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Doklady Akademii Nauk SSSR, 1979, Volume 248, Number 2, Pages 268–272 (Mi dan42980)  
This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICS

The index of convergence of the singular integral in Tarry's problem

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (450 kB) Citations (5)
Presented: I. M. Vinogradov
Received: 28.03.1979
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “The index of convergence of the singular integral in Tarry's problem”, Dokl. Akad. Nauk SSSR, 248:2 (1979), 268–272
Citation in format AMSBIB
\Bibitem{ArkKarChu79}
\by G.~I.~Arkhipov, A.~A.~Karatsuba, V.~N.~Chubarikov
\paper The index of convergence of the singular integral in Tarry's problem
\jour Dokl. Akad. Nauk SSSR
\yr 1979
\vol 248
\issue 2
\pages 268--272
\mathnet{http://mi.mathnet.ru/dan42980}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0553185}
\zmath{https://zbmath.org/?q=an:0432.10021}
Linking options:
  • https://www.mathnet.ru/eng/dan42980
  • https://www.mathnet.ru/eng/dan/v248/i2/p268
    • This publication is cited in the following 5 articles:
    1. M. A. Chahkiev, “Exact value of the exponent of convergence of the singular integral in Tarry's problem for homogeneous polynomials of degree n in two variables”, Izv. Math., 85:2 (2021), 332–340  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    2. I. Sh. Dzhabbarov, “O pokazatele skhodimosti osobogo integrala mnogomernoi problemy Terri”, Chebyshevskii sb., 14:2 (2013), 74–103  mathnet
    3. V. N. Chubarikov, “Mnogomernye problemy teorii prostykh chisel”, Chebyshevskii sb., 12:4 (2011), 174–263  mathnet  mathscinet
    4. M. A. Chahkiev, “Estimates for oscillatory integrals with convex phase”, Izv. Math., 70:1 (2006), 171–209  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    5. M. A. Chahkiev, “On the convergence exponent of the singular integral in the multi-dimensional analogue of Tarry's problem”, Izv. Math., 67:2 (2003), 405–418  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:2
     
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