Results 21 to 30 of about 1,611,376 (286)
Majorana quanta, string scattering, curved spacetimes and the Riemann Hypothesis [PDF]
Physica Scripta, 2021 The Riemann Hypothesis states that the Riemann zeta function ζ(z) admits a set of ‘non-trivial’ zeros that are complex numbers supposed to have real part 1/2.
F. Tamburini, I. Licata
semanticscholar +1 more source
The Riemann hypothesis is true up to 3·1012 [PDF]
Bulletin of the London Mathematical Society, 2020 We verify numerically, in a rigorous way using interval arithmetic, that the Riemann hypothesis is true up to height 3·1012 .
Dave Platt, T. Trudgian
semanticscholar +1 more source
A dynamical approach to generalized Weil’s Riemann hypothesis and semisimplicity [PDF]
Science China Mathematics, 2021 Let $X$ be a smooth projective variety over an algebraically closed field of arbitrary characteristic, and $f$ a dynamical correspondence of $X$. In 2016, the second author conjectured that the dynamical degrees of $f$ defined by the pullback actions on \
Fei Hu, T. Truong
semanticscholar +1 more source
Two generalizations of Liouville λ function [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We study the properties of two classes of functions λₖ and ~λₖ that generalize the Liouville λ function, including some equivalencies between the Riemann hypothesis and some assertions about the asymptotic behavior of the summatory functions of λₖ and ...
André Pierro de Camargo
doaj +1 more source
The Generalized Riemann Hypothesis on elliptic complex fields
AIMS Mathematics, 2023 In this paper, we will introduce a new algebraic system called the elliptic complex, and consider the distribution of zeros of the function $ L(s, \chi) $ in the corresponding complex plane. The key to this article is to discover the limiting case of the
Xian Hemingway
doaj +1 more source
Riemann hypothesis and Zeta-Function
Bibechana, 2018 No abstract available.
Mani Raj Bhattrai
doaj +3 more sources
Chronic insomnia, REM sleep instability and emotional dysregulation: A pathway to anxiety and depression? [PDF]
J Sleep ResSummary The world‐wide prevalence of insomnia disorder reaches up to 10% of the adult population. Women are more often afflicted than men, and insomnia disorder is a risk factor for somatic and mental illness, especially depression and anxiety disorders.
Riemann D +13 more
europepmc +2 more sources
An Analytical and Numerical Detour for the Riemann Hypothesis
Information, 2021 From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight into Hadamard’s product formula. The function S1(s)=d(lnF(s))/ds and its family of associated Sm functions, expressed as a sum of rational fractions, are ...
Michel Riguidel
doaj +1 more source
Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis [PDF]
Mathematics of Computation, 2020 We prove an explicit error term for the $\psi(x,\chi)$ function assuming the Generalized Riemann Hypothesis. Using this estimate, we prove a conditional explicit bound for the number of primes in arithmetic progressions.
A. Ernvall-Hytönen, Neea Palojärvi
semanticscholar +1 more source
Journal of Number Theory, 1996 AbstractIt has been shown by Wan [W1] that a version of the Riemann hypothesis for characteristicpvalued zeta functions, due to D. Goss, is satisfied forFq[T], withq=pbeing prime. We present another proof of this result.
Javier Diaz-Vargas
openalex +3 more sources