A new proof of Lucas’ Theorem

Alexandre Laugier and Manjil P. Saikia
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 18, 2012, Number 4, Pages 1–6
Full paper (PDF, 171Kb

Details

Authors and affiliations

Alexandre Laugier
Lycée professionnel hotelier La Closerie
10 rue Pierre Loti – BP 4, 22410 Saint-Quay-Portrieux, France

Manjil P. Saikia
Department of Mathematical Sciences, Tezpur University
Napaam, Sonitpur, Assam, Pin-784028, India

Abstract

We give a new proof of Lucas’ Theorem in elementary number theory.

Keywords

• Lucas’ Theorem

AMS Classification

• 11A07
• 11A41
• 11A51
• 11B50
• 11B65
• 11B75

References

1. Lucas, E. Théorie des Fonctions Numériques Simplement Périodiques, Amer. J. Math., Vol. 1, 1878, No. 2, 184–196 (part 1); Vol. 1, 1878, No. 3, 197–240 (part 2); Vol. 1, 1878, No. 4, 289–321 (part 3).