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Matematicheskie Zametki, 2003, Volume 74, Issue 4, Pages 564–572
DOI: https://doi.org/10.4213/mzm291 (Mi mzm291) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Estermann's Ternary Problem with Almost Equal Summands

Z. Kh. Rakhmonov

Institute of Mathematics, Academy of Sciences of Republic of Tajikistan
Full-text PDF (204 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm291
Abstract: We prove an asymptotic formula for the number of representations of a sufficiently large positive integer N as the sum of two primes and the square of a natural number when they are almost equal.
Received: 18.09.2001
Revised: 24.06.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 4, Pages 534–542
DOI: https://doi.org/10.1023/A:1026199928464
Bibliographic databases:
UDC: 511
Language: Russian
Citation: Z. Kh. Rakhmonov, “Estermann's Ternary Problem with Almost Equal Summands”, Mat. Zametki, 74:4 (2003), 564–572; Math. Notes, 74:4 (2003), 534–542
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm291
  • https://doi.org/10.4213/mzm291
  • https://www.mathnet.ru/eng/mzm/v74/i4/p564
    • This publication is cited in the following 6 articles:
    1. Z. Kh. Rakhmonov, F. Z. Rakhmonov, “Asimptoticheskaya formula v probleme Varinga s pochti proportsionalnymi slagaemymi”, Chebyshevskii sb., 25:2 (2024), 139–168  mathnet  crossref
    2. Z. Kh. Rakhmonov, “Obobschenie problemy Varinga dlya devyati pochti proportsionalnykh kubov”, Chebyshevskii sb., 24:3 (2023), 71–94  mathnet  crossref
    3. Z. Kh. Rakhmonov, I. Allakov, B. Kh. Abraev, “Obobschenie ternarnoi problemy Goldbakha s pochti ravnymi slagaemymi”, Chebyshevskii sb., 24:4 (2023), 264–298  mathnet  crossref
    4. P. Z. Rakhmonov, “The Generalized Estermann Ternary Problem for Noninteger Powers with Almost Equal Summands”, Math. Notes, 100:3 (2016), 438–447  mathnet  crossref  crossref  mathscinet  isi  elib
    5. P. Z. Rakhmonov, “Obobschennaya ternarnaya problema Estermana dlya netselykh stepenei s pochti ravnymi slagaemymi”, Chebyshevskii sb., 16:1 (2015), 248–253  mathnet  elib
    6. Z. Kh. Rakhmonov, “The Estermann Cubic Problem with Almost Equal Summands”, Math. Notes, 95:3 (2014), 407–417  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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