77 citations · 223 across the 13 of their papers we have counts for
15 papers
Some Results on Generalized Multiplicative Perfect Numbers
Alexandre Laugier, Manjil P. Saikia, Upam Sarmah
In this article, based on ideas and results by J. Sándor (2001, 2004), we define -multiplicatively -perfect numbers and -multiplicatively -superperfect numbers and prov…
Some results about Linear Recurrence Relation Homomorphisms
Alexandre Laugier, Manjil P. Saikia
In this paper we propose a definition of a recurrence relation homomorphism and illustrate our definition with a few examples. We then define the period of a k-th order of linear r…
Ring extension of entire ring with conjugation; arithmetic in entire rings
Alexandre Laugier
Some basic properties of the ring of integers are extended to entire rings. In particular, arithmetic in entire principal rings is very similar than arithmetic in the…
A new proof of Lucas' Theorem
Alexandre Laugier, Manjil P. Saikia
We give a new proof of Lucas' Theorem in elementary number theory.
Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences
Alexandre Laugier, Manjil P. Saikia
In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for , where is a prime of a c…
A characterization of a prime from the binomial coefficient
Alexandre Laugier, Manjil Saikia
We complete a proof of a theorem that was inspired by an Indian Olympiad problem, which gives an interesting characterization of a prime number with respect to the binomial coe…