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

In this note we obtain a new convergence result for the Adomian decomposition method.

In this paper, we will give a new proof for a known result of the mean square of Riemann zeta-function.

In this note we prove a weighted version of the Khintchine inequalities.

In the paper based on the question of Zhang and L\"{u}[15], we present one theorem which will improve and extend the results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].

We obtain some new inequalities of Chebyshev Type.

We give a new proof of Lucas' Theorem in elementary number theory.

In this paper, by making use of one of Chen's theorems and the method of mathematical analysis, we refine Edwards-Child's inequality and solve a conjecture posed by Liu.

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.

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

We give a new simpler proof of a theorem of Jayne and Rogers.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

We give a new proof of a lemma by L. Shepp, that was used in connection to random coverings of a circle.

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

We prove an explicit Chinese Remainder Theorem for one variable polynomials with complex coefficients, and derive some consequences.

We obtained a new formula for $\pi$.

New version, including a variant of Quillen's proof of the Solomon-Tits theorem.

In this paper, we give a new and short proof of a Theorem on k-hypertournament losing scores due to Zhou et al.[7].