Zero multiplicity and lower bound estimates of \(|\zeta(S)|\)

DOI10.7169/facm/1229442623zbMath1196.11118OpenAlexW2038597981MaRDI QIDQ873776

Anatolii A. Karatsuba

Publication date: 20 March 2007

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229442623

zbMATH Keywords

Riemann zeta-functionzero multiplicity

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ On large values of the Riemann zeta-function on short segments of the critical line ⋮ On the multiplicities of zeros of \(\zeta(s)\) and its values over short intervals ⋮ On Titchmarsh's phenomenon in the theory of the Riemann zeta function ⋮ A note on the zeros of the zeta-function of Riemann ⋮ Large values of the Riemann zeta-function on short intervals of the critical line ⋮ Lower bounds for the Riemann zeta function on short intervals of the critical line

Cites Work

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• Concerning the Karatsuba conjectures.
• Lower bounds for the Riemann zeta-function on the critical line
• On Karatsuba Conjecture and the Lindelöf Hypothesis
• Lower bounds for the maximum modulus of the Riemann zeta function on short segments of the critical line

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