On a family of tridiagonal matrices

Details On a family of tridiagonal matrices On a family of tridiagonal matrices

2008-09-08

arxiv.org/abs/0809.1411v1

Mathematics

Combinatorics

Scientific paper

We show that certain integral positive definite symmetric tridiagonal
matrices of determinant $n$ are in one to one correspondence with elements of
$(\mathbb Z/n\mathbb Z)^*$. We study some properties of this correspondence. In
a somewhat unrelated second part we discuss a construction which associates a
sequence of integral polytopes to every integral symmetric matrix.

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