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A note on the Hermite-Rankin constant

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Publication:614486
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DOI10.5802/jtnb.712zbMath1257.11068OpenAlexW2333414470MaRDI QIDQ614486

Kenji Okuda, Takao Watanabe, Kazuomi Sawatani

Publication date: 3 January 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116397


zbMATH Keywords

generalized Bergé-Martinet constantsHermite-Rankin constant


Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)


Related Items

Bounding basis reduction properties ⋮ Sharper bounds on four lattice constants ⋮ A sharper lower bound on Rankin's constant ⋮ On unique recovery of finite-valued integer signals and admissible lattices of sparse hypercubes ⋮ Anne-Marie Bergé -- in memoriam (1939--2008)



Cites Work

  • Unnamed Item
  • Sur un problème de dualité lié aux sphères en géométrie des nombres. (On a duality problem related to spheres in geometry of numbers)
  • Linear dependence among Siegel modular forms
  • The extreme core
  • THE BERGÉ–MARTINET CONSTANT AND SLOPES OF SIEGEL CUSP FORMS
  • Réseaux k -Extrêmes
  • On the Inner Product of Positive Quadratic Forms
  • On Positive Definite Quadratic Forms
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