On a character sum problem of H. Cohn
| dc.creator | Kurlberg, Par | |
| dc.date | 2001-01-29 | |
| dc.date.accessioned | 2026-07-07T04:39:52Z | |
| dc.date.available | 2026-07-07T04:39:52Z | |
| dc.description | 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 $x \neq 0$. Cohn asked if it follows that $f$ is a nontrivial multiplicative character provided that $\sum_{x \in F} f(x) \bar{f(x+h)} = -1$ for $h \neq 0$. 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. | |
| dc.identifier | https://arxiv.org/abs/math/0101242 | |
| dc.identifier | http://arxiv.org/abs/math/0101242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60846 | |
| dc.subject | Number Theory | |
| dc.subject | 11T23 | |
| dc.title | On a character sum problem of H. Cohn | |
| dc.type | text |