Results 11 to 20 of about 70,351 (225)
Journal of Applied Mathematics and Physics, 2019 This work is dedicated to the promotion of the results Hadamard, Landau E., Walvis A., Estarmann T and Paul R. Chernoff for pseudo zeta functions.
Durmagambetov, A.
core +3 more sources
, 2020 This work was supported by another researcher that shall be included as an author after his approval.
Richard Beals, Roderick S. C. Wong
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, 2023 Let's define $\delta(x) = (\sum_{{q\leq x}}{\frac{1}{q}}-\log \log x-B)$, where $B \approx 0.2614972128$ is the Meissel-Mertens constant. The Robin theorem states that $\delta(x)$ changes sign infinitely often. Let's also define $S(x) = \theta(x) - x$, where $\theta(x)$ is the Chebyshev function.
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, 2021 In mathematics, 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 $\frac{1}{2}$. In 1915, Ramanujan proved that under the assumption of the Riemann Hypothesis, the inequality $\sigma(n) < e^{\gamma } \times n \times \log \log n$ holds for all ...
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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
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
The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
Journal 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
Quantum graphs whose spectra mimic the zeros of the Riemann zeta function [PDF]
, 2014 One of the most famous problems in mathematics is the Riemann hypothesis: that the non-trivial zeros of the Riemann zeta function lie on a line in the complex plane.
Hummel, Quirin +2 more
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The sixth moment of the Riemann zeta function and ternary additive divisor sums
Discrete Analysis, 2021 The sixth moment of the Riemann zeta function and ternary additive divisor sums, Discrete Analysis 2021:6, 60 pp. The Riemann hypothesis states that every non-trivial zero of the Riemann zeta function lies on the critical line $\Re(z) = 1/2$.
Nathan Ng
doaj +1 more source