Facteurs premiers des coefficients binomiaux
Factor tables 1657–1817, with notes on the birth of number theory
The history of the construction, organisation and publication of factor tables from 1657 to 1817, in itself a fascinating story, also touches upon many topics of general interest for the history of mathematics. The considerable labour involved in constructing and correcting these tables has pushed mathematicians and calculators to organise themselves in networks. Around 1660 J. Pell was the first to motivate others to calculate a large factor table, for which he saw many applications, from Diophantine...
Factoring integers with large-prime variations of the quadratic sieve.
"Factorisatio numerorum" in arithmetical semigroups
Factorization problems in class number two
Factorizations of distinct lengths in algebraic number fields
Farey fractions with prime denominator and the large sieve
Farey fractions with prime denominators
Farey series and the Riemann hypothesis
Fast-Primzahlen in kurzen Intervallen.
Finding almost squares
Finding almost squares. II.
Finding almost squares. V.
Finite abelian groups and factorization problems
Finite abelian groups and factorization problems. II
Flat cyclotomic polynomials of order four and higher.
Fonction sommatoire de la fonction de Möbius, 3. Majorations asymptotiques effectives fortes
On établit les majorations , valable pour qui est la meilleure majoration possible en valable pour tout , et d’autres analogues. On montre enfin comment trouver des majorations effectives pour tout .
Fonctions arithmétiques multiplicatives et multiplicateurs de Fourier. II
Fonctions associées aux produits eulériens
Fonctions digitales le long des nombres premiers
In a recent work we gave some estimations for exponential sums of the form , where Λ denotes the von Mangoldt function, f a digital function, and β a real parameter. The aim of this work is to show how these results can be used to study the statistical properties of digital functions along prime numbers.