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A shadow identity and an application to isoduality.

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Publication:1969628
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DOI10.1007/BF02942571zbMath1046.11026MaRDI QIDQ1969628

Heinz-Georg Quebbemann

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)


zbMATH Keywords

theta transformationmaximal Hermite numbermodular lattices of level 4


Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Theta series; Weil representation; theta correspondences (11F27) Minima of forms (11H50)


Related Items

Modular lattices from a variation of construction A over number fields, The shadow theory of modular and unimodular lattices, Modular lattices over cyclotomic fields, Duadic \(\mathbb{Z}_4\)-codes



Cites Work

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  • A remark on the transformation formula of theta functions associated to positive definite quadratic forms
  • A note on optimal unimodular lattices
  • On lattices equivalent to their duals
  • Atkin-Lehner eigenforms and strongly modular lattices
  • On harmonic weight enumerators of binary codes
  • Modular lattices in Euclidean spaces
  • A characterization of the \(\mathbb Z^ n\) lattice
  • A new upper bound for the minimum of an integral lattice of determinant 1
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