Bateman, Paul T.; Stemmler, Rosemarie M. Waring’s problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\). (English) Zbl 0107.03903 Ill. J. Math. 6, 142-156 (1962). Reviewer: J. P. Tull Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents MSC: 11P05 Waring’s problem and variants 11R99 Algebraic number theory: global fields Keywords:Waring problem; algebraic number fields PDF BibTeX XML Cite \textit{P. T. Bateman} and \textit{R. M. Stemmler}, Ill. J. Math. 6, 142--156 (1962; Zbl 0107.03903) Online Encyclopedia of Integer Sequences: Primes of form (p^x - 1)/(p^y - 1), p prime. Primes of the form (p^x - 1)/(p^y - 1), where p is prime, y > 1, and y is the largest proper divisor of x.