Results 51 to 60 of about 71,662 (302)

Primes and the Lambert W function

open access: yesMathematics, 2018
The Lambert W function, implicitly defined by W ( x ) e
Matt Visser
doaj   +1 more source

Prime factors [PDF]

open access: yesProceedings of the National Academy of Sciences, 1996
We use Voiculescu’s free probability theory to prove the existence of prime factors, hence answering a longstanding problem in the theory of von Neumann algebras.
openaire   +3 more sources

Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions

open access: yesMathematics, 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
doaj   +1 more source

Different Stages, Different Signals: The Modulating Effect of Cognitive Conflict on Subsequent Processing. [PDF]

open access: yesPLoS ONE, 2016
The present study used event-related potentials (ERPs) to investigate the function of signals induced by cognitive conflict during the detection stage and the resolution stage of perceptual processing.
Fada Pan   +4 more
doaj   +1 more source

COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS

open access: yesمجلة بغداد للعلوم, 2023
In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test.
Yahia Awad, Ramiz Hindi, Haissam Chehade
doaj   +1 more source

Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields Q p over Primes p

open access: yesMathematics, 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
doaj   +1 more source

Verifying the Firoozbakht, Nicholson, and Farhadian Conjectures up to the 81st Maximal Prime Gap

open access: yesMathematics, 2019
The Firoozbakht, Nicholson, and Farhadian conjectures can be phrased in terms of increasingly powerful conjectured bounds on the prime gaps g n : = p n + 1 - p n .
Matt Visser
doaj   +1 more source

Two conditional results about primes in short intervals [PDF]

open access: yes, 2011
In 1937, Ingham proved that ψ(x + xθ) - ψ(x) ~ xθ for x → ∞, under the assumption of the Lindelöf hypothesis for θ > 1/2. In this paper we examine how the above asymptotic formula holds by assuming in turn two different heuristic hypotheses.
Bazzanella, Danilo, DANILO BAZZANELLA
core   +1 more source

Ewing Sarcoma in Infants and Children Under 2 Years of Age: A French Retrospective Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Ewing sarcoma, the second most common primary bone cancer in children, requires intensive treatment that may lead to significant long‐term sequelae, particularly in infants. We retrospectively analyzed data from 1621 French patients treated between 1988 and 2015 within the EW88/93/97 or EE99 trials, focusing on 17 infants diagnosed before 24 ...
Elodie Verdier   +18 more
wiley   +1 more source

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