Polynomial relations amongst algebraic units of low measure

John Garza. "Polynomial relations amongst algebraic units of low measure." Acta Arithmetica 164.1 (2014): 25-30. <http://eudml.org/doc/279183>.

@article{JohnGarza2014,
abstract = {For an algebraic number field and a subset $\{α_1, ..., α_r\} ⊆ _\{\}$, we establish a lower bound for the average of the logarithmic heights that depends on the ideal of polynomials in $ℚ[x_1, ..., x_r]$ vanishing at the point $(α_1, ..., α_r)$.},
author = {John Garza},
journal = {Acta Arithmetica},
keywords = {Mahler measure; Weil height},
language = {eng},
number = {1},
pages = {25-30},
title = {Polynomial relations amongst algebraic units of low measure},
url = {http://eudml.org/doc/279183},
volume = {164},
year = {2014},
}

TY - JOUR
AU - John Garza
TI - Polynomial relations amongst algebraic units of low measure
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 1
SP - 25
EP - 30
AB - For an algebraic number field and a subset ${α_1, ..., α_r} ⊆ _{}$, we establish a lower bound for the average of the logarithmic heights that depends on the ideal of polynomials in $ℚ[x_1, ..., x_r]$ vanishing at the point $(α_1, ..., α_r)$.
LA - eng
KW - Mahler measure; Weil height
UR - http://eudml.org/doc/279183
ER -