Waring's problem with Piatetski-Shapiro numbers
Mathematika, vol.62, no.2, pp.524-550, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 62 Issue: 2
- Publication Date: 2016
- Doi Number: 10.1112/s0025579315000340
- Journal Name: Mathematika
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.524-550
- Open Archive Collection: AVESIS Open Access Collection
- TED University Affiliated: Yes
Abstract
In this paper, we investigate in various ways the representation of a large natural number as a sum of a fixed power of Piatetski-Shapiro numbers, thereby establishing a variant of the Hilbert-Waring problem with numbers from a sparse sequence.