Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  016.20103
Autor:  Erdös, Paul
Title:  On the sum and difference of squares of primes. (In English)
Source:  J. London Math. Soc. 12, 133-136 (1937).
Review:  The author proves that, for suitable m, the equation m = p2-q2 (p,q primes) has more than \exp({c log m \over log log m}) solutions, and that, for suitable n, n = p2+q2 (p,q prime) has more than \exp({c log n\over (log log n)2}) solutions. The proof is similar to that of the author's theorem as to representations by the sum of k k-th powers [J. London Math. Soc. 11, 133-136 (1936; Zbl 013.39003)].
Reviewer:  Wright (Aberdeen)
Classif.:  * 11P32 Additive questions involving primes
Index Words:  Number theory
Citations:  Zbl 013.39003

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