Add to ORKG7 pages an important transmission misprint fixed on Cramer conjectureNicolas criterion for the Riemann Hypothesis is based on an inequality that Euler totient function must satisfy at primorial numbers. A natural approach to derive this inequality would be to prove that a specific sequence related to that bound is strictly decreasing. We show that, unfortunately, this latter fact would contradict Cramér conjecture on gaps between consecutive primes. An analogous situation holds when replacing Euler totient by Dedekind $\Psi$ function
The Riemann hypothesis has been considered the most important unsolved problem in mathematics. Robin...
The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the nega...
AbstractLetG(X) denote the largest gap between consecutive primes belowX. Improving earlier results ...
7 pages an important transmission misprint fixed on Cramer conjectureNicolas criterion for the Riema...
For every prime number $p_{n}$, we define the sequence $X_{n} = \frac{\prod_{q \mid N_{n}} \frac{q}{...
For every prime number $p_{n}$, we define the sequence $X_{n} = \prod_{q \leq p_{n}} \frac{q}{q-1} -...
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros ...
For every prime number $q_{n}$, we define the inequality $\prod_{q \leq q_{n}} \frac{q}{q-1} > e^{\g...
7 pages, new proposition 3, many correctionsLet $\mathcal{P}$ be the set of all primes and $\psi(n)=...
In 1962, Rosser and Schoenfeld asked whether there were infinitely many natural numbers n for which ...
The Riemann hypothesis has been considered the most important unsolved problem in pure mathematics. ...
The Riemann hypothesis has been considered to be the most important unsolved problem in pure mathema...
International audienceFor n > 1, let G(n) = sigma(n)/(n log log n), where sigma(n) is the sum of the...
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros ...
The Riemann hypothesis has been considered the most important unsolved problem in mathematics. Robin...
The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the nega...
AbstractLetG(X) denote the largest gap between consecutive primes belowX. Improving earlier results ...
7 pages an important transmission misprint fixed on Cramer conjectureNicolas criterion for the Riema...
For every prime number $p_{n}$, we define the sequence $X_{n} = \frac{\prod_{q \mid N_{n}} \frac{q}{...
For every prime number $p_{n}$, we define the sequence $X_{n} = \prod_{q \leq p_{n}} \frac{q}{q-1} -...
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros ...
For every prime number $q_{n}$, we define the inequality $\prod_{q \leq q_{n}} \frac{q}{q-1} > e^{\g...
7 pages, new proposition 3, many correctionsLet $\mathcal{P}$ be the set of all primes and $\psi(n)=...
In 1962, Rosser and Schoenfeld asked whether there were infinitely many natural numbers n for which ...
The Riemann hypothesis has been considered the most important unsolved problem in pure mathematics. ...
The Riemann hypothesis has been considered to be the most important unsolved problem in pure mathema...
International audienceFor n > 1, let G(n) = sigma(n)/(n log log n), where sigma(n) is the sum of the...
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros ...
The Riemann hypothesis has been considered the most important unsolved problem in mathematics. Robin...
The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the nega...
AbstractLetG(X) denote the largest gap between consecutive primes belowX. Improving earlier results ...