Author/Authors :
Shigeki Akiyamaa، نويسنده , , 1، نويسنده , ,
Horst Brunotteb، نويسنده , ,
Attila Peth?c، نويسنده , , Corresponding Author Contact Information، نويسنده , , 2، نويسنده ,
Abstract :
A conjecture of W.J. Gilbertʹs on canonical number systems which are defined by cubic polynomials is partially proved, and it is shown that the conjecture is not complete. Applications to power integral bases of simplest and pure cubic number fields are given thereby extending results of S. Körmendi
