Change search
ReferencesLink to record
Permanent link

Direct link
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
Abstract [en]

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.
URN: urn:nbn:se:kth:diva-21308ISI: 000173763900010OAI: diva2:340006
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Kurlberg, Pär
In the same journal
Journal of Number Theory

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 14 hits
ReferencesLink to record
Permanent link

Direct link