Atlas Mathematical Conference Abstracts ||
Conferences |
Abstracts |
for Organizers |
About AMCA
Canadian Number Theory Association VIII Meeting
June 20-25, 2004
The Fields Institute
Toronto, ON, Canada |
|
Organizers
John Friedlander (Toronto) and Cam Stewart (Waterloo)
View Abstracts
Conference Homepage |
Reciprocal Power Sums Modulo a Prime
by
Ernie Croot
Georgia Institute of Technology
Using a result of Bourgain, Katz, and Tao we show that for every
c > 0, and for every integer k > 0, there exists an integer n
such that the following holds for all sufficiently large primes p:
Given r mod p, there exist n integers
such that
|
r = = |
1
x1k
|
+ ... + |
1
xnk
|
mod p. |
|
Date received: April 28, 2004
Copyright © 2004 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Mathematical Conference Abstracts.
Document # calz-79.