Abstract:
We obtain an asymptotic formula for the number of representations of an odd
number NN by a sum of three primes in N0, where
N0 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.
\Bibitem{Emi14}
\by K.~M.~Eminyan
\paper The Goldbach problem with primes having binary expansions of a~special form
\jour Izv. Math.
\yr 2014
\vol 78
\issue 1
\pages 201--211
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\crossref{https://doi.org/10.1070/IM2014v078n01ABEH002685}
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Linking options:
https://www.mathnet.ru/eng/im7989
https://doi.org/10.1070/IM2014v078n01ABEH002685
https://www.mathnet.ru/eng/im/v78/i1/p215
This publication is cited in the following 4 articles:
K. M. Eminyan, “Hua Loo-Keng's problem for primes of a special form”, Sb. Math., 212:4 (2021), 592–603
K. M. Eminyan, “A Nonlinear Additive Problem with Prime Numbers of a Special Form”, Math. Notes, 105:3 (2019), 458–463
K. M. Eminyan, “Obobschennaya problema delitelei s naturalnymi chislami, imeyuschimi dvoichnye razlozheniya spetsialnogo vida”, Chebyshevskii sb., 17:1 (2016), 270–283
K. M. Eminyan, “Asymptotic Law of Distribution of Primes of Special Form”, Math. Notes, 100:4 (2016), 625–628
Citation in format AMSBIB
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