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
Bounds For The Tail Distribution Of The Sum Of Digits Of Prime Numbers
, 2012 Let s_q(n) denote the base q sum of digits function, which for ...
Naslund, Eric
core
Plecstatin inhibits hepatocellular carcinoma tumorigenesis and invasion through cytolinker plectin
Molecular Oncology, EarlyView.The ruthenium‐based metallodrug plecstatin exerts its anticancer effect in hepatocellular carcinoma (HCC) primarily through selective targeting of plectin. By disrupting plectin‐mediated cytoskeletal organization, plecstatin inhibits anchorage‐dependent growth, cell polarization, and tumor cell dissemination.
Zuzana Outla +10 more
wiley +1 more source
Therapeutic strategies for MMAE‐resistant bladder cancer through DPP4 inhibition
Molecular Oncology, EarlyView.We established monomethyl auristatin E (MMAE)‐resistant bladder cancer (BC) cell lines by exposure to progressively increasing concentrations of MMAE in vitro. RNA sequencing showed DPP4 expression was increased in MMAE‐resistant BC cells. Both si‐DPP4 and the DPP4 inhibitor sitagliptin suppressed the viability of MMAE‐resistant BC cells.
Gang Li +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
Generalization of Bertrand's Postulate for Gaussian Primes
, 2019 Bertrand's Postulate states about the prime distribution for the real numbers. The generalization of Bertrand's Postulate was proved by Das et al. [Arxiv 2018].
Das, Madhuparna
core
Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity
Molecular Oncology, EarlyView.Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung +17 more
wiley +1 more source
Variants on Andrica’s Conjecture with and without the Riemann Hypothesis
Mathematics, 2018 The gap between what we can explicitly prove regarding the distribution of primes and what we suspect regarding the distribution of primes is enormous. It is (reasonably) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s ...
Matt Visser
doaj +1 more source
Molecular Oncology, EarlyView.This study shows that copy number variations (CNVs) can be reliably detected in formalin‐fixed paraffin‐embedded (FFPE) solid cancer samples using ultra‐low‐pass whole‐genome sequencing, provided that key (pre)‐analytical parameters are optimized.
Hanne Goris +10 more
wiley +1 more source