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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

On integral lattices having an odd minimum


Authors: J. Martinet and B. Venkov
Original publication: Algebra i Analiz, tom 16 (2004), nomer 3.
Journal: St. Petersburg Math. J. 16 (2005), 507-539
MSC (2000): Primary 11H06, 11H50
Published electronically: May 2, 2005
MathSciNet review: 2083567
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Abstract: The kissing number of integral lattices of odd minimum is studied, with special emphasis on the case of minimum $3$.


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Additional Information

J. Martinet
Affiliation: Institut de Mathématique, Université Bordeaux-1, Cours de la Libération 351, Talence Cedex 33405, France
Email: martinet@math.u-bordeaux.fr

B. Venkov
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
Email: bvenkov@pdmi.ras.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-05-00863-0
PII: S 1061-0022(05)00863-0
Keywords: Euclidean lattices, kissing number
Received by editor(s): June 9, 2003
Published electronically: May 2, 2005
Additional Notes: The first author is a member of the Laboratoire A2X (UMR 5465 and FR 2254).
The second author acknowledges support of the Swiss National Science Foundation.
Article copyright: © Copyright 2005 American Mathematical Society