Related papers: Note on the Chen-Lin result with Li-Zhang method

In this note, we show that Binomial theorem and Chu-Vandermonde convolution can both be verified by the finite difference method.

In this note we refine the alternativity in some bifurcation theorems of Rabinowitz type, and then improve a few of results in Lu (2022) [17].

In this paper we give an elementary proof of the Zariski-Lipman conjecture for log canonical spaces.

We provide a proof of the Borwein Conjecture using analytic methods.

In this paper, we first present simple proofs of Choi's results [4], then we give a short alternative proof for Fiedler and Markham's inequality [6]. We also obtain additional matrix inequalities related to partial determinants.

A proof of Sendov's conjecture is given.

We prove a new inequality for Gaussian processes, this inequality implies the Gordon-Chevet inequality. Some remarks on Gaussian proofs of Dvoretzky's theorem are given.

Inspired by a recent preprint of N. Curien, we provided what may be a new and elementary proof of the Law of Large Numbers.

We obtain simple proofs of certain inequalites for bivariate means.

In this paper we prove the Zariski-Lipman conjecture for log canonical spaces.

We prove a variation of Gronwall's lemma.

In this paper, we propose a generalization of a congruence due to Carlitz.

We present a simple inductive proof of the Lagrange Inversion Formula.

We provide a new characterization of the logarithmic Sobolev inequality.

We prove a result, similar to the ones known as Ishihara's First and Second Trick, for sequences of functions.

We resolve Manin's conjecture for all Ch\^atelet surfaces over $\mathbb{Q}$.

In this short note, we answer two questions of Chen and Ruzsa negatively and answer a problem of Ma and Chen affirmatively.

In this paper, we give a new proof of an arithmetic analogue of the Riemann-Roch Theorem, due originally to Serge Lang. Lang's result was first proved using the lattice point geometry of Minkowski. By contrast, our proof is completely…

In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.

In this paper, we introduce a new method to prove the Lickorish-Millett type formulae for colored HOMFLY-PT polynomials of links.