ALGEBRAIC PROPERTIES OF WEAK PERRON NUMBERS

Horst Brunotte

doi:10.2478/tmmp-2013-0023

.blurhash-client-img { display: none !important; }

ALGEBRAIC PROPERTIES OF WEAK PERRON NUMBERS

Tatra Mountains Mathematical Publications

Volume 56 (2013): Issue 1 (November 2013)

By: Horst Brunotte

Open Access

|Feb 2014

[1] BOYD, D. W.: The maximal modulus of an algebraic integer, Math. Comp.(1985), 243-249.
Open DOI Search in Google Scholar
[2] DUBICKAS, A.: A note on powers of Pisot numbers, Publ. Math. Debrecen(2000), 141-144.
Search in Google Scholar
[3] DUBICKAS, A.: Mahler measures generate the largest possible groups, Math. Res. Lett.(2004), 279-283.
Open DOI Search in Google Scholar
[4] DUBICKAS, A.-SMYTH, C. J.: On the Remak height, the Mahler measure and conjugate sets of algebraic numbers lying on two circles, Proc. Edinburgh Math. Soc. (2)(2001), 1-17.
Open DOI Search in Google Scholar
[5] FERGUSON, R.: Irreducible polynomials with many roots of equal modulus., Acta Arith.(1997), 221-225.
Open DOI Search in Google Scholar
[6] JURKAT, W.-KRATZ, W.-PEYERIMHOFF, A.: On best two-dimensional Dirichlet- -approximations and their algorithmic calculation, Math. Ann.(1979), 1-32.
Open DOI Search in Google Scholar
[7] JUST, B.: Generalizing the continued fraction algorithm to arbitrary dimensions, SIAM J. Comput.(1992), 909-926.
Open DOI Search in Google Scholar
[8] KENYON, R.: The construction of self-similar tilings, Geom. Funct. Anal.(1996), 471-488.
Open DOI Search in Google Scholar
[9] KOREC, I.: Irrational speeds of configurations growth in generalized Pascal triangles, Theoret. Comput. Sci.(1993), 399-412.
Open DOI Search in Google Scholar
[10] , Open problems more or less related to generalized Pascal triangles, Preprint 22/1996, Mathematical Institute SAS, Bratislava.
Search in Google Scholar
[11] LIND, D. A.: The entropies of topological Markov shifts and a related class of algebraic integers, Ergodic Theory Dynam. Systems(1984), 283-300.
Open DOI Search in Google Scholar
[12] , Entropies of automorphisms of a topological Markov shift, Proc. Amer. Math.Soc.(1987), 589-595.
Open DOI Search in Google Scholar
[13] LIND, D.-MARCUS, B.: An Introduction to Symbolic Dynamics and Coding. Cambridge University Press, Cambridge, 1995.
Open DOI Search in Google Scholar
[14] SCHINZEL, A.: A class of algebraic numbers, Tatra Mt. Math. Publ.(1997), 35-42.
Search in Google Scholar
[15] VERGER-GAUGRY, J.-L.: Uniform distribution of Galois conjugates and beta-conjugates of a Parry number near the unit circle and dichotomy of Perron numbers, Unif.Distrib. Theory(2008), 157-190.
Search in Google Scholar
[16] WU, Q.: The smallest Perron numbers, Math. Comp.(2010), 2387-2394.
Open DOI Search in Google Scholar