WARING’S PROBLEM WITH PIATETSKI-SHAPIRO NUMBERS

WARING’S PROBLEM WITH PIATETSKI-SHAPIRO NUMBERS

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.

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Bibliographische Detailangaben
Veröffentlicht in:Mathematika 2016, Vol.62 (2), p.524-550
Hauptverfasser: Akbal, Yıldırım, Güloğlu, Ahmet M.
Format: Artikel
Sprache:eng
Schlagworte:
11B83 (secondary)
11L07
11L15
11P05 (primary)
11P55
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
ISSN:0025-5793
2041-7942
DOI:10.1112/S0025579315000340