Related papers: Note on the Chen-Lin result with Li-Zhang method
In this paper we present an effective method for computing certain real coefficients $\lambda_{n}$ which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of over three-thousand…
We prove the Aharoni Berger Conjecture
The paper deals with continuous solutions of a Schilling's problem.
Some Titchmarsh results following Gram's law are improved in this paper.
This paper refines the argument of Lehman by reducing the size of the constants in Turing's method. This improvement is given in Theorem 1 and scope for further improvements is also given. Analogous improvements to Dirichlet L-functions and…
We give a survey of some known and some new results about factors of different sorts of $q-$Fibonacci numbers.
In this paper we give an elementary proof for Bertrand's postulate also known as Bertrand-Chebyshev theorem.
A non-traditional proof of the Gregory-Leibniz series, based on the relationships among the zeta function, Bernoulli coefficients, and the Laurent expansion of the cotangent is given. New series for calculating pi are obtained.
We present an elementary proof for Ljunggren equation
We make some observation on the logarithmic version of K-stability.
We give a closed formula of the Littlewood-Richardson coefficients.
We prove a matrix inequality for matrix monotone functions, and apply it to prove a singular value inequality for Heinz means recently conjectured by X. Zhan.
In this paper, we consider the Carlitz's type q-analogue of Changhee numbers and polynomials and we give some explicit formulae for these numbers and polynomials.
We prove an improved form of an expectation of Polya and discuss several related questions
In connection to a conjecture of W. L\"u. Q. Li and C. Yang we prove a result on small function sharing by a power of a meromorphic function with few poles and its derivative. Our results improve a number of known results.
We present new, unified proofs for the cell-like, $\mathbb{Z}/p$-, and $\mathbb{Q}$-resolution theorems. Our arguments employ extensions that are much simpler then those used by our predecessors. The techniques allow us to solve problems…
We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.
Let $\overline{p}(n)$ denote the overpartition function. Liu and Zhang showed that $\overline{p}(a) \overline{p}(b)>\overline{p}(a+b)$ for all integers $a,b>1$ by using an analytic result of Engle. We offer in this paper a combinatorial…
In this paper, we find a new recurrence formula fo the Euler zeta functions.
We prove a recent conjecture by Ulas on reducible polynomial substitutions.