## 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-p23sum\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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