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This article is cited in 4 scientific papers (total in 4 papers)
The Goldbach problem with primes having binary expansions of a special form
K. M. Eminyanab a N. E. Bauman Moscow State Technical University
b Financial University under the Government of the Russian Federation, Moscow
Abstract:
We obtain an asymptotic formula for the number of representations of an odd
number $N$ by a sum of three primes in $\mathbb{N}_{0}$, where
$\mathbb{N}_{0}$ stands for the set of positive integers whose binary
expansions have evenly many 1's.
Keywords:
ternary Goldbach problem, Gel'fond problem, large sieve, trigonometric sums.
Received: 10.04.2012
Citation:
K. M. Eminyan, “The Goldbach problem with primes having binary expansions of a special form”, Izv. Math., 78:1 (2014), 201–211
Linking options:
https://www.mathnet.ru/eng/im7989https://doi.org/10.1070/IM2014v078n01ABEH002685 https://www.mathnet.ru/eng/im/v78/i1/p215
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Abstract page: | 632 | Russian version PDF: | 187 | English version PDF: | 16 | References: | 92 | First page: | 55 |
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