Results 31 to 40 of about 70,351 (225)
On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
, 2013 Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero.
Bui, H. M. +2 more
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
wiley +1 more source
JCPP Advances, EarlyView.Abstract Background Adolescence is marked by increased vulnerability to sleep disturbances and mood disorders. Understanding how day‐to‐day changes in sleep and mood are linked within the same individual is crucial for clarifying sleep's role in emerging internalizing disorders. However, the extent to which an adolescent's fluctuations in sleep predict
Konstantin Drexl +4 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Variants on Andrica’s Conjecture with and without the Riemann Hypothesis
Mathematics, 2018 The gap between what we can explicitly prove regarding the distribution of primes and what we suspect regarding the distribution of primes is enormous. It is (reasonably) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s ...
Matt Visser
doaj +1 more source
Development of a New Zeta Formula and Its Role in Riemann Hypothesis and Quantum Physics
Mathematics, 2023 In this study, we investigated a new zeta formula in which the zeta function can be expressed as the sum of an infinite series of delta and cosine functions.
Saadeldin Abdelaziz +2 more
doaj +1 more source
A canonical system of differential equations arising from the Riemann zeta-function [PDF]
, 2016 This paper has two main results, which relate to a criteria for the Riemann hypothesis via the family of functions $\Theta_\omega(z)=\xi(1/2-\omega-iz)/\xi(1/2+\omega-iz)$, where $\omega>0$ is a real parameter and $\xi(s)$ is the Riemann xi-function. The
Suzuki, Masatoshi
core
Role of Sleep Disturbances and Diabetes‐Related Distress on Glycemic Control: A Path Analysis
Research in Nursing &Health, EarlyView.ABSTRACT Despite advancements in diabetes management technology, many patients with type 2 diabetes (T2D) struggle to achieve optimal glycemic control. Sleep disorders such as obstructive sleep apnea (OSA) and insomnia are common in T2D and linked to poor glycemic control. Insomnia, particularly with short sleep duration, may worsen glycemic control by
Bomin Jeon +2 more
wiley +1 more source
, 2021 Denote by zeta the Riemann zeta function. We demonstrate in this note that zeta(s) doesn't vanish whenever Re(s)>1/2, which proves the Riemann hypothesis.
openaire +1 more source