A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Probl. Peredachi Inf., 39:1 (2003), 88

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Probl. Peredachi Inf., 2003, Volume 39, Issue 1, Pages 88–102 (Mi ppi207)

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Zeros and Local Extrema of Trigonometric Sums

A. A. Karatsuba

Abstract: Theorems on the number of zeros and number of local extrema of trigonometric sums, in particular, Gauss and Weyl sums, are proved.

UDC: 621.391:519.2

Citation: A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Probl. Peredachi Inf., 39:1 (2003), 88–102

Citation in format AMSBIB:

\Bibitem{1}
\by A.~A.~Karatsuba
\paper Zeros and Local Extrema of Trigonometric Sums
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 1
\pages 88--102
\mathnet{http://mi.mathnet.ru/ppi207}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2101667}
\zmath{http://www.zentralblatt-math.org/zmath/search/?an=1081.11058}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 1
\pages 78--91
\crossref{http://dx.doi.org/10.1023/A:1023682532112}

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English version:
Problems of Information Transmission, 2003, 39:1, 78–91

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This publication is cited in the following articles:

Карацуба А.А., “Поведение функции $R_1(x)$ и ее среднего значения”, Докл. РАН, 404:4 (2005), 439–442 ; Karatsuba A.A., “Behavior of the function $R_1(x)$ and its mean value”, Dokl. Math., 72:2 (2005), 712–715

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