Authors
Citation
A. Biro, On polynomials over prime fields taking only two values on the multiplicative group, FINITE F T, 6(4), 2000, pp. 302-308
Citations number
6
Categorie Soggetti
Mathematics
Journal title
FINITE FIELDS AND THEIR APPLICATIONS
ISSN journal
10715797
→ ACNP
Volume
6
Issue
4
Year of publication
2000
Pages
302 - 308
Database
ISI
SICI code
1071-5797(200010)6:4<302:OPOPFT>2.0.ZU;2-W
Abstract
Let p > 2 be a prime, denote by F-p the field with \F-p\ = p, and let F-p*
= F-p\{0}. We prove that if f is an element of F-p[x] and f takes only two
values on F-p*, then (excluding some exceptional cases) the degree of f is
at least 3/4(p - 1). (C) 2000 Academic Press.