| A Carmichael number is a composite number which passes a naive primaility test. The study of Carmichael numbers is active in number theory.In this thesis, we study several problems concerning Carmichael numbers. We give a new definition for an analogy of Carmichael number:Carmichael polynomial. We obtain some estimates of the number of Carmichael polynomials sati.sfyting some constraints on the degree. In this process, we obtain a result on a special kind of partition number. In addition, we construct a new elliptic Carmichael number. |
