On the question of final \(\zeta\)-optimality of lattices providing the closest lattice packing of \(n\)-dimensional spheres

DOI10.1007/BF00969911zbMath0282.10020OpenAlexW2022220790MaRDI QIDQ1843456

S. S. Ryshkov

Publication date: 1974

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969911

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Hurwitz and Lerch zeta functions (11M35) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50)

Related Items (5)

The height of the Leech lattice ⋮ Coulomb and Riesz gases: The known and the unknown ⋮ Saturating unitarity bounds at U-duality symmetric points ⋮ On the value distribution and moments of the Epstein zeta function to the right of the critical strip ⋮ Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas

Cites Work

• The minimum values of positive quadratic forms in six, seven and eight variables
• Extremal problems in the theory of positive quadratic forms
• The complete enumeration of extreme senary forms
• On a problem of Rankin about the Epstein zeta-function
• A Minimum Problem for the Epstein Zeta-Function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the question of final \(\zeta\)-optimality of lattices providing the closest lattice packing of \(n\)-dimensional spheres