Nonreciprocal algebraic numbers of small measure
Commentationes Mathematicae Universitatis Carolinae (2004)
- Volume: 45, Issue: 4, page 693-697
- ISSN: 0010-2628
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topDubickas, Artūras. "Nonreciprocal algebraic numbers of small measure." Commentationes Mathematicae Universitatis Carolinae 45.4 (2004): 693-697. <http://eudml.org/doc/249374>.
@article{Dubickas2004,
abstract = {The main result of this paper implies that for every positive integer $d\geqslant 2$ there are at least $(d-3)^2/2$ nonconjugate algebraic numbers which have their Mahler measures lying in the interval $(1,2)$. These algebraic numbers are constructed as roots of certain nonreciprocal quadrinomials.},
author = {Dubickas, Artūras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Mahler measure; quadrinomials; irreducibility; nonreciprocal numbers; Mahler measure; quadrinomials; irreducibility; nonreciprocal numbers},
language = {eng},
number = {4},
pages = {693-697},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Nonreciprocal algebraic numbers of small measure},
url = {http://eudml.org/doc/249374},
volume = {45},
year = {2004},
}
TY - JOUR
AU - Dubickas, Artūras
TI - Nonreciprocal algebraic numbers of small measure
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 693
EP - 697
AB - The main result of this paper implies that for every positive integer $d\geqslant 2$ there are at least $(d-3)^2/2$ nonconjugate algebraic numbers which have their Mahler measures lying in the interval $(1,2)$. These algebraic numbers are constructed as roots of certain nonreciprocal quadrinomials.
LA - eng
KW - Mahler measure; quadrinomials; irreducibility; nonreciprocal numbers; Mahler measure; quadrinomials; irreducibility; nonreciprocal numbers
UR - http://eudml.org/doc/249374
ER -
References
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