Results 41 to 50 of about 3,702 (270)

Along the Lines of Nonadditive Entropies: q-Prime Numbers and q-Zeta Functions [PDF]

Entropy, 2021
The rich history of prime numbers includes great names such as Euclid, who first analytically studied the prime numbers and proved that there is an infinite number of them, Euler, who introduced the function ζ(s)≡∑n=1∞n−s=∏pprime11−p−s, Gauss, who estimated the rate at which prime numbers increase, and Riemann, who extended ζ(s) to the complex plane z ...
Ernesto P. Borges, Takeshi Kodama, Constantino Tsallis   +2 more
openaire   +4 more sources

Modified L-functions

Lietuvos Matematikos Rinkinys, 2008
The sequence of generalized prime numbers q0 = 1, qn = pkn+1 -1, n ∈ N, and the corresponding zeta-function Zk(s) = \prodp>2( 1 - (pk - 1)-s)-1 , s = σ + it, are analyzed.
Eugenijus Stankus
doaj   +1 more source

The prime number theorem and pair correlation of zeros of the Riemann zeta-function

Research in Number Theory, 2022
9 ...
D. A. Goldston, Ade Irma Suriajaya
openaire   +2 more sources

Computation of stagnation coating flow of electro-conductive ternary Williamson hybrid $$\mathrm{GO}-\mathrm{AU}-{\mathrm{Co}}_{3}{\mathrm{O}}_{4}/\mathrm{EO}$$ GO - AU - Co 3 O 4 / EO nanofluid with a Cattaneo–Christov heat flux model and magnetic induction

Scientific Reports, 2023
Modern smart coating systems are increasingly exploiting functional materials which combine multiple features including rheology, electromagnetic properties and nanotechnological capabilities and provide a range of advantages in diverse operations ...
K. Bhagya Swetha Latha, M. Gnaneswara Reddy, D. Tripathi, O. Anwar Bég, S. Kuharat, Hijaz Ahmad, Dilber Uzun Ozsahin, Sameh Askar   +7 more
doaj   +1 more source

Fekete-Szegő inequalities for certain class of analytic functions connected with q-analogue of Bessel function

Journal of the Egyptian Mathematical Society, 2019
In this paper, we obtain Fekete-Szegő inequalities for a certain class of analytic functions f satisfying 1+1ζzNν,qλf(z)′(1−γ)Nν,qλf(z)+γzNν,qλf(z)′−1≺Ψ(z) $1+\frac {1}{\zeta }\left [\frac {z\left (\mathcal {N}_{\nu,q}^{\lambda }f(z)\right)^{\prime }} {(
Sheza M. El-Deeb, Teodor Bulboacă
doaj   +1 more source

The Connection between the Zeta function and Primes

, 2023
This paper derives a general formula for the cumulative sum of powered integerreciprocals with constant base and compares it with the formula for the logarithm of the Zeta function.
openaire   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

On the zero-free region and the distribution of zeros of the prime zeta function

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The prime zeta function is one of the most under-researched varieties of the class. Very little is known about the irregular distribution of its zeros. The presented study aims - albeit partially - to fill the gap in our understanding of the subject.
Belovas Igoris, Čepaitytė Rugilė, Sabaliauskas Martynas   +2 more
doaj   +1 more source

Tumor clusters with divergent inflammation and human retroelement expression determine the clinical outcome of patients with serous ovarian cancer

Molecular Oncology, EarlyView.
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner, Markus Eckstein, Christoph Mark, Matthias W. Beckmann, Arndt Hartmann, Pamela L. Strissel, Reiner Strick   +6 more
wiley   +1 more source

Matrix model for Riemann zeta via its local factors

Nuclear Physics B, 2020
We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is ‘p-iecemeal’, in the sense that we consider each factor in the Euler product representation of the zeta function to
Arghya Chattopadhyay, Parikshit Dutta, Suvankar Dutta, Debashis Ghoshal   +3 more
doaj