Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593519 | Journal of Number Theory | 2015 | 18 Pages |
Abstract
We consider the issue of when the L-polynomial of one curve over FqFq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number of points over infinitely many extensions of a certain type, and one other assumption. We also present an application to a family of curves arising from a conjecture about exponential sums. We make our own conjecture about L-polynomials, and prove that this is equivalent to the exponential sums conjecture.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Omran Ahmadi, Gary McGuire, Antonio Rojas-León,