✦ LIBER ✦

CORRIGENDUM: Volume 73, Number 2 (1998), in the article “Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields,” by Stephen A. DiPippo and Everett W. Howe, pages 426–450

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 27 KB
Volume: 83
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2565

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✦ Synopsis

The expression q n(n&1)Â4 should be replaced with the expression q (n+2)(n&1)Â4 in the first displayed equation in the statement of Theorem 1.2 (page 427), as well as in the first displayed equation in the statement of Proposition 3.2.1 (page 445) and in the displayed equation at the bottom of page 445.

The authors are very grateful to Joshua Holden for bringing these errors to their attention.

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Real Polynomials with All Roots on the U

Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields

✍ Stephen A. DiPippo; Everett W. Howe 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 376 KB

In this paper we prove several theorems about abelian varieties over finite fields by studying the set of monic real polynomials of degree 2n all of whose roots lie on the unit circle. In particular, we consider a set V n of vectors in R n that give the coefficients of such polynomials. We calculate