An improved upper bound for the argument of the Riemann zeta-function on the critical line

DOI10.1090/S0025-5718-2011-02537-8zbMath1267.11093OpenAlexW2075274710MaRDI QIDQ5389445

Timothy S. Trudgian

Publication date: 26 April 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02537-8

zbMATH Keywords

Riemann zeta-functionconvexity estimate

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)

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EXPLICIT ZERO‐FREE REGIONS FOR DIRICHLET ‐FUNCTIONS ⋮ The mean square of the error term in the prime number theorem ⋮ Counting zeros of the Riemann zeta function ⋮ An improved upper bound for the argument of the Riemann zeta-function on the critical line. II ⋮ An explicit result for primes between cubes ⋮ Gram's law in the theory of the Riemann zeta-function. II ⋮ An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions ⋮ On the Riemann hypothesis and the difference between primes ⋮ A still sharper region where $\pi (x)-{\mathrm {li}}(x)$ is positive ⋮ EXPLICIT ZERO-COUNTING THEOREM FOR HECKE–LANDAU ZETA-FUNCTIONS

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