The absolute trace of totally positive reciprocal algebraic integers
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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
On the smallest houses of reciprocal algebraic integers
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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