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We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

Probability · Mathematics 2014-04-01 Nathan Linial , Zur Luria

In this paper we give two theorems from the Propositional Calculus of the Boolean Logic with their consequences and applications and we prove them axiomatically.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

In this paper we consider some possible approaches to the proof of the Riemann Hypothesis using the Li criterion.

General Mathematics · Mathematics 2010-02-19 Donal F. Connon

In this note, we give a simple proof of the pointwise BMO estimate for Poisson's equation. Then the Calder\'{o}n-Zygmund estimate follows by the interpolation and duality.

Analysis of PDEs · Mathematics 2022-05-05 Yuanyuan Lian , Kai Zhang

We derive the Gallai-Edmonds Structure Theorem from Hall's Theorem.

Combinatorics · Mathematics 2007-05-23 Andrei Kotlov

We introduce a generalization of the method of S. P. Zaitsev. This generalization allows us to prove omega-theorems for the Riemann zeta function and its derivatives in some regions near the line $\mathrm{Re}\,s=1$.

Number Theory · Mathematics 2017-06-23 Alexander Kalmynin

In this paper we give a new proof of Riemann's well known mapping theorem. The suggested method permits to prove an analog of that theorem for the three dimensional case.

Complex Variables · Mathematics 2011-01-05 Ashot Vagharshakyan

A simple proof is given of the known fact that an m-times continuously differentiable function on the real line can be approximated along with its derivatives by an entire function and its respective derivatives.

Complex Variables · Mathematics 2019-08-15 Paul M. Gauthier , Julie Kienzle

The purpose of this note is to give an accessible proof of Moliens Theorem in Invariant Theory, in the language of today's Linear Algebra and Group Theory, in order to prevent this beautiful theorem from being forgotten.

General Mathematics · Mathematics 2017-01-18 Holger Schellwat

We give a simple proof that the first-order theory of well orders is axiomatized by transfinite induction, and that it is decidable.

Logic · Mathematics 2025-03-26 Emil Jeřábek

The aim of this paper is to present a very simple original, purely formal, proof of Quillen's adjunction theorem for derived functors, and of some more recent variations and generalizations of this theorem. This is obtained by proving an…

Algebraic Topology · Mathematics 2007-05-23 Georges Maltsiniotis

In this short note we give a proof of Liouville's theorem (every bounded entire complex function is constant) following Peterzil and Starchenko's approach to complex analysis via o-minimality.

Logic · Mathematics 2017-12-21 Pablo Cubides Kovacsics

We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.

Representation Theory · Mathematics 2014-05-09 Nicolas de Saxcé

We prove Burkholder inequality using Bregman divergence.

Probability · Mathematics 2022-04-15 Krzysztof Bogdan , Mateusz Więcek

We show that Pinney's equation [2] with a constant coefficient can be reduced to its linear part by a simple change of variables. Also, Pinney's original solution is simplified slightly.

Analysis of PDEs · Mathematics 2019-02-08 Philip Korman

We present here a simple proof of Brown's diagonalizability theorem for certain elements of the algebra of a left regular band, including probability measures.

Combinatorics · Mathematics 2010-10-06 Benjamin Steinberg

We present in this work a new and simple proof of the false centre theorem.

Metric Geometry · Mathematics 2021-10-28 Luis Montejano , Efren Morales-Amaya

We give a relatively easy proof of the Erd\H os-Kac theorem via computing moments. We show how this proof extends naturally in a sieve theory context, and how it leads to several related results in the literature.

Number Theory · Mathematics 2007-05-23 Andrew Granville , K. Soundararajan

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

Statistical Mechanics · Physics 2012-01-17 Ranjan Kumar Ghosh

In the paper the well known Riemann Hypothesis is proven. The proof is based on uniform approximation of the zeta function discs of the critical strip placed to the right from the critical line.The basic moment is a use of a new mesure…

General Mathematics · Mathematics 2015-03-17 Ilgar Sh. Jabbarov
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