Results 51 to 60 of about 1,611,376 (286)

On the Order of Growth of Lerch Zeta Functions

Mathematics, 2023
We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t13/84+ϵ as t → ∞.
Jörn Steuding, Janyarak Tongsomporn
doaj   +1 more source

Li's criterion for the Riemann hypothesis - numerical approach [PDF]

Opuscula Mathematica, 2004
There has been some interest in a criterion for the Riemann hypothesis proved recently by Xian-Jin Li [Li X.-J.: The Positivity of a Sequence of Numbers and the Riemann Hypothesis. J. Number Theory 65 (1997), 325-333].
Krzysztof Maślanka
doaj  

Scalar modular bootstrap and zeros of the Riemann zeta function

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   +1 more source

A note on the gaps between consecutive zeros of the Riemann zeta-function [PDF]

, 2009
Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at most 0.5155 times the average spacing and infinitely often they differ by at least 2.69 times the average spacing ...
Bui, H. M., Milinovich, M. B., Ng, N.
core   +4 more sources

Riemann Hypothesis Proof

, 2021
Please mail me regarding any issues.
openaire   +1 more source

On the density of some special primes

Journal of Mathematical Cryptology, 2009
We show, under the Generalized Riemann Hypothesis, that a certain set of primes which is of importance for the theory of pseudorandom sequences is of positive relative density. We also use an unconditional result of H.
Friedlander John B., Shparlinski Igor E.
doaj   +1 more source

Sleep Medicine-What's in a Name? [PDF]

J Sleep Res
ABSTRACT Sleep medicine has matured into a recognised medical discipline, characterised by defined diagnostic concepts, evidence‐based treatments, and significant progress in understanding sleep physiology and disorders. Sleep and its disturbances impact virtually every aspect of health and well‐being.
Pevernagie DA, Arnardottir ES, Bruni O, Hartley S, Lammers GJ, Paunio T, Riemann D, Riha RL.   +7 more
europepmc   +2 more sources

Mathematical Modelling of COVID-19 and Solving Riemann Hypothesis, Polignac's and Twin Prime Conjectures Using Novel Fic-Fac Ratio With Manifestations of Chaos-Fractal Phenomena

Journal of Mathematics Research, 2020
COVID-19 originated from Wuhan, China in December 2019. Declared by the World Health Organization on March 11, 2020; COVID-19 pandemic has resulted in unprecedented negative global impacts on health and economy.
J. Ting
semanticscholar   +1 more source

Speiser’s Theorem on the Road

Walailak Journal of Science and Technology, 2019
In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function).
Janyarak TONGSOMPORN, Jörn STEUDING
doaj   +1 more source

Some Remarks and Propositions on Riemann Hypothesis

Mathematics and Statistics, 2020
In this article we look at some well know results of Riemann Zeta function in a different light. We explore the proofs of Zeta integral Representation, Analytic continuity and the first functional equation.
J. Salah
semanticscholar   +1 more source