A. A. Karatsuba, “Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line”, Mat. Zametki, 72:4 (2002), 502–508; Math. Notes, 72:4 (2002), 466

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Matematicheskie Zametki, 2002, Volume 72, Issue 4, Pages 502–508
DOI: https://doi.org/10.4213/mzm439 (Mi mzm439)

This article is cited in 6 scientific papers (total in 6 papers)

Fractional Moments and Zeros of

ζ (s)

$\zeta (s)$ on the Critical Line

A. A. Karatsuba

Steklov Mathematical Institute, Russian Academy of Sciences

Full-text PDF (169 kB) Citations (6)

References:

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DOI: https://doi.org/10.4213/mzm439

Abstract: A connection is established between the fractional moments of the Riemann zeta-function and the number of its zeros on the critical line.

Received: 19.02.2002

English version:
Mathematical Notes, 2002, Volume 72, Issue 4, Pages 466–472
DOI: https://doi.org/10.1023/A:1020576126921

Bibliographic databases:

Document Type: Article

UDC: 511

Language: Russian

Citation: A. A. Karatsuba, “Fractional Moments and Zeros of

$\zeta (s)$ on the Critical Line”, Mat. Zametki, 72:4 (2002), 502–508; Math. Notes, 72:4 (2002), 466–472

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm439

https://doi.org/10.4213/mzm439

https://www.mathnet.ru/eng/mzm/v72/i4/p502

This publication is cited in the following 6 articles:

S. A. Gritsenko, “On the zeros of the Davenport–Heilbronn function”, Proc. Steklov Inst. Math., 296 (2017), 65–87
M. A. Korolev, “On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s”, Proc. Steklov Inst. Math., 299 (2017), 1–43
S. A. Gritsenko, “O drobnykh momentakh uspokoennykh $L$-funktsii Lirikhle”, Chebyshevskii sb., 18:4 (2017), 168–187
S. A. Gritsenko, “On the Zeros of the Davenport–Heilbronn Function Lying on the Critical Line”, Math. Notes, 101:1 (2017), 166–170
S. A. Gritsenko, “On a Problem of Karatsuba”, Math. Notes, 88:4 (2010), 492–502
S. A. Gritsenko, D. B. Demidov, “On the connection of fractional moments of the riemann zeta-function with its zeros”, Journal of Mathematical Sciences, 173:2 (2011), 188–193

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	524
Full-text PDF :	245
References:	61
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