Results 81 to 90 of about 67,078 (181)

Thoughts on the Riemann hypothesis

open access: yes, 2003
The simultaneous appearance in May 2003 of four books on the Riemann hypothesis (RH) provoked these reflections. We briefly discuss whether the RH should be added as a new axiom, or whether a proof of the RH might involve the notion of ...
Chaitin, G. J.
core  

A Theory‐Based Nursing Scale for Measuring the Impact of Sleep Disturbance on Quality of Life

open access: yesNursing Open, Volume 13, Issue 5, May 2026.
ABSTRACT Aims Sleep disturbance and quality of life have been widely studied; however, there is a lack of theory‐based, nursing‐specific tools that directly assess their relationship. This study aimed to develop a valid and reliable measurement tool based on Kolcaba's Comfort Theory. Design Methodological study.
Güzel Nur Yildiz   +3 more
wiley   +1 more source

On Robin's criterion for the Riemann Hypothesis

open access: yes, 2006
Robin's criterion states that the Riemann Hypothesis (RH) is true if and only if Robin's inequality sum_{d|n}d=5041, where gamma denotes the Euler(-Mascheroni) constant.
Choie, Y. -J.   +3 more
core   +2 more sources

Comparison of Piezoelectric and High‐Speed Drills for Frontal Beak Osteotomy in Endoscopic Sinus Surgery—Exploratory Study

open access: yesClinical Otolaryngology, Volume 51, Issue 3, Page 386-393, May 2026.
ABSTRACT Introduction Frontal beak reduction is a critical and challenging step in endoscopic sinus surgery (ESS) for chronic rhinosinusitis (CRS). Traditional high‐speed drills can risk thermal injury and soft tissue trauma, whereas piezoelectric surgery uses ultrasonic vibrations for selective bone cutting and may improve surgical precision.
Łukasz Skrzypiec   +4 more
wiley   +1 more source

Riemann hypothesis or Riemann theory

open access: yes, 2018
the Riemann hypothesis states that any zero of the Riemann zeta function other than the trivial zeros has a real part equals half ”, this paper has only 7 pages, no figures, no charts, and contains a somehow peculiar proof to the Riemann hypothesis, which Sir David Hilbert once said about,” if I were to awaken after having slept for a thousand years ...
openaire   +1 more source

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

open access: yesJournal of Time Series Analysis, Volume 47, Issue 3, Page 612-631, May 2026.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth   +2 more
wiley   +1 more source

Riemann hypothesis to Riemann theory

open access: yes, 2018
the Riemann hypothesis states that any zero of the Riemann zeta function other than the trivial zeros has a real part equals half ”, this paper has only 7 pages, no figures, no charts, and contains a somehow distinct proof to the Riemann hypothesis, which Sir David Hilbert once said about,” if I were to awaken after having slept for a thousand years ...
openaire   +1 more source

Boundary unique continuation in planar domains by conformal mapping

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley   +1 more source

Some New Applications of the Mellin Transform Involving the Lambert Transforms and Implications for the Riemann Hypothesis

open access: yesAxioms
This work investigates the interplay between the Mellin transform and Lambert transforms to derive several novel results. In particular, we establish new inversion formulae for the Lambert transforms along with a Plancherel-type identity.
Hari M. Srivastava   +2 more
doaj   +1 more source

Conditional estimates on the argument of Dirichlet L$L$‐functions with applications to low‐lying zeros

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Under the generalized Riemann hypothesis, we use Beurling–Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet L$L$‐functions for a large prime modulus q$q$. As applications, we give alternative proofs of several results on low‐lying zeros of L(s,χ)$L(s,\chi)$ and obtain a new lower bound on the proportion ...
Tianyu Zhao
wiley   +1 more source

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