Results 31 to 40 of about 626,535 (304)
New Proof That the Sum of the Reciprocals of Primes Diverges
Mathematics, 2020 In this paper, we give a new proof of the divergence of the sum of the reciprocals of primes using the number of distinct prime divisors of positive integer n, and the placement of lattice points on a hyperbola given by n=pr with prime number p.
Vicente Jara-Vera +1 more
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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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Semantic priming, prime reportability, and retroactive priming are interdependent [PDF]
Memory & Cognition, 1988 In two experiments, semantic analysis of prime words was measured in terms of facilitation in naming a semantically related target word. Targets were degraded but gradually clarified until the subject named them. Subjects reported the prime after naming the target. Experiment 1 used semantic associates as primes at a 50-msec prime-target stimulus onset
openaire +2 more sources
International Journal of Mathematics and Mathematical Sciences, 1999 For a positive integer n, let P(n) denotes the largest prime divisor of n and define the set: 𝒮(x)=𝒮={n≤x:n does not divide P(n)!}. Paul Erdös has proposed that |S|=o(x) as x→∞, where |S| is the number of n∈S. This was proved by Ilias Kastanas.
Safwan Akbik
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Primes and the Lambert W function
Mathematics, 2018 The Lambert W function, implicitly defined by W ( x ) e
Matt Visser
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Restriction theory of the Selberg sieve, with applications [PDF]
, 2004 The Selberg sieve provides majorants for certain arithmetic sequences, such as the primes and the twin primes. We prove an L^2-L^p restriction theorem for majorants of this type.
Green, Ben, Tao, Terence
core +4 more sources
Mathematics, 2019 This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan +2 more
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Shifting evaluation windows: predictable forward primes with long SOAs eliminate the impact of backward primes. [PDF]
PLoS ONE, 2013 Recent work suggests that people evaluate target stimuli within short and flexible time periods called evaluation windows. Stimuli that briefly precede a target (forward primes) or briefly succeed a target (backward primes) are often included in the ...
Daniel A Fockenberg +3 more
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The primes contain arbitrarily long arithmetic progressions [PDF]
, 2004 We prove that there are arbitrarily long arithmetic progressions of primes. There are three major ingredients. The first is Szemeredi s theorem, which asserts that any subset of the integers of positive density contains progressions of arbitrary length ...
B. Green, T. Tao
semanticscholar +1 more source
Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
Mathematics, 2019 In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space ( LS , τ 0 ) induced by measurable functions on p-adic number fields Q p over primes p .
Ilwoo Cho, Palle Jorgensen
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