Article contents
Sums of Powers in Arithmetic Progressions
Published online by Cambridge University Press: 20 November 2018
Extract
The papers [2] and [3] study the function g(k, n), defined for integers k > 1 and n > 1 as the smallest r with the property that every integer is a sum of r kth powers mod n. This note identifies g′(k), defined as the maximum over all n of g(k, n), with the function Γ(k) studied by Hardy and Littlewood [1] fifty years ago in connection with Waring's problem.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1978
References
- 1
- Cited by