Sign Up to like & get
recommendations!
0
Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2016.06.016
Abstract: In this paper, we compute the lower bound of the absolute trace of totally positive reciprocal algebraic integers with the use of an explicit auxiliary function and prove that all but finitely many totally positive…
read more here.
Keywords:
absolute trace;
reciprocal algebraic;
totally positive;
algebraic integers ... See more keywords
Sign Up to like & get
recommendations!
1
Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.01.012
Abstract: Abstract The house of an algebraic integer of degree d is the largest modulus of its conjugates. In this work, we compute the smallest houses m r ( d ) of all reciprocal algebraic integers…
read more here.
Keywords:
houses reciprocal;
reciprocal algebraic;
algebraic integers;
smallest houses ... See more keywords
Sign Up to like & get
recommendations!
0
Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7974
Abstract: We consider semigroup dynamical systems defined by several polynomials over a number field $\mathbb{K}$, and the orbit (tree) they generate at a given point. We obtain finiteness results for the set of preperiodic points of…
read more here.
Keywords:
house preperiodicity;
preperiodicity polynomial;
integers bounded;
algebraic integers ... See more keywords