Results 31 to 40 of about 71,662 (302)
Variants on Andrica’s Conjecture with and without the Riemann Hypothesis
Mathematics, 2018 The gap between what we can explicitly prove regarding the distribution of primes and what we suspect regarding the distribution of primes is enormous. It is (reasonably) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s ...
Matt Visser
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Nature Catalysis, 2018 The carboxylation of aromatic compounds with CO2 is an attractive reaction, albeit limited in scope. Now, bulky ligands in a Rh(II) catalysed C–H carboxylation of 2-arylphenols are shown to override the standard ortho/para Kolbe-Schmitt-type regioselectivity allowing instead carboxylation at 2’
Spencer, Andrew +2 more
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The integral part of a nonlinear form with a square, a cube and a biquadrate
Open Mathematics, 2020 In this paper, we show that if λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} are non-zero real numbers, and at least one of the numbers λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} is irrational, then the integer parts of λ1n12+λ2n23+λ3n34{
Ge Wenxu, Li Weiping, Zhao Feng
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Create your own stimulus: Manipulating movements according to social categories. [PDF]
PLoS ONE, 2017 People ascribe purposeful behaviour to the movements of artificial objects and social qualities to human body motion. We investigated how people associate simple motion cues with social categories.
Markus Koppensteiner +2 more
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A Note on Short Intervals Containing Primes [PDF]
, 2004 In 1999, P. Dusart showed that for x ≥ 3275, there exists at least a prime number in the interval (x, x(1 + 1/(2ln²x))] and in 2003, O. Ramaré and Y. Saouter showed that for x ≥ 10726905041 there exists at least a prime number in the interval (x(1 −
Sariolgalam, Narges, Hassani, Mehdi
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Averages Along the Primes: Improving and Sparse Bounds
Concrete Operators, 2020 Consider averages along the prime integers ℙ given ...
Han Rui +3 more
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ON SHIFTED PRIMES AND BALANCED PRIMES [PDF]
International Journal of Number Theory, 2012 The asymptotic order of the number of primes, which are such that the shift by a fixed integer is a number supported by a given set of primes times a coprime squarefree number, is determined. The order is also determined when the shift and its negative have this same shape.
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Prime numbers in logarithmic intervals [PDF]
, 2010 Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco +9 more
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Information and Computation, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orna Kupferman, Jonathan Mosheiff
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About twin primes and distribution of primes [PDF]
, 2010 This paper give us a demonstration of twin primes conjecture using approximation of function (iupsilon) that we introduce in section 6. Section 1-5 give us introduction to terminology and a clarification on (iupsilon) terms.
Di Pietro, Gabriele
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