Results 31 to 40 of about 1,625,058 (297)
Longitudinal associations between stress and sleep disturbances during COVID‐19
Stress and Health, Volume 38, Issue 5, Page 919-926, December 2022., 2022 Abstract The psychological consequences of COVID‐19 pandemic may include the activation of stress systems, that involve the hypothalamic‐pituitary‐adrenal axis which influences many physiological functions, including sleep. Despite epidemiological studies evidenced greater prevalence of stress symptoms and sleep disturbances during COVID‐19 ...
Andrea Ballesio +15 more
wiley +1 more source
Disproof of the Riemann Hypothesis [PDF]
, 2021 We define the function $\upsilon(x) = \frac{3 \times \log x + 5}{8 \times \pi \times \sqrt{x} + 1.2 \times \log x + 2} + \frac{\log x}{\log (x + C \times \sqrt{x} \times \log \log \log x)} - 1$ for some positive constant $C$ independent of $x$. We prove that the Riemann hypothesis is false when there exists some number $y \geq 13.1$ such that for all ...
openaire +8 more sources
On Robin’s criterion for the Riemann Hypothesis
Notes on Number Theory and Discrete Mathematics, 2021 Robin’s criterion says that the Riemann Hypothesis is equivalent to \[\forall n\geq 5041, \ \ \frac{\sigma(n)}{n}\leq e^{\gamma}\log_2 n,\] where \sigma(n) is the sum of the divisors of n, \gamma represents the Euler–Mascheroni constant, and \log_i ...
Safia Aoudjit, Djamel Berkane, P. Dusart
semanticscholar +1 more source
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
Traces of certain integral operators related to the Riemann hypothesis
AIMS Mathematics, 2023 We prove the existence of a nontrivial singular trace $ \tau $ defined on an ideal $ \mathcal{J} $ closed with respect to the logarithmic submajorization such that $ \tau(A_\rho(\alpha)) = 0 $, where $ A_\rho(\alpha):L^{2}(0, 1)\to L^{2}(0, 1) $, $ {[A_ ...
Alfredo Sotelo-Pejerrey
doaj +1 more source
The Riemann hypothesis and tachyonic off-shell string scattering amplitudes
European Physical Journal C: Particles and Fields, 2022 The study of the $$\mathbf{4}$$ 4 -tachyon off-shell string scattering amplitude $$ A_4 (s, t, u) $$ A 4 ( s , t , u ) , based on Witten’s open string field theory, reveals the existence of poles in the s-channel and associated to a continuum of complex “
Carlos Castro Perelman
doaj +1 more source
Counterexample of the Riemann Hypothesis [PDF]
, 2022 Under the assumption that the Riemann hypothesis is true, von Koch deduced the improved asymptotic formula $\theta(x) = x + O(\sqrt{x} \times \log^{2} x)$, where $\theta(x)$ is the Chebyshev function. We obtain a result which contradicts this asymptotic formula. By contraposition, we deduce that the Riemann hypothesis is false.
openaire +3 more sources
The Riemann Hypothesis Is True [PDF]
, 2021 The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. The Riemann hypothesis belongs to the David Hilbert's list of 23 unsolved problems. Besides, it is one of the Clay Mathematics Institute's Millennium Prize Problems.
openaire +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
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