Pisot and Salem numbers

Includes bibliographical references (p. 289-291)

1 Rational series
2 Compact families of rational functions
3 Meromorphic functions on D(0,1), generalized Schur algorithm
4 Generalities concerning distribution modulo 1 of real sequences
5 Pisot numbers, Salem numbers, and distribution modulo 1
6 Limit points of Pisot and Salem sets
7 Small Pisot numbers
8 Some properties and applications of Pisot numbers
9 Algebraic number sets
10 Rational functions over rings of adeles
11 Generalizations of Pisot and Salem numbers to adeles
12 Pisot elements in a field of formal power series
13 Pisot sequences, Boyd sequences and linear recurrence
14 Generalizations of Pisot and Boyd sequences
15 The Salem-Zygmund theorem

The attention of The publication of Charles Pisot's thesis in 1938 brought to the mathematical community those marvelous numbers now known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers). Although these numbers had been discovered earlier by A. Thue and then by G. H. Hardy, it was Pisot's result in that paper of 1938 that provided the link to harmonic analysis, as discovered by Raphael Salem and described in a series of papers in the 1940s. In one of these papers, Salem introduced the related class of numbers, now universally known as the Salem numbers.