8 citations · 10 across the 5 of their papers we have counts for
6 papers
New results on the least common multiple of consecutive integers
Bakir Farhi, Daniel Kane
When studying the least common multiple of some finite sequences of integers, the first author introduced the interesting arithmetic functions , defined b…
A simple proof that any additive basis has only finitely many essential subsets
Bakir Farhi
Let be an additive basis. We call ``essential subset'' of any finite subset of such that is not an additive basis and that is minimal (for the i…
A curious result related to Kempner's series
Bakir Farhi
It is well known since A. J. Kempner's work that the series of the reciprocals of the positive integers whose the decimal representation does not contain any digit 9, is convergent…
Nontrivial lower bounds for the least common multiple of some finite sequences of integers
Bakir Farhi
We present here a method which allows to derive a nontrivial lower bounds for the least common multiple of some finite sequences of integers. We obtain efficient lower bounds (whic…
Essentialité dans les bases additives
Bruno Deschamps, Bakir Farhi
In this article we study the notion of essential subset of an additive basis, that is to say the minimal finite subsets of a basis such that doesn't remains…
Formulas giving prime numbers under Cramér's conjecture
Bakir Farhi
Under Cramér's conjecture concerning the prime numbers, we prove that for any , there exists a real for which the formula (where denotes the intege…