Publications related to General topology

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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

General topology

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Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Forward-reflected-backward method with variance reduction

Filter quotients and non-presentable (∞,1)-toposes

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

Learning convergence prediction of astrobots in multi-object spectrographs

A new elementary proof of the Prime Number Theorem

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

On the asymptotic optimality of spectral coarse spaces

Stretchable tubular device and use thereof as a counterpulsation device

Adaptation in Stochastic Algorithms: From Nonsmooth Optimization to Min-Max Problems and Beyond

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

Adaptation in Stochastic Algorithms: From Nonsmooth Optimization to Min-Max Problems and Beyond

Filter quotients and non-presentable (∞,1)-toposes

A new elementary proof of the Prime Number Theorem

On the asymptotic optimality of spectral coarse spaces

Stretchable tubular device and use thereof as a counterpulsation device

Forward-reflected-backward method with variance reduction

Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Learning convergence prediction of astrobots in multi-object spectrographs

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