Results 11 to 20 of about 82,476 (235)

Jensen polynomials for the Riemann zeta function and other sequences. [PDF]

Proc Natl Acad Sci U S A, 2019
Significance The Pólya–Jensen criterion for the Riemann hypothesis asserts that RH is equivalent to the hyperbolicity of certain Jensen polynomials for all degrees d≥1 and all shifts n.
Griffin M, Ono K, Rolen L, Zagier D.
europepmc   +3 more sources

Scalar modular bootstrap and zeros of the Riemann zeta function [PDF]

Journal of High Energy Physics, 2022
Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of
Nathan Benjamin, Cyuan-Han Chang
doaj   +2 more sources

Correlations of the Riemann zeta function [PDF]

Mathematika, 2023
AbstractAssuming the Riemann hypothesis, we investigate the shifted moments of the zeta function introduced by Chandee Q. J. Math. 62(2011), no. 3, 545–572, where and satisfy and . We shall prove This improves upon the previous best known bounds due to Chandee and Ng, Shen, and Wong [Can. J. Math. Published online 2023:1–31.
Michael J. Curran
openaire   +4 more sources

Hamiltonian for the Zeros of the Riemann Zeta Function [PDF]

Physical Review Letters, 2017
5 pages, version to appear in Phys.
Dorje C. Brody, Markus Müller, Markus Müller, Carl M. Bender   +3 more
openaire   +8 more sources

Riemann hypothesis and Zeta-Function

BIBECHANA, 2018
No abstract available.
Mani Raj Bhattrai
doaj   +7 more sources

Is the Riemann zeta function in a short interval a 1-RSB spin glass ?

Infotech@Aerospace Conference, 2018
Fyodorov, Hiary & Keating established an intriguing connection between the maxima of log-correlated processes and the ones of the Riemann zeta function on a short interval of the critical line.
A Auffinger, A Bovier, A Bovier, B Derrida, B Derrida, B Duplantier, CM Newman, CM Newman, CM Newman, D Schumayer, E Bolthausen, E Titchmarsh, F Ouimet, F Ouimet, K Soundararajan, LP Arguin, LP Arguin, LP Arguin, LP Arguin, LP Arguin, LP Arguin, M Biskup, M Radizwiłł, O Daviaud, P Bourgade, P Carmona, Y Saouter, YV Fyodorov   +27 more
core   +2 more sources

On Maslanka′s Representation for the Riemann Zeta Function [PDF]

International Journal of Mathematics and Mathematical Sciences, 2010
A rigorous proof is given of the hypergeometric‐like representation of the Riemann zeta function ζ(s) discovered by Maslanka as a series of Pochhamer polynomials with coefficients depending on the values of ζ at the positive even integers.
Luis Báez-Duarte
openaire   +4 more sources

Explicit zero-free regions for the Riemann zeta-function [PDF]

Research in Number Theory, 2022
We prove that the Riemann zeta-function $$\zeta (\sigma + it)$$ ζ ( σ + i t )
Michael J. Mossinghoff, T. Trudgian, Andrew Yang   +2 more
semanticscholar   +1 more source

Shifted moments of the Riemann zeta function [PDF]

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2022
In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$ th moments of the Riemann zeta ...
Nathan Ng, Quanli Shen, PENG-JIE Wong
semanticscholar   +1 more source

Maxima of a random model of the Riemann zeta function over intervals of varying length [PDF]

Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2021
We consider a model of the Riemann zeta function on the critical axis and study its maximum over intervals of length $(\log T)^{\theta}$, where $\theta$ is either fixed or tends to zero at a suitable rate.
L. Arguin, Guillaume Dubach, Lisa Hartung   +2 more
semanticscholar   +1 more source