Results 41 to 50 of about 1,625,058 (297)

Who Knows Best What the Next Year Will Hold for You? The Validity of Direct and Personality‐based Predictions of Future Life Experiences Across Different Perceivers

open access: yesEuropean Journal of Personality, EarlyView., 2020
Abstract This study explored the validity of person judgements by targets and their acquaintances (‘informants’) in longitudinally predicting a broad range of psychologically meaningful life experiences. Judgements were gathered from four sources (targets, N = 189; and three types of informants, N = 1352), and their relative predictive validity was ...
Nele M. Wessels   +3 more
wiley   +1 more source

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch   +2 more
doaj   +1 more source

Fourier coefficients associated with the Riemann zeta-function

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
We study the Riemann zeta-function $\zeta(s)$ by a Fourier series method. The summation of $\log|\zeta(s)|$ with the kernel $1/|s|^{6}$ on the critical line $\mathrm{Re}\; s = \frac{1}{2}$ is the main result of our investigation.
Yu.V. Basiuk, S.I. Tarasyuk
doaj   +1 more source

Toward the Unification of Physics and Number Theory [PDF]

open access: yesReports in Advances of Physical Sciences, 2019
This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
doaj   +1 more source

The Riemann hypothesis is false

open access: yes, 2022
Let Theta be the supremum of the real parts of the zeros of the Riemann zeta function. We demonstrate in this note that Theta must be at least 3/4. This disproves the Riemann hypothesis, which asserts that Theta = 1/2.
openaire   +1 more source

On the Order of Growth of Lerch Zeta Functions

open access: yesMathematics, 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

Pauli graphs, Riemann hypothesis, Goldbach pairs [PDF]

open access: yes, 2011
Let consider the Pauli group $\mathcal{P}_q=$ with unitary quantum generators $X$ (shift) and $Z$ (clock) acting on the vectors of the $q$-dimensional Hilbert space via $X|s> =|s+1>$ and $Z|s> =\omega^s |s>$, with $\omega=\exp(2i\pi/q)$.
A. Vourdas   +17 more
core   +3 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

open access: yesJournal 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

An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials [PDF]

open access: yes, 2004
In 1997 the author found a criterion for the Riemann hypothesis for the Riemann zeta function, involving the nonnegativity of certain coefficients associated with the Riemann zeta function. In 1999 Bombieri and Lagarias obtained an arithmetic formula for
Li, Xian-Jin
core   +3 more sources

Scalar modular bootstrap and zeros of the Riemann zeta function

open access: yesJournal 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

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