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This article is cited in 1 scientific paper (total in 1 paper)
On the exceptional set for the sum of a prime and a perfect square
I. V. Polyakov
Abstract:
A new theorem is obtained on the mean value of the number of representations of natural numbers $n$ as the sum of a prime and a perfect square, from which it is deduced that there are at most $Ne^{-a\sqrt{\log N}}$, $a>0$, natural numbers $n\leqslant N$ not representable as such a sum.
Bibliography: 17 titles.
Received: 28.05.1981
Citation:
I. V. Polyakov, “On the exceptional set for the sum of a prime and a perfect square”, Math. USSR-Izv., 19:3 (1982), 611–641
Linking options:
https://www.mathnet.ru/eng/im1717https://doi.org/10.1070/IM1982v019n03ABEH001429 https://www.mathnet.ru/eng/im/v45/i6/p1391
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