相关论文: An infinitary generalization of the Brauer-Schur t…
We give a purely combinatorial proof for the infinitary van der Waerden's theorem.
We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.
We give a purely combinatorial proof for a two-fold generalization of van der Waerden-Brauer's theorem and Hindman's theorem. We also give tower bounds for a finite version of it.
We prove several extensions of the Erdos-Fuchs theorem.
In this paper, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem.
We give a new proof of Tietze Theorem on the convergence of infinite semi-regular continued fractions.
We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.
We generalize Romanoff's theorem. Also, we obtain a result on sums related to Euler's totient function.
A simple proof of Egorov's theorem for infinite measure is given
In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.
We prove some new results related to Tanaka's formula.
We show a new large sieve version of the Brun-Titchmarsh theorem.
We give a proof of an infinitary version of the well known Hales-Jewett theorem on finite words avoiding the use of ultrafilters.
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
We prove the Aharoni Berger Conjecture
We prove a generalization of Istvan F\'ary's celebrated theorem to higher dimension.
A generalization of the law of total covariance is presented and proved.
I give a simpler proof of the generalisation of Engel's Theorem to Leibniz algebras.
We present a short and self-contained proof of the choosability version of Brooks' theorem.
We prove Sklar's theorem in infinite dimensions via a topological argument and the notion of inverse systems.