Related papers: A proof of the Graham Sloane conjecture
A proof is given of Rosenthal's \(\ell_1\) theorem.
We prove an infinitary version of the Brauer-Schur theorem.
We will prove the Brannan conjecture for particular values of the parameter. The basic tool of the study is an integral representation published in a recent work [3].
We prove the Milnor conjecture for Lie groups and the Friedlander conjecture for complex algebraic Lie groups.
This paper presents a proof of Gallai's Theorem, adapted from A. Soifer's presentation in The Mathematical Coloring Book of E. Witt's 1952 proof of Gallai's Theorem.
We prove a Green--Tao theorem for multiplicative functions.
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.
We give a new proof of Chen-Lin result with Li-Zhang method.
I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.
Here we outline a proof for the 4-dimensional smooth Poincare Conjecture.
We survey recent developments on the Restriction conjecture.
We prove via a composition lemma, the Kotzig-Ringel-Rosa conjecture, better known as the Graceful Labeling Conjecture. We also prove via a stronger version of the composition lemma a stronger form of the Graceful Labeling Conjecture.
We give a rigorous proof for the linear stability of the Skyrmion. In addition, we provide new proofs for the existence of the Skyrmion and the GGMT bound.
Recently, Straub gave an interesting $q$-analogue of a binomial congruence of Ljunggren. In this note we give an inductive proof of his result.
We announce here that Fermat's Last theorem was solved, but there is an easy proof of it on the basis of elemetary undergraduate mathematics. We shall disclose such an easy proof.
The authors study the classical Lagrange inversion theorem--an antecedent of the modern implicit function theorem--in the smooth case. Examples are given to show that the result is sharp.
We provide a short proof of the 1-dimensional flat chain conjecture.
We introduce a new criterion which if satisfied implies the Riemann hypothesis.
We provide two new proofs of the infinitude of prime numbers, using the additive Ramsey-theoretic result known as Folkman's theorem (alternatively, one can think of these proofs as using Hindman's theorem). This adds to the existing…
We give a short, geometric proof of Graham's theorem on positivity in the equivariant cohomology of a flag variety, based on a transversality argument.