Kronecker's limit formula and the height of Euclidean lattices

DOI10.1007/s00013-016-0875-5zbMath1400.11092OpenAlexW2252787985MaRDI QIDQ267044

Giovanni Lazzarini

Publication date: 7 April 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0875-5

zbMATH Keywords

heightquadratic formEpstein's zeta functionEuclidean latticeKronecker's limit formula

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) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Cites Work

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• Spherical designs and heights of Euclidean lattices
• Extremals of determinants of Laplacians
• Minima of Epstein's zeta function and heights of flat tori
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Lectures on quadratic forms. Reissued
• Spherical designs and zeta functions of lattices
• Height of flat tori
• Bessel Series Expansions of the Epstein Zeta Function and the Functional Equation
• Riemannian geometry

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