International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 2, Pages 397-400
doi:10.1155/S0161171280000270
Binomial expansions modulo prime powers
Paul W. Haggard1
and John O. Kiltinen2
1Department of Mathematics, East Carolina University, Greenville 27834, North Carolina, USA
2Department of Mathematics, Northern Michigan University, Marquette 49855, Michigan, USA
Abstract
In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.