Catégorie

Théorie des nombres

Graph Chatbot

Chattez avec Graph Search

Posez n’importe quelle question sur les cours, conférences, exercices, recherches, actualités, etc. de l’EPFL ou essayez les exemples de questions ci-dessous.

AVERTISSEMENT : Le chatbot Graph n'est pas programmé pour fournir des réponses explicites ou catégoriques à vos questions. Il transforme plutôt vos questions en demandes API qui sont distribuées aux différents services informatiques officiellement administrés par l'EPFL. Son but est uniquement de collecter et de recommander des références pertinentes à des contenus que vous pouvez explorer pour vous aider à répondre à vos questions.

Connectez-vous pour utiliser Chat avec Graph Search

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

A decomposition of multicorrelation sequences for commuting transformations along primes

Florian Karl Richter

A decomposition of multicorrelation sequences for commuting transformations along primes, Discrete Analysis 2021:4, 27 pp. Szemerédi's theorem asserts that for every positive integer

k

and every

\delta>0

there exists

n

such that every subset of ${1, ...

2021

Théorie des nombres

Graph Chatbot

Chattez avec Graph Search

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

A decomposition of multicorrelation sequences for commuting transformations along primes

A new elementary proof of the Prime Number Theorem

Additive and geometric transversality of fractal sets in the integers

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

On Proving and Disproving Equivalence of Functional Programming Assignments

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

Exploring residential preferences before and during the first COVID-19 lockdown in Switzerland

Demography of galactic technosignatures

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

A new elementary proof of the Prime Number Theorem

On Proving and Disproving Equivalence of Functional Programming Assignments

A decomposition of multicorrelation sequences for commuting transformations along primes

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

Additive and geometric transversality of fractal sets in the integers

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

Exploring residential preferences before and during the first COVID-19 lockdown in Switzerland

Demography of galactic technosignatures