Bandlimited approximations and estimates for the Riemann zeta-function

DOI10.5565/PUBLMAT6321906zbMath1454.11154arXiv1710.10362OpenAlexW2962893614MaRDI QIDQ2318693

Micah B. Milinovich, Emanuel Carneiro, Andrés Chirre

Publication date: 15 August 2019

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10362

zbMATH Keywords

extremal functionsRiemann zeta-functionRiemann hypothesiscritical stripGaussian subordinationexponential typeargumentBeurling-Selberg extremal problem

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) Approximation by other special function classes (41A30)

Related Items (12)

On Montgomery's pair correlation conjecture: a tale of three integrals ⋮ A note on entire \(L\)-functions ⋮ Large oscillations of the argument of Rankin-Selberg \(L\)-functions ⋮ Large oscillations of the argument of the Riemann zeta‐function ⋮ Conditional estimates for the logarithmic derivative of Dirichlet \(L\)-functions ⋮ Extreme values for \(S_n(\sigma,t)\) near the critical line ⋮ On explicit estimates for \(S(t)\), \(S_1(t)\), and \(\zeta ( 1 / 2 + \operatorname{i} t )\) under the Riemann hypothesis ⋮ Large values of the argument of the Riemann zeta-function and its iterates ⋮ Pair correlation estimates for the zeros of the zeta function via semidefinite programming ⋮ Bounding the log-derivative of the zeta-function ⋮ Primes in arithmetic progressions and semidefinite programming ⋮ The second moment of Sn(t) on the Riemann hypothesis

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