Diophantine methods for exponential sums, and exponential sums for Diophantine problems

Details Diophantine methods for exponential sums, and exponential sums for Diophantine problems Diophantine methods for exponential sums, and exponential sums for Diophantine problems

2003-04-16

arxiv.org/abs/math/0304237v1

Proceedings of the ICM, Beijing 2002, vol. 2, 207--220

Mathematics

Number Theory

Scientific paper

Recent developments in the theory and application of the Hardy-Littlewood method are discussed, concentrating on aspects associated with diagonal diophantine problems. Recent efficient differencing methods for estimating mean values of exponential sums are described first, concentrating on developments involving smooth Weyl sums. Next, arithmetic variants of classical inequalities of Bessel and Cauchy-Schwarz are discussed. Finally, some emerging connections between the circle method and arithmetic geometry are mentioned.

Affiliated with

Also associated with

No associations

Rating

Diophantine methods for exponential sums, and exponential sums for Diophantine problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diophantine methods for exponential sums, and exponential sums for Diophantine problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diophantine methods for exponential sums, and exponential sums for Diophantine problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10505