On a character sum problem of Cohn
2002 (English)In: Journal of Number Theory, ISSN 0022-314X, E-ISSN 1096-1658, Vol. 92, no 1, 174-181 p.Article in journal (Refereed) Published
Let f be a complex-valued function on a Finite field F such that f(0) = 0, f(1) = 1, and \f(x)\ = 1 for x not equal 0. H. Cohn asked if it follows that f is a nontrivial multiplicative character provided that Sigma(xis an element ofF) f(x) f(x+h) = -1 for h not equal 0. We prove that this is the case for finite Fields of prime cardinality under the assumption that the nonzero values of f are roots of unity.
Place, publisher, year, edition, pages
2002. Vol. 92, no 1, 174-181 p.
IdentifiersURN: urn:nbn:se:kth:diva-21308ISI: 000173763900010OAI: oai:DiVA.org:kth-21308DiVA: diva2:340006
QC 201005252010-08-102010-08-10Bibliographically approved