Results 21 to 30 of about 68,409 (246)
Symmetries and the Riemann Hypothesis [PDF]
Advanced Studies in Pure Mathematics, 2008 Associated to classical semi-simple groups and their maximal parabolics are genuine zeta functions. Naturally related to Riemann's zeta and governed by symmetries, including that of Weyl, these zetas are expected to satisfy the Riemann hypothesis.
Lin Weng
openalex +5 more sources
Do Sojourn Effects on Personality Trait Changes Last? A Five‐Year Longitudinal Study
European Journal of Personality, EarlyView., 2020 Abstract This study examined sojourners' long‐term personality trait changes over five years, extending previous research on immediate sojourn effects. A sample of German students (N = 1095) was surveyed thrice (T1–T3) over the course of an academic year.
Julia Richter +4 more
wiley +1 more source
European 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
Analyzing Riemann's hypothesis
, 2022 In this paper we perform a detailed analysis of Riemann's hypothesis, dealing with the zeros of the analytically-extended zeta function. We use the functional equation $ζ(s) = 2^{s}π^{s-1}\sin{(\displaystyle πs/2)}Γ(1-s)ζ(1-s)$ for complex numbers $s$ such that $0<{\rm Re(s)}<1$ and the reduction to the absurd method where we use an analytical ...
Orus-Lacort, Mercedes +2 more
openaire +2 more sources
Noncommutative Riemann hypothesis [PDF]
Proceedings of the American Mathematical Society, 2022 In this note, making use of noncommutative l l -adic cohomology, we extend the generalized Riemann hypothesis from the realm of algebraic geometry to the broad setting of geometric noncommutative schemes in the sense of Orlov.
openaire +3 more sources
Toward the Unification of Physics and Number Theory [PDF]
Reports 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
Fourier coefficients associated with the Riemann zeta-function
Karpatsʹkì 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
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
On Euler products with smaller than one exponents
Acta Universitatis Sapientiae: Mathematica, 2020 Investigation has been made regarding the properties of the ℿp≤n (1 ± 1/ps) products over the prime numbers, where we fix the s ∈ ℝ exponent, and let the n ≥ 2 natural bound grow toward positive infinity.
Román Gábor
doaj +1 more source
Pauli graphs, Riemann hypothesis, Goldbach pairs [PDF]
, 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