Waring's problem with Piatetski-Shapiro numbers

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Akbal Y., Güloǧlu A. M.

Mathematika, cilt.62, sa.2, ss.524-550, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1112/s0025579315000340
  • Dergi Adı: Mathematika
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.524-550
  • TED Üniversitesi Adresli: Evet

Özet

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.