Results 281 to 290 of about 11,676,412 (344)
Decoding anaerobes: a comprehensive evaluation of MALDI-TOF Sirius and VITEK MS PRIME in clinical settings. [PDF]
Rocca MF +3 more
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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 ...
Andrew Fiori +2 more
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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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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 ...
Alexandre Bailleul
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Integers, 2012
Abstract.We discuss a relative of the perfect numbers for which it is possible to prove that there are infinitely many examples. Call a natural numberasWe conclude by discussing some related problems posed by Harborth and Cohen.
Pollack, Paul, Pomerance, Carl
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Abstract.We discuss a relative of the perfect numbers for which it is possible to prove that there are infinitely many examples. Call a natural numberasWe conclude by discussing some related problems posed by Harborth and Cohen.
Pollack, Paul, Pomerance, Carl
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A public key cryptosystem using Affine Hill Cipher under modulation of prime number
Journal of Information and Optimization Sciences, 2019M.K. Viswanath in [1] proposed the concepts a public key cryptosystem using Hill’s Cipher. This paper develops a public key cryptosystem using Affine Hill Cipher.
P. Sundarayya +2 more
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Counting Homomorphisms Modulo a Prime Number
International Symposium on Mathematical Foundations of Computer Science, 2019Counting problems in general and counting graph homomorphisms in particular have numerous applications in combinatorics, computer science, statistical physics, and elsewhere.
A. Kazeminia, A. Bulatov
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