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Izvestiya: Mathematics, 2014, Volume 78, Issue 1, Pages 201–211
DOI: https://doi.org/10.1070/IM2014v078n01ABEH002685 (Mi im7989) 		 
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
English version PDF (228 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2014v078n01ABEH002685
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 1, Pages 215–224
DOI: https://doi.org/10.4213/im7989
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: Primary 11N37; Secondary 11P32
Language: English
Original paper language: Russian
Citation: K. M. Eminyan, “The Goldbach problem with primes having binary expansions of a special form”, Izv. RAN. Ser. Mat., 78:1 (2014), 215–224; Izv. Math., 78:1 (2014), 201–211
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2014v078n01ABEH002685
  • https://www.mathnet.ru/eng/im/v78/i1/p215
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:620
    Russian version PDF:184
    English version PDF:12
    References:88
    First page:55
     
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