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