Citation
Kk. Choi et Mk. Siu, Counter-examples to a problem of Cohn on classifying characters, J NUMBER TH, 84(1), 2000, pp. 40-48
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X
→ ACNP
Volume
84
Issue
1
Year of publication
2000
Pages
40 - 48
Database
ISI
SICI code
0022-314X(200009)84:1<40:CTAPOC>2.0.ZU;2-M
Abstract
Let p be a prime and F be a finite field with q = p(s) elements. It is well
-known that for any nontrivial multiplicative character f of F.
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H. Cohn asked whether the converse is true. For the case p is odd and s = 1
, A. Biro gives a partral positive answer to Cohn's problem. In this note,
we give a negative answer to Cohn's problem when q>4 and s<1. (C) 2000 Acad
emic Press.