Results 1 to 10 of about 170 (40)
A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator [PDF]
Communications in Algebra, 2020 Sophie Frisch, Sarah Nakato
exaly +2 more sources
Bernoulli-type Relations in Some Noncommutative Polynomial Ring [PDF]
, 2009 We find particular relations which we call "Bernoulli-type" in some noncommutative polynomial ring with a single nontrivial relation. More precisely, our ring is isomorphic to the universal enveloping algebra of a two-dimensional non-abelian Lie algebra.
Murata, Shunsuke
core +2 more sources
Sequences of irreducible polynomials without prescribed coefficients over odd prime fields [PDF]
, 2013 In this paper we construct infinite sequences of monic irreducible polynomials with coefficients in odd prime fields by means of a transformation introduced by Cohen in 1992. We make no assumptions on the coefficients of the first polynomial $f_0$ of the
Ugolini, Simone
core +1 more source
Matrices induced by arithmetic functions acting on certain Krein spaces
Special Matrices, 2017 In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj +1 more source
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
Linear relations with conjugates of a Salem number [PDF]
, 2019 In this paper we consider linear relations with conjugates of a Salem number $\alpha$. We show that every such a relation arises from a linear relation between conjugates of the corresponding totally real algebraic integer $\alpha+1/\alpha$.
Dubickas, Artūras, Jankauskas, Jonas
core +3 more sources
Explicit form of Cassels' $p$-adic embedding theorem for number fields [PDF]
, 2014 In this paper, we mainly give a general explicit form of Cassels' $p$-adic embedding theorem for number fields. We also give its refined form in the case of cyclotomic fields.
Dubickas, Arturas +2 more
core +3 more sources
, 2008 The aim of this note is to prove the Mahler measure identity $m(x+x^{-1}+y+y^{-1}+5) = 6 m(x+x^{-1}+y+y^{-1}+1)$ which was conjectured by Boyd.
Bertin M. J. +3 more
core +4 more sources
A generalization of a theorem of Boyd and Lawton
, 2012 The Mahler measure of a nonzero $n$-variable polynomial $P$ is the integral of $\log|P|$ on the unit $n$-torus. A result of Boyd and Lawton says that the Mahler measure of a multivariate polynomial is the limit of Mahler measures of univariate ...
Boyd +11 more
core +1 more source