Speculations Concerning the Range of Mahler's Measure
- 12 March 1980
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 24 (4) , 453-469
- https://doi.org/10.4153/cmb-1981-069-5
Abstract
I would like to express my thanks to the Canadian Mathematical Society for inviting me to present this lecture. I would also like to express my appreciation to C.J. Smyth for numerous helpful conversations during his visit this year at the University of British Columbia.This paper follows reasonably closely the outline of the lecture presented in Ottawa. More details are given here though and a number of proofs which would not be otherwise accessible have been added as Appendices. The attentive reader will soon realize the appropriateness of the title.Keywords
This publication has 17 references indexed in Scilit:
- Variations on a Theme of KroneckerCanadian Mathematical Bulletin, 1978
- Algebraic integers whose conjugates lie near the unit circleBulletin de la Société Mathématiques de France, 1978
- Small Salem numbersDuke Mathematical Journal, 1977
- On a question of Lehmer and the number of irreducible factors of a polynomialActa Arithmetica, 1977
- Pisot sequences which satisfy no linear recurrenceActa Arithmetica, 1977
- Ergodic automorphisms of the infinite torus are bernoulliIsrael Journal of Mathematics, 1974
- Algebraic integers near the unit circleActa Arithmetica, 1971
- Algebraic integers whose conjugates lie in the unit circleDuke Mathematical Journal, 1944
- A remarkable class of algebraic integers. Proof of a conjecture of VijayaraghavanDuke Mathematical Journal, 1944
- Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.Journal für die reine und angewandte Mathematik (Crelles Journal), 1857