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IMCS/Publications/QRS/Issues/QRS v.11, n.1 (11), 2004/

A note on Salem numbers and Golden mean

Authors: Q. Mushtaq, A. Mahmood

Abstract

It is known that every Pisot number is a limit of Salem numbers. At present there are 47 known Salem numbers less than 1.3 and the list is known to be complete through degree 40. There is a well known relationship between Coxeter systems, Salem numbers, and Golden mean. In this short note, we have discovered the existence of Golden mean in the action of PSL2(Z) on Q( Sqrt(5)U {∞} and investigated some interesting properties of these.

Qaiser Mushtaq,
Department of Mathematics,
Quaid-i-Azam University,
Islamabad,
Pakistan,
E-mail:
and
Arshad Mahmood
Department of Mathematics and Statistics,
Allama Iqbal Open University,
Islamabad,
Pakistan,
E-mail:



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