Article contents
DAVENPORT’S METHOD AND SLIM EXCEPTIONAL SETS: THE ASYMPTOTIC FORMULAE IN WARING’S PROBLEM
Published online by Cambridge University Press: 13 July 2010
Abstract
We apply a method of Davenport to improve several estimates for slim exceptional sets associated with the asymptotic formula in Waring’s problem. In particular, we show that the anticipated asymptotic formula in Waring’s problem for sums of seven cubes holds for all but O(N1/3+ε) of the natural numbers not exceeding N.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © University College London 2010
References
- 3
- Cited by