Open AccessA note on odd unimodular Euclidean lattices
Author(s) -
Hiroshi Nozaki
Publication year - 2006
Publication title -
archiv der mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 43
eISSN - 1420-8938
pISSN - 0003-889X
DOI - 10.1007/s00013-005-1518-4
Subject(s) - unimodular matrix , mathematics , modulo , euclidean geometry , combinatorics , prime (order theory) , lattice (music) , pure mathematics , discrete mathematics , geometry , physics , acoustics
. We prove that the theta series of any odd unimodular Euclidean lattice is not congruent to 1 modulo any odd prime p.
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