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Publications associées (7)

A new elementary proof of the Prime Number Theorem

Let

\Omega(n)

denote the number of prime factors of

n

. We show that for any bounded

f\colon\mathbb{N}\to\mathbb{C}

one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...

2021

Bile Acids Signal via TGR5 to Activate Intestinal Stem Cells and Epithelial Regeneration

Kristina Schoonjans, Alessia Perino, Maroun Bou Sleiman, Giovanni Sorrentino, Ece Yildiz, Gaby El Alam

BACKGROUND & AIMS: Renewal and patterning of the intestinal epithelium is coordinated by intestinal stem cells (ISCs); dietary and metabolic factors provide signals to the niche that control ISC activity. Bile acids (BAs), metabolites in the gut, signal nu ...

2020

Classification of Healthy and Cancer States of Colon Epithelial Tissues Using Opto-magnetic Imaging Spectroscopy

Marko Baros, Ivan Dimitrijevic

Colorectal carcinoma (CRC) as a major health problem in industrialized countries is highly preventable and can be successfully treated in the early stages. However, incidence and mortality of CRC has increased over the last two decades. The reason could be ...

2019

Role of Bcl9 and Bcl9l in Homeostasis, Regeneration and Tumorigenesis of the Gastrointestinal Epithelium

Norbert Wiedemann

Wnt signaling is essential for embryogenesis and adult tissue homeostasis and contributes to cancer development, especially in the colon. A new essential pathway component, legless, was identified in Drosophila melanogaster. Mice with Cre/loxP-mediated con ...

EPFL2011

Direct electric stimulation using a battery-operated device for induction and modulation of colonic contractions in pigs

Jean-Marc Vesin, Vincent Schlageter, Pavel Kucera, Mattia Bertschi

Direct electrical stimulation of the colon offers a promising approach for the induction of propulsive colonic contractions by using an implantable device. The objective of this study was to assess the feasibility to induce colonic contractions using a com ...

Springer Verlag2010

GDNF secreting human neural progenitor cells protect dying motor neurons, but not their projection to muscle, in a rat model of familial ALS

Patrick Aebischer

BACKGROUND: Amyotrophic lateral sclerosis (ALS) is a fatal, progressive neurodegenerative disease characterized by rapid loss of muscle control and eventual paralysis due to the death of large motor neurons in the brain and spinal cord. Growth factors such ...

Public Library of Science2007

Liver receptor homolog 1 contributes to intestinal tumor formation through effects on cell cycle and inflammation

Johan Auwerx, Kristina Schoonjans

Liver receptor homolog 1 (LRH-1) is an orphan nuclear receptor that synergizes with beta-catenin/T cell factor 4 signaling to stimulate intestinal crypt cell renewal. We evaluated here the impact of haploinsufficiency of LRH-1 on intestinal tumorigenesis b ...

2005

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A new elementary proof of the Prime Number Theorem

Florian Karl Richter

Let

\Omega(n)

denote the number of prime factors of

n

. We show that for any bounded

f\colon\mathbb{N}\to\mathbb{C}

one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...

2021