Add to ORKGThe Riemann hypothesis, stating that the real part of all non-trivial zero points fo the zeta function must be $\frac{1}{2}$, is one of the most important unproven hypothesises in number theory. In this paper we will proof the Riemann hypothesis by using the integral representation $\zeta(s)=\frac{s}{s-1}-s\int_{1}^{\infty}\frac{x-\lfloor x\rfloor}{x^{s+1}}\,\text{d}x$ and solving the integral for the real part of the zeta function
The aim of our present work here is to present few results in the theory of Mellin transforms using ...
Theorem: The Riemann Hypothesis can be reworded to indicate that the real part of one half always ba...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...
The object of this paper is to give a proof of the conjecture made by Riemann in 1859 about the comp...
In this article, we will prove Riemann Hypothesis. The real and imaginary parts of Riemann zeta func...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
summary:We prove identities involving sums of Legendre and Jacobi polynomials. The identities are re...
summary:We prove identities involving sums of Legendre and Jacobi polynomials. The identities are re...
In this article, it is proved that the non-trivial zeros of the Riemann zeta function must lie on th...
AbstractWe deduce four new integral representations for ζ(2n+1),n∈N, where ζ(s) is the Riemann zeta ...
DoctoralIn this talk we first derive necessary conditions for a class of entire functions having onl...
In this note, we propose an integral representation for $\zeta(4)$, where $\zeta$ is the Riemann zet...
AbstractThe Riemann hypothesis is equivalent to the nonnegativity of a sequence of real constants {λ...
This paper studies the relationship between the prime divisor and Stirling’s approximation. We get t...
We present an unifying method to prove criteria for the Riemann Hypothesis involving the arithmetica...
The aim of our present work here is to present few results in the theory of Mellin transforms using ...
Theorem: The Riemann Hypothesis can be reworded to indicate that the real part of one half always ba...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...
The object of this paper is to give a proof of the conjecture made by Riemann in 1859 about the comp...
In this article, we will prove Riemann Hypothesis. The real and imaginary parts of Riemann zeta func...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
summary:We prove identities involving sums of Legendre and Jacobi polynomials. The identities are re...
summary:We prove identities involving sums of Legendre and Jacobi polynomials. The identities are re...
In this article, it is proved that the non-trivial zeros of the Riemann zeta function must lie on th...
AbstractWe deduce four new integral representations for ζ(2n+1),n∈N, where ζ(s) is the Riemann zeta ...
DoctoralIn this talk we first derive necessary conditions for a class of entire functions having onl...
In this note, we propose an integral representation for $\zeta(4)$, where $\zeta$ is the Riemann zet...
AbstractThe Riemann hypothesis is equivalent to the nonnegativity of a sequence of real constants {λ...
This paper studies the relationship between the prime divisor and Stirling’s approximation. We get t...
We present an unifying method to prove criteria for the Riemann Hypothesis involving the arithmetica...
The aim of our present work here is to present few results in the theory of Mellin transforms using ...
Theorem: The Riemann Hypothesis can be reworded to indicate that the real part of one half always ba...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...