ON EPSTEIN'S ZETA FUNCTION OF HUMBERT FORMS

DOI10.1142/S1793042108001407zbMath1163.11052MaRDI QIDQ3602984

Renaud Coulangeon

Publication date: 12 February 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

local minimumquadratic formzeta functionEpstein's zeta functionHumbert form

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Lattices and convex bodies (number-theoretic aspects) (11H06) Other Dirichlet series and zeta functions (11M41) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

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Cites Work

• Even unimodular 12-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{5})\)
• Hermite's Constant for Quadratic Number Fields
• On a problem of Rankin about the Epstein zeta-function
• Hermite Constant and Extreme Forms for Algebraic Number Fields
• A lemma about the Epstein zeta-function
• Notes on two lemmas concerning the Epstein zeta-function
• A Minimum Problem for the Epstein Zeta-Function

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