No CrossRef data available.
Article contents
ON SOLUTIONS TO SOME POLYNOMIAL CONGRUENCES IN SMALL BOXES
Published online by Cambridge University Press: 07 August 2013
Abstract
We use bounds of mixed character sum to study the distribution of solutions to certain polynomial systems of congruences modulo a prime $p$. In particular, we obtain nontrivial results about the number of solutions in boxes with the side length below
${p}^{1/ 2} $, which seems to be the limit of more general methods based on the bounds of exponential sums along varieties.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:40934:20160414053126817-0021:S0004972713000671_inline3.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:50769:20160414053126817-0021:S0004972713000671_inline4.gif?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:49356:20160414053126817-0021:S0004972713000671_inline5.gif?pub-status=live)