W
W. A. Coppel
Publications - 13
Citations - 1279
W. A. Coppel is an academic researcher. The author has contributed to research in topics: Number theory & Ergodic theory. The author has an hindex of 3, co-authored 13 publications receiving 1194 citations.
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Book
Dichotomies in Stability Theory
TL;DR: In this paper, the authors define the following criteria for exponential and ordinary dichotomies: stability, roughness, reducibility, robustness, and robustness of an exponential dichotomy.
Book ChapterDOI
The Arithmetic of Quadratic Forms
TL;DR: In the 20th century, Hasse and Siegel as mentioned in this paper showed that the theory is more perspicuous if one allows the variables to be rational numbers, rather than integers, which opened the way to the study of quadratic forms over arbitrary fields.
Book
Number Theory: An Introduction to Mathematics
TL;DR: The expanding universe of numbers has been studied extensively in the literature, see as mentioned in this paper for a character study and a discussion of the relationship between number theory and the geometry of numbers, including the number of prime numbers.
Book ChapterDOI
Hadamard’s Determinant Problem
TL;DR: Hadamard as discussed by the authors showed that for any positive integer n there exist complex n × n matrices for which this upper bound is attained, where ω is a primitive n-th root of unity.
Book ChapterDOI
The Number of Prime Numbers
TL;DR: In this article, it was shown that there are infinitely many prime divisors in a finite set of primes and that each divisor p of n is distinct from p, \ldots, p_n. The proof is a model of simplicity: let n = p.