Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function

DOI10.1515/crelle-2014-0078zbMath1362.11078arXiv1406.5462OpenAlexW2044551895MaRDI QIDQ521673

Emanuel Carneiro, Micah B. Milinovich, Vorrapan Chandee, Friedrich Littmann

Publication date: 11 April 2017

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5462

zbMATH Keywords

Riemann zeta functionRiemann hypothesisentire functions of exponential typeMontgomery's pair correlation conjecture

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 (18)

Pair correlation of zeros of \(\Gamma_1(q)\) L-functions ⋮ Bounding S_n(t) on the Riemann hypothesis ⋮ Interpolation formulas with derivatives in de Branges spaces. II. ⋮ On Montgomery's pair correlation conjecture: a tale of three integrals ⋮ A note on the mean values of the derivatives of 𝜁’/𝜁 ⋮ On the 𝑞-analogue of the Pair Correlation Conjecture via Fourier optimization ⋮ Small gaps and small spacings between zeta zeros ⋮ One-sided band-limited approximations of some radial functions ⋮ On the argument of \(L\)-functions ⋮ A note on band-limited minorants of an Euclidean ball ⋮ Extremal functions in de Branges and Euclidean spaces ⋮ A note on the zeros of zeta and \(L\)-functions ⋮ Band-limited mimicry of point processes by point processes supported on a lattice ⋮ Pair correlation estimates for the zeros of the zeta function via semidefinite programming ⋮ Interpolation formulas with derivatives in de Branges spaces ⋮ Fourier optimization and prime gaps ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions ⋮ Extremal problems in de Branges spaces: the case of truncated and odd functions

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