Random diophantine equations of additive type

Details Random diophantine equations of additive type Random diophantine equations of additive type

2010-04-30

arxiv.org/abs/1004.5527v1

Mathematics

Number Theory

20 pages

Scientific paper

Using the circle method in combination with lattice point counting arguments, we show that for almost all homogeneous diophantine equations of additive type and degree $k$ in more than $4k$ variables, the Local-Global principle holds true. Moreover, our approach shows that almost all such equations having a non-trivial integer solution have a very small such solution, the bound being close to the best possible one.

Affiliated with

Also associated with

No associations

Rating

Random diophantine equations of additive type 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 Random diophantine equations of additive type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random diophantine equations of additive type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388289