Abstract
Estimates are provided for small moments of exponential sums over smooth numbers substantially sharper than available hitherto. These bounds arise from the author's recent breaking of "classical convexity" in Waring's problem. The methods underlying these new estimates provide guidance on good choices of parameters in the new iterative methods for smaller exponents. 1991 Mathematics Subject Classification: 11L15, 11L07, 11P55.
| Original language | English |
|---|---|
| Pages (from-to) | 161-170 |
| Number of pages | 10 |
| Journal | Monatshefte für Mathematik |
| Volume | 130 |
| Issue number | 2 |
| Publication status | Published - 2000 |
Keywords
- exponential sums
- mean value estimates
- smooth Weyl sums
- ITERATIVE METHOD
- WARINGS PROBLEM
- POWERS
- CUBES