Results 61 to 70 of about 68,409 (246)

Supersymmetry and the Riemann zeros on the critical line

Physics Letters B, 2019
We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip ...
Ashok Das, Pushpa Kalauni
doaj  

Statistical Deferred Weighted Riemann Summability and Fuzzy Approximation Theorems [PDF]

Sahand Communications in Mathematical Analysis
The notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence.
Priyadarsini Parida, Susanta Paikray, Bidu Jena   +2 more
doaj   +1 more source

The Geometry of Color in the Light of a Non‐Riemannian Space

Computer Graphics Forum, EarlyView.
Abstract We formalize Schrödinger's definitions of hue, saturation, and lightness, building on the foundational idea from Helmholtz that these perceptual attributes can be derived solely from the perceptual metric. We identify three shortcomings in Schrödinger's approach and propose solutions to them.
Roxana Bujack, Emily N. Stark, Terece L. Turton, Jonah M. Miller, David H. Rogers   +4 more
wiley   +1 more source

Proposal of proof of the Riemann Hypothesis

, 2022
This paper explains Riemann’s derivation of the Xi-function. Starting with Riemann’s equation for the Xi-function and defining an alternative formula for complex s, a proof is obtained for the real part of s being equal to one half under the condition of the Xi-function going to zero while following the same logic as Riemann did in his paper “On the ...
openaire   +1 more source

The futuristic manifolds of REM sleep

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary Since one of its first descriptions 70 years ago, rapid eye movement sleep has continually inspired and excited new generations of sleep researchers. Despite significant advancements in understanding its neurocircuitry, underlying mechanisms and microstates, many questions regarding its function, especially beyond the early neurodevelopment ...
Liborio Parrino, Ivana Rosenzweig
wiley   +1 more source

Morphogenesis of the Zeta Function in the Critical Strip by Computational Approach

Mathematics, 2018
This article proposes a morphogenesis interpretation of the zeta function by computational approach by relying on numerical approximation formulae between the terms and the partial sums of the series, divergent in the critical strip.
Michel Riguidel
doaj   +1 more source

Feasibility and usability of three consecutive nights with self‐applied, home polysomnography

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary In‐laboratory polysomnography, the gold‐standard for diagnosing sleep disorders, is resource‐demanding and not conducive to multiple night evaluations. Ambulatory polysomnography, especially when self‐applied, could be a viable alternative. This study aimed to assess the feasibility and reliability of self‐applied polysomnography over three ...
Dimitri Ferretti, Anna S. Islind, Kristín A. Ólafsdóttir, Sigridur Sigurdardottir, Kamilla R. Jóhannsdóttir, Jan Hedner, Ludger Grote, Erna Sif Arnardottir   +7 more
wiley   +1 more source

Napping during cognitive behavioural therapy for insomnia: Friends or foes?

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary Cognitive and Behavioural Therapy for Insomnia (CBT‐I) is the gold standard treatment for chronic insomnia, with one crucial step being the restriction of time spent in bed. This restriction often intensifies early afternoon sleepiness, leading to a natural gateway for a short recuperative nap, which might foster adherence to CBT‐I over time ...
Brice Faraut, Louise Gaillard, Annabelle Labonne, Julie Margrethe Dubois, Joëlle Adrien, Damien Léger   +5 more
wiley   +1 more source

On The Hidden Structure of Odd Numbers and Its Consequences for the Riemann Hypothesis

Jambura Journal of Mathematics
The Riemann hypothesis remains unconfirmed or invalidated to this day, although local verifications on the calculation of its zeros have never found it faulty.
Junior Mukomene
doaj   +1 more source

An investigation of the non-trivial zeros of the Riemann zeta function

, 2020
The zeros of the Riemann zeta function outside the critical strip are the so-called trivial zeros. While many zeros of the Riemann zeta function are located on the critical line $\Re(s)=1/2$, the non-existence of zeros in the remaining part of the ...
Heymann, Yuri
core