Conference Proceeding

Salem numbers and Pisot numbers from stars



McKee JF, Rowlinson P & Smyth CJ (1999) Salem numbers and Pisot numbers from stars. In: Gyory K, Iwaniec H & Urbanowicz J (eds.) Number Theory in Progress: Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997, Volume 1: Diophantine Problems and Polynomials. International Conference on Number Theory, Zakopane, Poland, 30.06.1997-09.07.1997. Berlin: Walter De Gruyter, pp. 309-319.

We use trees to construct families of algebraic integers. These include certain families of Salem numbers and of Pisot numbers, constructed from stars. The family of Pisot numbers we construct forms a proper closed subset of the set of all Pisot numbers. We show that this subset contains Pisot numbers of arbitrary trace. In particular, we exhibit a Pisot number of trace -- 5 and degree 141, 731, 565, 070, 951.

Publication date31/12/1999
Publication date online30/06/1997
PublisherWalter De Gruyter
Publisher URL
Place of publicationBerlin
ConferenceInternational Conference on Number Theory
Conference locationZakopane, Poland

People (1)


Professor Peter Rowlinson

Professor Peter Rowlinson

Emeritus Professor, Mathematics