Vanishing and non-vanishing theta values

DOI10.1007/s40316-013-0003-xzbMath1329.11031OpenAlexW2136764049MaRDI QIDQ743706

Don Zagier, Henri Cohen

Publication date: 30 September 2014

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-013-0003-x

zbMATH Keywords

Gauss sumquintuple product identityroot numbertheta value

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Gauss and Kloosterman sums; generalizations (11L05)

Related Items

Computational Number Theory in Relation with L-Functions, Galois action on special theta values, The second and fourth moments of theta functions at their central point, SHIFTED MOMENTS OF ‐FUNCTIONS AND MOMENTS OF THETA FUNCTIONS, Computing \(L\)-functions: a survey, Non-vanishing theta values of characters with special prime conductors, Small Gál sums and applications

Cites Work

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• Gauss sums over finite fields and roots of unity
• Sur le calcul numérique des constantes des équations fonctionnelles des fonctions L associées aux caractères impairs
• On Gauss Sums (mod pⁿ ), n ⩾ 2