Abstract / Description of output
We extend work of Denef and Sperber and also Cluckers regarding a conjecture of Igusa in the two dimensional setting by no longer requiring the
polynomial to be nondegenerate with respect to its Newton diagram. More precisely we establish sharp, uniform bounds for complete exponential sums and the number of polynomial congruences for general quasi-homogeneous polynomials in two variables.
polynomial to be nondegenerate with respect to its Newton diagram. More precisely we establish sharp, uniform bounds for complete exponential sums and the number of polynomial congruences for general quasi-homogeneous polynomials in two variables.
| Original language | English |
|---|---|
| Pages (from-to) | 1193-1238 |
| Journal | American Journal of Mathematics |
| Volume | 142 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 31 Aug 2020 |
Keywords / Materials (for Non-textual outputs)
- math.CA
- 11A07, 11L07, 11L40, 42B20
