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December 2019 48 dimensional even unimodular nearly extremal lattices.
Michio Ozeki
Tsukuba J. Math. 43(2): 145-189 (December 2019). DOI: 10.21099/tkbjm/1585706450

Abstract

In this paper we introduce the notion of an even unimodular nearly extremal lattice in the case of 48 dimension. We prove two basic properties of such lattices $L$. First we prove that any nearly extremal lattice $L$ is generated by the vectors of norm 4 and norm 6 in $L$. Next we prove that the Siegel theta series of degree 2 associated with an even unimodular nearly extremal lattice is determined by the Fourier coefficients which are connected with the vectors of norm 4.

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Michio Ozeki. "48 dimensional even unimodular nearly extremal lattices.." Tsukuba J. Math. 43 (2) 145 - 189, December 2019. https://doi.org/10.21099/tkbjm/1585706450

Information

Published: December 2019
First available in Project Euclid: 1 April 2020

zbMATH: 07199326
MathSciNet: MR4080790
Digital Object Identifier: 10.21099/tkbjm/1585706450

Subjects:
Primary: 11E12
Secondary: 11F11, 11F46

Rights: Copyright © 2019 University of Tsukuba, Institute of Mathematics

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Vol.43 • No. 2 • December 2019
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