Results 71 to 80 of about 769,013 (308)
Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis [PDF]
, 2022 We prove an explicit error term for the psi(x, chi) function assuming the Generalized Riemann Hypothesis. Using this estimate, we prove a conditional explicit bound for the number of primes in arithmetic progressions.Peer ...
Palojärvi, Neea +1 more
core +1 more source
Accurate and noninvasive prostate cancer detection using plasma‐derived extracellular vesicle RNA
FEBS Open Bio, EarlyView.Plasma extracellular vesicles were captured with WGA‐conjugated magnetic beads and profiled for RNA biomarkers. A three‐RNA panel (NM_024955, NR_047469, and NR_002564) distinguished prostate cancer from healthy controls and benign prostatic hyperplasia, supporting a simple, noninvasive approach to improve prostate cancer detection.
Hanping Wei, Haoran Wu, Wei Feng
wiley +1 more source
On a conjecture of Gowers and Wolf
Discrete Analysis, 2022 On a conjecture of Gowers and Wolf, Discrete Analysis 2022:10, 13 pp. Szemerédi's theorem asserts that for every $\delta>0$ and every positive integer $k$ there exists $n$ such that every subset $A$ of $\{1,2,\dots,n\}$ of size at least $\delta n ...
Daniel Altman
doaj +1 more source
Two conditional results about primes in short intervals [PDF]
, 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
IGF2 knockout reduces but does not abolish osteosarcoma growth in vitro and in vivo
FEBS Open Bio, EarlyView.To test whether endogenous IGF2 promotes osteosarcoma growth, IGF2 was knocked out in Saos2 cells via CRISPR‐Cas9. KO cells showed reduced proliferation in vitro, and knockout xenografts in mice reached only ~25% of wild‐type tumor volume. Insulin‐like growth factor 2 (IGF2) is implicated in osteosarcoma, but direct functional evidence of its role is ...
Shun Yao, Marco Archetti
wiley +1 more source
Evolutionary Psychology, 2019 Researchers have proposed that intergroup prejudice is partially caused by behavioral immune system mechanisms. Across four studies (total N = 1,849), we used both experimental (pathogen priming) and individual differences (pathogen disgust sensitivity ...
Tingting Ji +2 more
doaj +1 more source
Predicting Maximal Gaps in Sets of Primes
Mathematics, 2019 Let q > r ≥ 1 be coprime integers. Let P c = P c ( q , r , H ) be an increasing sequence of primes p satisfying two conditions: (i) p ≡ r (mod q) and (ii) p starts a prime k-tuple with a given pattern H ...
Alexei Kourbatov, Marek Wolf
doaj +1 more source
New bound for Roth's theorem with generalized coefficients
Discrete Analysis, 2022 New bound for Roth's theorem with generalized coefficients, Discrete Analysis 2022:16, 21 pp. Roth's theorem states that for every $\delta>0$ there exists $n$ such that every subset of $\{1,2,\dots,n\}$ of size at least $\delta n$ contains an arithmetic
Cédric Pilatte
doaj +1 more source
Integers represented as a sum of primes and powers of two [PDF]
, 2002 It is shown that every sufficiently large even integer is a sum of two primes and exactly 13 powers of 2. Under the Generalized Rieman Hypothesis one can replace 13 by 7.
Heath-Brown, D. R. +4 more
core +1 more source
FEBS Open Bio, EarlyView.Student engagement extends beyond simple attendance. Across 891 bioscience students from three universities, attendance behaviour was associated mainly with structural influences, whereas classroom spatial behaviour reflected affective and sensory factors.
Nigel Page +4 more
wiley +1 more source