A minimum for the theta-function in three variables and the solution of the Rankin-Sobolev problem in a three-dimensional space

DOI10.1007/BF02434855zbMath0871.11029MaRDI QIDQ1925320

E. V. Orlovskaya

Publication date: 1 September 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68424

zbMATH Keywords

theta-functionEpstein zeta-functionRankin-Sobolev problemMontgomery problem

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27)

Related Items (1)

Dimension reduction techniques for the minimization of theta functions on lattices

Cites Work

• Minimum of the theta-function of three variables and solution of the Rankin-Sobolev problem in a three-dimensional space
• On a problem of Rankin about the Epstein zeta-function
• Minimal theta functions
• 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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