Add to ORKGDenote by $\zeta$ the Riemann zeta function and let $\Theta$ be the supremum of the real parts of its zeros. We demonstrate in this note that $\Theta \geq \frac{3}{4}$. This disproves the Riemann hypothesis, which asserts that $\Theta = \frac{1}{2}$.Comment: This manuscript is four pages long, and will probably be the final paper in my study of the Riemann Hypothesis. Though all of my previous proposed (dis)proofs were flawed, i think the flaws pointed me towards the right direction. P.S.: The latest version makes the proof of Theorem 2 more rigorous, and corrects a few grammatical typos in the previous versio
We establish limitations to how well one can mollify the Riemann zeta-function on the critical line ...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
For any real a > 0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. Fo...
Here, we put forth two different proofs for the Riemann hypothesis. The first one is presented by us...
AbstractFor any real a>0 we determine the supremum of the real σ such that ζ(σ+it)=a for some real t...
AbstractIf λ(0) denotes the infimum of the set of real numbers λ such that the entire function Ξλ re...
Assuming an averaged form of Mertens' conjecture and that the ordinates of the non-trivial zeros of ...
We assume the Riemann Hypothesis in this paper. We settle a conjecture of Farmer and Ki in a stronge...
AbstractFor every positive integer n, let Xn′ be the set of primitive Dirichlet characters modulo n....
In this article, we will prove Riemann Hypothesis. The real and imaginary parts of Riemann zeta func...
We assume the Riemann Hypothesis in this paper. We settle a conjecture of Farmer and Ki in a stronge...
Improving earlier work of Balasubramanian, Conrey and Heath-Brown [1], we obtain an asymptotic formu...
AbstractWe introduce a new mollifier and apply the method of Levinson and Conrey to prove that at le...
We establish limitations to how well one can mollify the Riemann zeta-function on the critical line ...
We establish limitations to how well one can mollify the Riemann zeta-function on the critical line ...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
For any real a > 0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. Fo...
Here, we put forth two different proofs for the Riemann hypothesis. The first one is presented by us...
AbstractFor any real a>0 we determine the supremum of the real σ such that ζ(σ+it)=a for some real t...
AbstractIf λ(0) denotes the infimum of the set of real numbers λ such that the entire function Ξλ re...
Assuming an averaged form of Mertens' conjecture and that the ordinates of the non-trivial zeros of ...
We assume the Riemann Hypothesis in this paper. We settle a conjecture of Farmer and Ki in a stronge...
AbstractFor every positive integer n, let Xn′ be the set of primitive Dirichlet characters modulo n....
In this article, we will prove Riemann Hypothesis. The real and imaginary parts of Riemann zeta func...
We assume the Riemann Hypothesis in this paper. We settle a conjecture of Farmer and Ki in a stronge...
Improving earlier work of Balasubramanian, Conrey and Heath-Brown [1], we obtain an asymptotic formu...
AbstractWe introduce a new mollifier and apply the method of Levinson and Conrey to prove that at le...
We establish limitations to how well one can mollify the Riemann zeta-function on the critical line ...
We establish limitations to how well one can mollify the Riemann zeta-function on the critical line ...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...