Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 021.10602
Autor: Erdös, Pál
Title: On the easier Waring problem for powers of primes. II. (In English)
Source: Proc. Camb. Philos. Soc. 35, 149-165 (1939).
Review: The author proves that the density of each of the sets of integers p21+p22-p23, sum\nu = 14 p\nu3 - sum\mu = 14 q\mu3, sum\nu = 12l \epsilon\nu pl\nu (\epsilon\nu = ± 1) is positive, where the p and the q are primes. It follows that a constant cl exists such that every integer is the sum of at most cl positive and negative l-th powers of primes. (I. see Zbl 016.10202)
Reviewer: Wright (Aberdeen)
Classif.: * 11P32 Additive questions involving primes
Index Words: Number theory
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