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Unconscious cognition without post hoc selection artifacts: From selective analysis to functional dissociations. [PDF]
Schmidt T +3 more
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Doing more with less: Genomic quasi-G-primes differentiate septic from healthy patients. [PDF]
Sha CM +6 more
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Controlling LEF growth in some group extensions. [PDF]
Bradford H.
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Sharper bounds for the error term in the prime number theorem
Research in Number Theory, 2022We 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
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Explicit Kronecker–Weyl theorems and applications to prime number races
Research in Number Theory, 2020We 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
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Prime number theorem for analytic skew products
Annals of Mathematics, 2020We 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
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