Research in Number Theory:
- Diophontine Approximation
- Additive Number Theory
- Combinatorial Number Theory
- Analytic Number Theory
I am an algerian mathematician. My principal research interest is the Number
Theory.
I obtained my PhD Thesis at the University of Paris VI in 2003. My thesis
(see T, 23 and 24) is entitled Diophantine approximations on the algebraic commutative groups.
Outside my thesis work, my research has been foccused on the following topics:
- Least common multiple: see my articles 12, 14, 16, 19 and 22.
- Additive number theory: see my articles 6, 8, 18 and 20.
- Kempner's series: see my article 17.
- Fibonacci numbers: see my articles 1, 5 and 10.
- Perfect numbers: see my article 2 (detailled in 2 bis).
- Diophantine approximations: see my articles 4 and 11.
- Arithmetic functions and sequences of integers: see my articles 9 and 13.
- Prime numbers: see my article 15.
- Equidistribution modulo 1: see my article 21.
- Primitive sequences: see my article 3.
- Mean functions: see my article 7 (detailled in 7 bis).