Imprimitive Gaussian Sums and Theta Functions Over a Number Field

DOI10.2307/2154465zbMath0791.11039OpenAlexW4255707574MaRDI QIDQ4201547

Jacob Nemchenok

Publication date: 25 August 1993

Full work available at URL: https://doi.org/10.2307/2154465

zbMATH Keywords

theta functionHecke charactersreduction formulaHasse reductionimprimitive Gaussian sum

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (1)

The cubic Pell equation $L$-function

Cites Work

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• On the evaluation of Gaussian sums for non-primitive Dirichlet characters
• 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
• On Gauss Sums (mod pⁿ ), n ⩾ 2
• Allgemeine Theorie der Gaußschen Summen in endlichen kommutativen Ringen

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