Survey article: Seventy years of Salem numbers

Abstract

I survey results about, and recent applications of, Salem numbers.

25 pages, 1 figure. v3 is expanded and corrected version of v2, thanks to additional reader feedback. Also slightly amended title

References in corpus (3)

• A very short proof of Cauchy's interlace theorem for eigenvalues of Hermitian matrices
• Integer symmetric matrices having all their eigenvalues in the interval [-2,2]
• Salem numbers from a class of star-like trees

Cited by in corpus (4)

• Polynomials with symmetric zeros
• Cyclotomic Points and Algebraic Properties of Polygon Diagonals
• Multiplicities in the length spectrum and growth rate of Salem numbers
• Isometries of lattices and automorphisms of K3 surfaces