Related papers: A Counting Proof of the Graham Pollak Theorem
We give a short direct proof of Agler's factorization theorem that uses the abstract characterization of operator algebras. the key ingredient of this proof is an operator algebra factorization theorem. Our proof provides some additional…
We give a geometric proof of a conjecture of W. Fulton on the multiplicities of irreducible representations in a tensor product of irreducible representations for GL(r).
We give a short and relatively elementary proof of the Hilton-Milner Theorem.
We give a new simpler proof of a theorem of Jayne and Rogers.
We prove the Aharoni Berger Conjecture
We provide yet another proof of the classical Lagrange-Good multivariable inversion formula using techniques of quantum field theory.
We prove an infinitary version of the Brauer-Schur theorem.
We present a simple short proof of the Fundamental Theorem of Algebra, without complex analysis and with a minimal use of topology. It can be taught in a first year calculus class.
We present two geometric proofs of the Kochen-Specker theorem. A quite similar argument has been used by Cooke, Keane, and Moran, as well as by Kalmbach in her book to derive the Gleason theorem.
We show that Isserlis' theorem follows as a corollary to the invariant tensor theorem for isotropic tensors.
This paper presents some considerations about the Goldbach's conjecture (GC). The work is based on elementary results of the number theory and it provides a constructive method that permits, given an even integer, to find at least a pair of…
We construct a De Morgan algebra-valued logic with quantifiers, where the truth values are in a finite De Morgan algebra, We show that there is a representation theorem of the cylindric algebra of this logic from which a completeness…
We prove De Giorgi-Nash-Moser Theory using a geometric approach.
We give here a new proof of a Tauberian Theorem of complex Laplace transform using the Theory of measure and theory of function with bounded variations. However we deduce the simple proof of Prime Number Theorem.
This is an exposition of Gauss's proof of Descartes's rule of signs.
We survey the classical results of the Dirichlet Approximation Theorem.
A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.
Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.
We prove some theorems which give sufficient conditions for the existence of prime numbers among the terms of a sequence which has pairwise relatively prime terms.
Greenberg proved that every countable group $A$ is isomorphic to the automorphism group of a Riemann surface, which can be taken to be compact if $A$ is finite. We give a short and explicit algebraic proof of this for finitely generated…