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Doing more with less: Genomic quasi-G-primes differentiate septic from healthy patients. [PDF]

open access: yesPLoS One
Sha CM   +6 more
europepmc   +1 more source
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Sharper bounds for the error term in the prime number theorem

Research in Number Theory, 2022
We obtain bounds for the error term in the prime number theorem of the form $$\begin{aligned} \left| \pi (x) - {{\,\textrm{Li}\,}}(x) \right| \le 9.2211\, x\sqrt{\log (x)} \exp \left( -0.8476 \sqrt{\log (x)} \right) \ \text {for all} \ x\ge 2, \end ...
A. Fiori, H. Kadiri, Joshua Swidinsky
semanticscholar   +1 more source

Explicit Kronecker–Weyl theorems and applications to prime number races

Research in Number Theory, 2020
We prove explicit versions of the Kronecker–Weyl theorems, both in a discrete and a continuous settings, without any linear independence hypothesis. As an application, we propose an alternative approach to problems concerning asymptotic densities in ...
A. Bailleul
semanticscholar   +1 more source

Prime number theorem for analytic skew products

Annals of Mathematics, 2020
We establish a prime number theorem for all uniquely ergodic, analytic skew products on the $2$-torus $\mathbb{T}^2$. More precisely, for every irrational $\alpha$ and every $1$-periodic real analytic $g:\mathbb{R}\to\mathbb{R}$ of zero mean, let $T_ ...
Adam Kanigowski   +2 more
semanticscholar   +1 more source

Prime Number

Emerging Security Algorithms and Techniques, 2019
Khaleel Ahmad   +2 more
openaire   +2 more sources

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