相关论文: A proof of Sendov's conjecture

We illustrate the concept of mathematical proof.

Based on various strategies, we obtain several simple proofs of the celebrated Sharkovsky cycle coexistence theorem.

This note contains a new combinatorial proof of Cramer's rule based on the Gessel-Viennot-Lindstrom Lemma.

Here we outline a proof for the 4-dimensional smooth Poincare Conjecture.

Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.

These are some notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel).

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

In this paper we study a particular class of polynomials. We study the distribution of their zeros, including the zeros of their derivatives as well as the interaction between this two. We prove a weak variant of the sendov conjecture in…

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

We present a new, elementary, dynamical proof of the prime number theorem.

In this paper, we proved the normal scalar curvature conjecture and the Bottcher-Wenzel conjecture.

In this paper we show an index theorem for gerbes

We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three. This will be a consequence of a sharp decoupling inequality for curves

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 prove a version of adelic descent for continuous localizing invariants.

We give counterexamples to Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients.

In the paper we complete a case by case proof of Reeder's Conjecture started in our previous work, proving the conjecture for simple Lie algebras of type $D$ and for the exceptional cases.

This article contains the proof of a theorem on orthogonal-Pin duality that was cited without proof in a previous article in this journal.

We prove a combination theorem for PD(n)-pairs.

In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.