Abstract
We find new conditions on a polynomial over a finite field that guarantee that the exponential sum defined by the polynomial has only one nonvanishing p -adic cohomology group, hence the L-function associated to the exponential sum is a polynomial or the reciprocal of a polynomial.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 747-764 |
| Number of pages | 18 |
| Journal | International Journal of Number Theory |
| Volume | 5 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2009 |
Keywords
- Exponential sum
- L-function
- p-adic cohomology