Time: 9h00,Wednesday, April 11, 2018
Location: Room semina 6 Flor, Building A6, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: Fermat's little theorem states that if $p$ is a prime number, then $a^p \equiv a$ (mod $p$) holds true for any integer $a$. One may ask what happens when $p$ is not a prime. The answer to this question seems little known to mathematicians, even to number theorists (as Dickson said in his {\it History of the Theory of Numbers}). In this talk, we discuss the missing result which is essentially due to Gauss and its generalizations.