Results 181 to 190 of about 1,625,058 (297)

Character Sums and the Riemann Hypothesis [PDF]

arXiv
We prove that an innocent looking inequality implies the Riemann Hypothesis and show a way to approach this inequality through sums of Legendre symbols.
arxiv  

Jensen polynomials are not a plausible route to proving the Riemann Hypothesis [PDF]

Advances in Mathematics, 2020
D. Farmer
semanticscholar   +1 more source

From the 1-2-3 conjecture to the Riemann hypothesis [PDF]

European journal of combinatorics (Print), 2020
J. Grytczuk
semanticscholar   +1 more source

On Recent Strategies Proposed for Proving the Riemann Hypothesis [PDF]

, 2003
E. Elizalde, Valter Moretti, Sergio Zerbini   +2 more
openalex   +1 more source

Möbius convolutions and the Riemann hypothesis

International Journal of Mathematics and Mathematical Sciences, 2005
Luis Báez-Duarte
doaj   +1 more source

Spectral analysis and the Riemann hypothesis [PDF]

, 2003
Gilles Lachaud
openalex   +1 more source

Note for the Riemann Hypothesis

Let $\Psi(n) = n \cdot \prod_{q \mid n} \left(1 + \frac{1}{q} \right)$ denote the Dedekind $\Psi$ function where $q \mid n$ means the prime $q$ divides $n$. Define, for $n \geq 3$; the ratio $R(n) = \frac{\Psi(n)}{n \cdot \log \log n}$ where $\log$ is the natural logarithm. Let $N_{n} = 2 \cdot \ldots \cdot q_{n}$ be the primorial of order $n$.
openaire   +1 more source

A Reformulation of the Riemann Hypothesis

, 2020
We present some novelties on the Riemann zeta function. Using the analytic continuation we created for the polylogarithm, $\mathrm{Li}_{k}(e^{m})$, we extend the zeta function from $\Re(k)>1$ to the complex half-plane, $\Re(k)>0$, by means of the Dirichlet eta function. More strikingly, we offer a reformulation of the Riemann hypothesis through a
openaire   +3 more sources

Properties of a Linear Operator Involving Lambert Series and Rabotnov Function

International Journal of Mathematics and Mathematical Sciences
This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σn to introduce a normalized ...
Jamal Salah
doaj   +1 more source

A sequential Riesz-like criterion for the Riemann hypothesis

International Journal of Mathematics and Mathematical Sciences, 2005
Luis Báez-Duarte
doaj   +1 more source