Results 11 to 20 of about 626,535 (304)
Vinogradov's three primes theorem with almost twin primes [PDF]
Compositio Mathematica, 2017 In this paper we prove two results concerning Vinogradov's three primes theorem with primes that can be called almost twin primes. First, for any $m$, every sufficiently large odd integer $N$ can be written as a sum of three primes $p_1, p_2$ and $p_3 ...
Matomäki, Kaisa, Shao, Xuancheng
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Dense clusters of primes in subsets [PDF]
Compositio Mathematica, 2014 We prove a generalization of the author's work to show that any subset of the primes which is `well-distributed' in arithmetic progressions contains many primes which are close together.
Maynard, James
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Some Diophantine equations and inequalities with primes [PDF]
, 2020 The inequalities concern the sum of s powers of primes with non-integer exponent c>1. Here s =2,3,4,or 5. The equations are similar, taking integer part before summing; here s = 3 or 5.
R. Baker
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Hidden multiscale order in the primes [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 We study the pair correlations between prime numbers in an interval with , . By analyzing the structure factor, we prove, conditionally on the Hardy–Littlewood conjecture on prime pairs, that the primes are characterized by unanticipated multiscale order.
S. Torquato +2 more
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Journal of Experimental Medicine, 2019 STING gain-of-function mutations cause lung disease and T cell cytopenia through unknown mechanisms. Here, we found that these mutants induce chronic activation of ER stress and unfolded protein response (UPR), leading to T cell death by apoptosis in the
Jianjun Wu +6 more
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On Fourier Coefficients of the Symmetric Square L-Function at Piatetski-Shapiro Prime Twins
Mathematics, 2021 Let Pc(x)={p≤x|p,[pc]areprimes},c∈R+∖N and λsym2f(n) be the n-th Fourier coefficient associated with the symmetric square L-function L(s,sym2f). For any A>0, we prove that the mean value of λsym2f(n) over Pc(x) is ≪xlog−A−2x for almost all c∈ε,(5+3)/8−ε ...
Xue Han, Xiaofei Yan, Deyu Zhang
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Hospital Pediatrics, 2017 “In God we trust, all others bring data.” This pithy quote from Edwards Deming, 1 of the fathers of quality improvement (QI), speaks to the centrality of data and measurement in QI. Early on hospitalists realized that QI in the hospital setting was key to their value proposition and return on investment strategy.
openaire +2 more sources
Mitochondrial DNA Stress Primes the Antiviral Innate Immune Response
Nature, 2014 Mitochondrial DNA (mtDNA) is normally present at thousands of copies per cell and is packaged into several hundred higher-order structures termed nucleoids.
A. West +19 more
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Explicit bounds for primes in arithmetic progressions [PDF]
, 2018 We derive explicit upper bounds for various functions counting primes in arithmetic progressions. By way of example, if $q$ and $a$ are integers with $\gcd(a,q)=1$ and $3 \leq q \leq 10^5$, and $\theta(x;q,a)$ denotes the sum of the logarithms of the ...
M. Bennett +3 more
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Unexpected biases in the distribution of consecutive primes [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2016 Significance Prime numbers play a central role in analytic number theory, and are well known to be very well distributed among the reduced residue classes (mod q).
Robert J. Lemke Oliver, K. Soundararajan
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