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, 25 and 26) 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 2, 14, 16, 18, 21 and 24.
- Additive number theory: see my articles 8, 10, 20 and 22.
- Kempner's series: see my article 19.
- Fibonacci and Lucas numbers (with their generalizations): see my articles 1, 3, 7 and 12.
- Perfect numbers: see my article 4 (detailled in 4 bis).
- Diophantine approximations: see my articles 6 and 13.
- Arithmetic functions and sequences of integers: see my articles 11 and 15.
- Prime numbers: see my article 17.
- Equidistribution modulo 1: see my article 23.
- Primitive sequences: see my article 5.
- Mean functions: see my article 9 (detailled in 9 bis).
- Integer-valued polynomials: see my article 2.