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ON THE CONJUGATES OF CERTAIN ALGEBRAIC INTEGERS.
- Source :
-
Publications de l'Institut Mathématique . 2016, Vol. 99 Issue 113, p281-285. 5p. - Publication Year :
- 2016
-
Abstract
- A well-known theorem, due to C. J. Smyth, asserts that two conjugates of a Pisot number, having the same modulus are necessary complex conjugates. We show that this result remains true for K-Pisot numbers, where K is a real algebraic number field. Also, we prove that a j-Pisot number, where j is a natural number, can not have more than 2j conjugates with the same modulus. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03501302
- Volume :
- 99
- Issue :
- 113
- Database :
- Academic Search Index
- Journal :
- Publications de l'Institut Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 115318713
- Full Text :
- https://doi.org/10.2298/PIM1613281Z