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Mat. Zametki, 2004, Volume 76, Issue 6, Pages 922–927 (Mi mz151)  

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

Lower Bounds for the Riemann Zeta Function on the Critical Line

M. E. Changa

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We establish a relation between the lower bound for the maximum of the modulus of $\zeta(1/2+iT+s)$ in the disk $|s|\le H$ and the lower bound for the maximum of the modulus of $\zeta(1/2+iT+it)$ on the closed interval $|t|\le H$ for $0<H(T)\le1/2$. We prove a theorem on the lower bound for the maximum of the modulus of $0<H(T)\le1/2$ on the closed interval $|t|\le H$ for $40\le H(T)\le\log\log T$.

DOI: https://doi.org/10.4213/mzm151

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English version:
Mathematical Notes, 2004, 76:6, 859–864

Bibliographic databases:

UDC: 511
Received: 30.06.2004

Citation: M. E. Changa, “Lower Bounds for the Riemann Zeta Function on the Critical Line”, Mat. Zametki, 76:6 (2004), 922–927; Math. Notes, 76:6 (2004), 859–864

Citation in format AMSBIB
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\by M.~E.~Changa
\paper Lower Bounds for the Riemann Zeta Function on the Critical Line
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\yr 2004
\vol 76
\issue 6
\pages 922--927
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. E. Changa, “On a function-theoretic inequality”, Russian Math. Surveys, 60:3 (2005), 564–565  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    2. Korolev M.A., “On Large Values of the Riemann Zeta-Function on Short Segments of the Critical Line”, Acta Arith., 166:4 (2014), 349–390  crossref  mathscinet  zmath  isi  scopus  scopus
    3. Kerr B., “Lower Bounds For the Riemann Zeta Function on Short Intervals of the Critical Line”, Arch. Math., 105:1 (2015), 45–53  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    4. Korolev M.A., “Large Values of the Riemann Zeta-Function on Short Intervals of the Critical Line”, Dokl. Math., 91:1 (2015), 102–104  mathnet  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    5. M. A. Korolev, “On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s”, Proc. Steklov Inst. Math., 299 (2017), 1–43  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    6. Ivic A., “On the Multiplicities of Zeros of Zeta(S) and Its Values Over Short Intervals”, J. Number Theory, 185 (2018), 65–79  crossref  mathscinet  zmath  isi  scopus  scopus
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