Results 51 to 60 of about 10,597,961 (334)

Moments of random multiplicative functions, II: High moments [PDF]

Algebra & Number Theory, 2018
We determine the order of magnitude of $\mathbb{E}|\sum_{n \leq x} f(n)|^{2q}$ up to factors of size $e^{O(q^2)}$, where $f(n)$ is a Steinhaus or Rademacher random multiplicative function, for all real $1 \leq q \leq \frac{c\log x}{\log\log x}$.
Adam J. Harper
semanticscholar   +1 more source

Characterizing epithelial‐mesenchymal transition‐linked heterogeneity in breast cancer circulating tumor cells at a single‐cell level

Molecular Oncology, EarlyView.
In over 50% of non‐metastatic breast cancer patients, circulating tumor cells (CTCs) along the whole epithelial‐mesenchymal transition spectrum are detected. Total CTC number and individual phenotypes relate to aggressive disease characteristics, including lymph node involvement and higher tumor proliferation. At the single‐cell level, mesenchymal CTCs
Justyna Topa, Julia Richert, Tomasz Stokowy, Alicja Staśczak, Mariusz Szajewski, Maciej Ciesielski, Petra M. Grešner, Bartłomiej Tomasik, Łukasz Arcimowicz, Agnieszka Stankiewicz, Grażyna Suchodolska, Elżbieta Senkus, Wiesław Kruszewski, Anna J. Żaczek, Aleksandra Markiewicz   +14 more
wiley   +1 more source

MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS [PDF]

Forum of Mathematics, Pi, 2017
We determine the order of magnitude of $\mathbb{E}|\sum _{n\leqslant x}f(n)|^{2q}$, where $f(n)$ is a Steinhaus or Rademacher random multiplicative function, and $0\leqslant q\leqslant 1$.
Adam J. Harper
semanticscholar   +1 more source

Multiple Gamma Functions and Multiple $q$-Gamma Functions

Publications of the Research Institute for Mathematical Sciences, 1997
We give an asymptotic expansion ( the higher Stirling formula ) and an infinite product representation ( the Weierstrass canonical product representation ) of the Vigneras multiple gamma functions by considering the classical limit of the multiple q
Kimio Ueno, Michitomo Nishizawa
openaire   +4 more sources

Aggressive prostate cancer is associated with pericyte dysfunction

Molecular Oncology, EarlyView.
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero, Ane Martinez‐Larrinaga, Joaquim Grego‐Bessa, Saioa Garcia‐Longarte, Hielke van Splunder, Ianire Astobiza, Amaia Ercilla, Laura Bozal‐Basterra, Isabel Mendizabal, Pilar Villacampa, Arkaitz Carracedo, Mariona Graupera   +11 more
wiley   +1 more source

A Weberized Total Variation Regularization-Based Image Multiplicative Noise Removal Algorithm

EURASIP Journal on Advances in Signal Processing, 2010
Multiplicative noise removal is of momentous significance in coherent imaging systems and various image processing applications. This paper proposes a new nonconvex variational model for multiplicative noise removal under the Weberized total variation ...
Xiao Liang, Huang Li-Li, Wei Zhi-Hui
doaj   +2 more sources

Exact solutions of the stochastic new coupled Konno-Oono equation

Results in Physics, 2021
In this paper we consider the stochastic Konno-Oono equation, which is forced by multiplicative noise. In order to find exact solutions of stochastic nonlinear Konno-Oono equations, generalized G′G-expansion method are implemented.
Wael W. Mohammed, Naveed Iqbal, Akbar Ali, Mahmoud El-Morshedy   +3 more
doaj   +1 more source

The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures [PDF]

Duke mathematical journal, 2017
Let $g_0,\dots,g_k: {\bf N} \to {\bf D}$ be $1$-bounded multiplicative functions, and let $h_0,\dots,h_k \in {\bf Z}$ be shifts. We consider correlation sequences $f: {\bf N} \to {\bf Z}$ of the form $$ f(a):= \widetilde{\lim}_{m \to \infty} \frac{1 ...
T. Tao, Joni Teravainen
semanticscholar   +1 more source

Glycosylated LGALS3BP is highly secreted by bladder cancer cells and represents a novel urinary disease biomarker

Molecular Oncology, EarlyView.
Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece, Giulio Lovato, Ilaria Cela, Arianna Mercatelli, Benedetta Ferro, Jussi Nikkola, Sara Pagotto, Tommaso Grottola, Vincenzo De Laurenzi, Rossella Cicchetti, Antonio Marchetti, Luigi Schips, Rossano Lattanzio, Stefano Iacobelli, Emily Capone, Peter Black, Mads Daugaard, Michele Marchioni, Gianluca Sala   +18 more
wiley   +1 more source

A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]

Mathematica Bohemica
A specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
doaj   +1 more source