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An application of Siegel's formula over quaternion orders

Published online by Cambridge University Press:  26 February 2010

H.-G. Quebbemann
H.-G. Quebbemann
Affiliation:
Mathematisches Institut der Universität, Einsteinstrasse 62, D-4400 Münster, West Germany.
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Extract

Let Φ : L → ℤ be a positive definite even unimodular quadratic form, L ≅ ℤn; we put f(x) = Φ(x)/2 and call (L, f) a lattice, for short. Let min f be the minimum of the numbers f(x) ≠ 0. Fixing n (a multiple of 8), one is interested in the largest possible minimum. It follows from the theory of modular forms (cf. Sloane [6]) that

Type
Research Article
Information
Mathematika , Volume 31 , Issue 1 , June 1984 , pp. 12 - 16
Copyright
Copyright © University College London 1984

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