The Conway-Sloane tetralattice pairs are non-isometric
Number Theory
2009-10-13 v1
Abstract
Conway and Sloane constructed a 4-parameter family of pairs of isospectral lattices of rank four. They conjectured that all pairs in their family are non-isometric, whenever the parameters are pairwise different, and verified this for classical integral lattices of determinant up to . In this paper, we use our theory of lattice invariants to prove this conjecture.
Keywords
Cite
@article{arxiv.0910.2127,
title = {The Conway-Sloane tetralattice pairs are non-isometric},
author = {Juan Marcos Cervino and Georg Hein},
journal= {arXiv preprint arXiv:0910.2127},
year = {2009}
}
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10 pages