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

This paper presents a new formula for the q-shift operator, building on the techniques by Liu and Sears. This formula provides fresh proof of the Carlitz formula and extends it naturally. As applications, we derive an equivalent form of the…

A detailed discussion of the Krein's results (applicable for solving the inverse scattering problem) is given with complete proofs.

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature.…

We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.

In this note we prove the Weinstein conjecture for a class of symplectic manifolds including the uniruled manifolds based on Liu-Tian's result.

We announce numerous new results in the theory of orthogonal polynomials on the unit circle.

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

In this paper we consider some possible approaches to the proof of the Riemann Hypothesis using the Li criterion.

We give a new proof of the existence of designs, which is much shorter and gives better bounds.

This review article brings forth some recent results in the theory of the Riemann zeta-function $qzeta(s)$.

This short note provides a new and simple proof of the convergence rate for Peng's law of large numbers under sublinear expectations, which improves the corresponding results in Song [15] and Fang et al. [3].

We give a new proof of a theorem of B.M. Bredihin which was originally proved by extending Linnik's solution, via his dispersion method, of a problem of Hardy and Littlewood.

In this paper, we present a short proof of Halin's grid theorem.

We prove a Lucas-type congruence for q-Delannoy numbers.

An technically interesting proof of a known theorem.

Standard proofs of Lusin's theorem, using simple functions, are sometimes quite elaborate. Here, we give a one-sentence proof of Lusin's theorem. We do not believe our approach, by way of inverse images, is new. However, this particular…

We prove a version of adelic descent for continuous localizing invariants.

An introduction is given to the Littlewood-Richardson rule, and various combinatorial constructions related to it. We present a proof based on tableau switching, dual equivalence, and coplactic operations. We conclude with a section…

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 Burkholder inequality using Bregman divergence.