Sums of the Form 1/x_1^k + ... + 1/x_n^k Modulo a Prime
| dc.creator | Croot, Ernie | |
| dc.date | 2004-03-22 | |
| dc.date | 2004-10-21 | |
| dc.date.accessioned | 2026-07-07T05:06:37Z | |
| dc.date.available | 2026-07-07T05:06:37Z | |
| dc.description | We show that for every $0 < ε\leq 1$ and integer $k\geq 1$, there exists an integer $n = n(ε,k)$ so that for all primes $p$, and integers $0 \leq a \leq p-1$, there exist integers $1 \leq x_1 < ... < x_n \leq p^ε$ such that $a \equiv x_1^{-1} + ... + x_n^{-1} \pmod{p}$. This extends a result of I. Shparlinski. | |
| dc.description | Light Corrections. The parameter h in the definition of T had to be a lot larger | |
| dc.identifier | https://arxiv.org/abs/math/0403360 | |
| dc.identifier | http://arxiv.org/abs/math/0403360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70540 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11P99 | |
| dc.title | Sums of the Form 1/x_1^k + ... + 1/x_n^k Modulo a Prime | |
| dc.type | text |