

DOI10.1007/BF03323100zbMath0764.11024OpenAlexW2052100151MaRDI QIDQ1196063

Klaus Barner

Publication date: 12 January 1993

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323100

zbMATH Keywords

continued fraction algorithmelliptic modular groupTheta-Nullwerte

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) 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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• A simple proof of the transformation formula for \(\log \eta(z)\)
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• Hilbert modular surfaces
• Analytic Properties of Arithmetic Sums Arising in the Theory of the Classical Theta-Functions
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• Class numbers of indefinite binary quadratic forms

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