Pisot and Salem Numbers

1997 ◽  
Vol 81 (490) ◽  
pp. 166
Author(s):  
Nick Lord ◽  
M. J. Bertin ◽  
A. Decomps-Guilloux ◽  
M. Grandet-Hugot ◽  
M. Pathiaux-Delefosse ◽  
...  
Keyword(s):  
Salem Numbers

Arithmetic groups and Salem numbers

1992 ◽  
Vol 75 (1) ◽  
pp. 97-102 ◽  
Author(s):  
B. Sury
Keyword(s):  
Arithmetic Groups ◽  
Salem Numbers

scholarly journals Salem Numbers and Pisot Numbers via Interlacing

2012 ◽  
Vol 64 (2) ◽  
pp. 345-367 ◽  
Author(s):  
James McKee ◽  
Chris Smyth
Keyword(s):  
Unit Circle ◽  
Rational Functions ◽  
General Construction ◽  
Pisot Numbers ◽  
Salem Numbers ◽  
Limit Points ◽  
Zeros And Poles

Abstract We present a general construction of Salem numbers via rational functions whose zeros and poles mostly lie on the unit circle and satisfy an interlacing condition. This extends and unifies earlier work. We then consider the “obvious” limit points of the set of Salem numbers produced by our theorems and show that these are all Pisot numbers, in support of a conjecture of Boyd. We then show that all Pisot numbers arise in this way. Combining this with a theorem of Boyd, we produce all Salem numbers via an interlacing construction.

Reflexive Line Graphs of Trees and Salem Numbers

2019 ◽  
Vol 16 (5) ◽  
Author(s):  
Milica Anđelić ◽  
Slobodan K. Simić ◽  
Dejan Živković
Keyword(s):  
Line Graphs ◽  
Salem Numbers

scholarly journals THERE ARE SALEM NUMBERS OF EVERY TRACE

2005 ◽  
Vol 37 (01) ◽  
pp. 25-36 ◽  
Author(s):  
JAMES MCKEE ◽  
CHRIS SMYTH
Keyword(s):  
Salem Numbers

scholarly journals Seventy years of Salem numbers

2015 ◽  
Vol 47 (3) ◽  
pp. 379-395 ◽  
Author(s):  
Chris Smyth
Keyword(s):  
Salem Numbers

scholarly journals Sumsets of Pisot and Salem numbers

2008 ◽  
Vol 26 (1) ◽  
pp. 85-91 ◽  
Author(s):  
Artūras Dubickas
Keyword(s):  
Salem Numbers
Sign in / Sign up

Export Citation Format

Share Document