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Canadian Number Theory Association VIII Meeting
June 20-25, 2004
The Fields Institute
Toronto, ON, Canada |
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Organizers
John Friedlander (Toronto) and Cam Stewart (Waterloo)
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Quadratic Equations With Five Prime Unknowns
by
Stephen Choi
Simon Fraser University
Coauthors: Angel Kumchev
In this talk, we will consider the following quadratic diophantine equation
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b1p12+ ... +b5p52 = n, pj is prime |
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and discuss our recent result of the small prime solutions of the
equation, namely, if b1, ... , b5 are not of the same sign,
then the equation has prime solution pj satisfying
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pj << |
Ö
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|n|
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+ |
max
| { |bj| }8+\epsilon. |
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This improves the previous result with the exponent 12 in place
of 8 above.
Date received: April 26, 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-66.