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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 2, Pages 323–357
DOI: https://doi.org/10.1070/IM1986v027n02ABEH001180 (Mi im1376) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Estimates of multiple trigonometric sums with prime numbers

V. N. Chubarikov
English version PDF (1196 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/IM1986v027n02ABEH001180
Abstract: The author obtains estimates for multiple trigonometric sums with a general polynomial in the exponent whose variables of summation take the values of the successive prime numbers. The precision of the estimates is similar to that of the estimates in the paper "Multiple trigonometric sums and their applications" by Arkhipov, Karatsuba and Chubarikov (Izv. Akad. Nauk SSSR Ser. Mat., 1980, v. 44, № 4, p. 723–781).
Bibliography: 12 titles.
Received: 15.10.1984
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 5, Pages 1031–1067
Bibliographic databases:
UDC: 511
MSC: Primary 11L20, 11L40; Secondary 11J71, 11J54
Language: English
Original paper language: Russian
Citation: V. N. Chubarikov, “Estimates of multiple trigonometric sums with prime numbers”, Izv. Akad. Nauk SSSR Ser. Mat., 49:5 (1985), 1031–1067; Math. USSR-Izv., 27:2 (1986), 323–357
Citation in format AMSBIB
\Bibitem{Chu85}
\by V.~N.~Chubarikov
\paper Estimates of multiple trigonometric sums with prime numbers
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 5
\pages 1031--1067
\mathnet{http://mi.mathnet.ru/im1376}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=810529}
\zmath{https://zbmath.org/?q=an:0608.10037|0599.10031}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 2
\pages 323--357
\crossref{https://doi.org/10.1070/IM1986v027n02ABEH001180}
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  • https://www.mathnet.ru/eng/im/v49/i5/p1031
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:529
    Russian version PDF:168
    English version PDF:10
    References:71
    First page:3
     
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