1 citations · 2 across the 5 of their papers we have counts for
6 papers
On the factorization of numbers of the form
Marc Wolf, François Wolf
We study the factorization of the numbers , where is a fixed constant, and this independently of the value of gcd. We prove the existence of a family of seque…
Almost all of the nontrivial zeros of the Riemann zeta-function are on the critical line
C. Dumitresc, M. Wolf
Applying Littlewood's lemma in connection to Riemann's Hypothesis and exploiting the symmetry of Riemann's function we show that almost all nontrivial Riemann's Zeta zeros are…
On the distribution of consecutive composite odd numbers and twin primes
Marc Wolf, FranÇOis Wolf, FranÇOis-Xavier Villemin
We study pairs of consecutive odd numbers through a straightforward indexing. We focus in particular on twin primes and their distribution. With a counting argument, we calculate t…
Primality test and primes enumeration using odd numbers indexation
Marc Wolf, François Wolf
Odd numbers can be indexed by the map k(n)=(n-3)/2, n belonging to 2N+3. We first propose a basic primality test using this index function that was first introduced in article (8).…
The Disproof of the Riemann Hypothesis
C. Dumitrescu, M. Wolf
We show that there is a contradiction between the Riemann's Hypothesis and some form of the theorem on the universality of the zeta function.
Calculation of extended gcd by normalization
Marc Wolf, François Wolf, Corentin Le Coz
We propose a new algorithm solving the extended gcd problem, which provides a solution minimizing one of the two coordinates. The algorithm relies on elementary arithmetic properti…