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, 24 and 25) 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 1, 13, 15, 17, 20 and 23.
- Additive number theory: see my articles 7, 9, 19 and 21.
- Kempner's series: see my article 18.
- Fibonacci numbers: see my articles 2, 6 and 11.
- Perfect numbers: see my article 3 (detailled in 3 bis).
- Diophantine approximations: see my articles 5 and 12.
- Arithmetic functions and sequences of integers: see my articles 10 and 14.
- Prime numbers: see my article 16.
- Equidistribution modulo 1: see my article 22.
- Primitive sequences: see my article 4.
- Mean functions: see my article 8 (detailled in 8 bis).
- Integer-valued polynomials: see my article 1.