Publications related to Mathematical proof

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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

Mathematical proof

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Entering the plasma agriculture field: An attempt to standardize protocols for plasma treatment of seeds

All-polymeric transient neural probe for prolonged in-vivo electrophysiological recordings

Il demone dell'analogia: Ovvero affinità e divergenze fra il compagno aristotele e noi

Critical role of H-aggregation for high-efficiency photoinduced charge generation in pristine pentamethine cyanine salts

Proof Of Concept Of A Graphene-Based Resonant Accelerometer

Local invertibility and sensitivity of atomic structure-feature mappings

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A new elementary proof of the Prime Number Theorem

On Proving and Disproving Equivalence of Functional Programming Assignments

Moving toward mass-conserving simulations of plasma turbulence and kinetic neutrals in the tokamak boundary with the GBS code

Proof Of Concept Of A Graphene-Based Resonant Accelerometer

Critical role of H-aggregation for high-efficiency photoinduced charge generation in pristine pentamethine cyanine salts

All-polymeric transient neural probe for prolonged in-vivo electrophysiological recordings

Il demone dell'analogia: Ovvero affinità e divergenze fra il compagno aristotele e noi

Entering the plasma agriculture field: An attempt to standardize protocols for plasma treatment of seeds

A new elementary proof of the Prime Number Theorem

Local invertibility and sensitivity of atomic structure-feature mappings

On Proving and Disproving Equivalence of Functional Programming Assignments

Nanoscale Pattern Extraction from Relative Positions of Sparse 3D Localizations

Moving toward mass-conserving simulations of plasma turbulence and kinetic neutrals in the tokamak boundary with the GBS code