Results 71 to 80 of about 14,932 (263)
Distribution of Square-Prime Numbers
Missouri Journal of Mathematical Sciences, 2022 For $a \neq 1$ and $p$ prime, we define numbers of the form $pa^2$ to be Square-Prime (SP) Numbers. For example, 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numbers are listed in the OEIS as A228056. We study the properties of these numbers, their distribution/density and also develop a few claims on their distribution/density.
openaire +2 more sources
Molecular Oncology, EarlyView.Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
Evasiveness and the Distribution of Prime Numbers
CoRR, 2010 12 pages (conference version for STACS 2010)
László Babai +3 more
openaire +4 more sources
Molecular Oncology, EarlyView.Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau +8 more
wiley +1 more source
Equations for a potential algebraic approach to the twin prime conjecture. Addendum to: "On the numbers that determine the distribution of twin primes" [PDF]
Surveys in Mathematics and its ApplicationsThis is an Addendum to: Article: On the numbers that determine the distribution of twin primes Author: Antonie Dinculescu Published in: Surveys in Mathematics and its Applications, 13 (2018), 171–181. Full text:
Antonie Dinculescu
doaj
Different Approaches to the Distribution of Primes [PDF]
Milan Journal of Mathematics, 2010 The author gives both a survey of the classic history, for the study of prime numbers, and a glimpse into a very recent approach to the distribution of primes, namely, a more elementary study based on the concept of ``pretentiousness'', among multiplicative functions (namely, functions \(f\) such that \(f(mn)=f(m)f(n)\), for all coprime natural numbers
openaire +1 more source
KDM7A and KDM1A inhibition suppresses tumour promoting pathways in prostate cancer
Molecular Oncology, EarlyView.Treatment resistance is a major challenge for patients with advanced prostate cancer. This study examined an alternative approach to target the major prostate cancer‐promoting pathway by targeting epigenetic factors, whose levels are higher in tumours.
Jennie N Jeyapalan +16 more
wiley +1 more source
Molecular Oncology, EarlyView.CIN85 is highly expressed in osteosarcoma, particularly in metastatic lesions. Its overexpression increases cell migration and Matrigel invasion, while silencing CIN85 suppresses these behaviors. Transcriptome analysis shows that CIN85 regulates MMP2, COL3A1, and Akt/mTOR signaling. Targeting these pathways reverses CIN85‐induced motility, highlighting
Iryna Horak +10 more
wiley +1 more source
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$
Forum of Mathematics, PiWe prove new large sieve inequalities for the Fourier coefficients $\rho _{j\mathfrak {a}}(n)$ of exceptional Maass forms of a given level, weighted by sequences $(a_n)$ with sparse Fourier transforms – including two key types of sequences ...
Alexandru Pascadi
doaj +1 more source
On a Dynamical Approach to Some Prime Number Sequences
Entropy, 2018 We show how the cross-disciplinary transfer of techniques from dynamical systems theory to number theory can be a fruitful avenue for research. We illustrate this idea by exploring from a nonlinear and symbolic dynamics viewpoint certain patterns ...
Lucas Lacasa +3 more
doaj +1 more source