On generalized gauss-hecke sums and theta constants

DOI10.1080/10652469508819063zbMath0840.11045OpenAlexW1974528559MaRDI QIDQ4853939

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Publication date: 1 July 1996

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469508819063

zbMATH Keywords

quadratic reciprocity\(m\)th-power residue symbolHecke \(\vartheta\)-functionshigher Gauss-Hecke sums

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Gauss and Kloosterman sums; generalizations (11L05) Class field theory (11R37) Weyl sums (11L15)

Cites Work

• Unnamed Item
• Metaplectic forms
• On a generalization of Hecke \(\vartheta\)-functions and the analytic proof of higher reciprocity laws
• 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
• Partial Sums of Infinite Series, and How They Grow

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