Irreducible polynomials with many roots of maximal modulus
Acta Arithmetica (1994)
- Volume: 68, Issue: 1, page 85-88
- ISSN: 0065-1036
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topDavid W. Boyd. "Irreducible polynomials with many roots of maximal modulus." Acta Arithmetica 68.1 (1994): 85-88. <http://eudml.org/doc/206645>.
@article{DavidW1994,
author = {David W. Boyd},
journal = {Acta Arithmetica},
keywords = {roots of equal modulus; irreducible polynomial with integer coefficients; roots of maximal modulus; Galois group},
language = {eng},
number = {1},
pages = {85-88},
title = {Irreducible polynomials with many roots of maximal modulus},
url = {http://eudml.org/doc/206645},
volume = {68},
year = {1994},
}
TY - JOUR
AU - David W. Boyd
TI - Irreducible polynomials with many roots of maximal modulus
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 1
SP - 85
EP - 88
LA - eng
KW - roots of equal modulus; irreducible polynomial with integer coefficients; roots of maximal modulus; Galois group
UR - http://eudml.org/doc/206645
ER -
References
top- [1] L. Kronecker, Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten, J. Reine Angew. Math. 53 (1857), 173-175.
- [2] M. Mignotte, Sur les conjugées des nombres de Pisot, C. R. Acad. Sci. Paris Sér. I Math. 298 (1984), 21.
- [3] R. Salem, Algebraic Numbers and Fourier Analysis, D. C. Heath and Co., Boston, 1963. Zbl0126.07802
- [4] C. Smyth, The conjugates of algebraic integers, Advanced Problem 5931, Amer. Math. Monthly 82 (1975), 86.
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