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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 6, Pages 1199–1223
DOI: https://doi.org/10.1070/IM1973v007n06ABEH002080 (Mi im2358) 		 
This article is cited in 9 scientific papers (total in 10 papers)

The mean value of the modulus of a trigonometric sum

A. A. Karatsuba
English version PDF (736 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM1973v007n06ABEH002080
Abstract: We obtain a simplified upper bound which is uniform in all parameters for the mean value of the modulus of a trigonometric sum.
Received: 20.03.1973
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1973, Volume 37, Issue 6, Pages 1203–1227
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: Primary 10G05; Secondary 12C25
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “The mean value of the modulus of a trigonometric sum”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973), 1203–1227; Math. USSR-Izv., 7:6 (1973), 1199–1223
Citation in format AMSBIB
\Bibitem{Kar73}
\by A.~A.~Karatsuba
\paper The mean value of the modulus of a~trigonometric sum
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1973
\vol 37
\issue 6
\pages 1203--1227
\mathnet{http://mi.mathnet.ru/im2358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=337817}
\zmath{https://zbmath.org/?q=an:0283.10021}
\transl
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 6
\pages 1199--1223
\crossref{https://doi.org/10.1070/IM1973v007n06ABEH002080}
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  • https://doi.org/10.1070/IM1973v007n06ABEH002080
  • https://www.mathnet.ru/eng/im/v37/i6/p1203
    • This publication is cited in the following 10 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:383
    Russian version PDF:152
    English version PDF:5
    References:42
    First page:1
     
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