Dubickas, Artūras Transcendency of some constants related to integer sequences of polynomial iterations. (English) Zbl 1485.11110 Ramanujan J. 57, No. 2, 569-581 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11B37 11R06 × Cite Format Result Cite Review PDF Full Text: DOI
Dubickas, Artūras; Sha, Min; Shparlinski, Igor E. On distances in lattices from algebraic number fields. (English) Zbl 1433.11083 Mosc. Math. J. 17, No. 2, 239-268 (2017). MSC: 11H06 11R04 11R06 11R09 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Masáková, Z.; Tinková, M. Finiteness in real real cubic fields. (English) Zbl 1399.11034 Acta Math. Hung. 153, No. 2, 318-333 (2017). Reviewer: Florian Luca (Morelia) MSC: 11A63 11R16 × Cite Format Result Cite Review PDF Full Text: DOI
Bertin, Marie José; Zaïmi, Toufik Complex Pisot numbers in algebraic number fields. (Nombres de Pisot complexes dans des corps de nombres algébriques.) (English. French summary) Zbl 1332.11093 C. R., Math., Acad. Sci. Paris 353, No. 11, 965-967 (2015). MSC: 11R06 11R27 × Cite Format Result Cite Review PDF Full Text: DOI
Ghorbel, R.; Hbaib, M.; Zouari, S. Arithmetics on beta-expansions with Pisot bases over \(\mathbb F_q((x^{-1}))\). (English) Zbl 1376.11070 Bull. Belg. Math. Soc. - Simon Stevin 21, No. 2, 241-251 (2014). MSC: 11R06 11K16 37B50 × Cite Format Result Cite Review PDF Full Text: Euclid
Dubickas, Artūras Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds. (English) Zbl 1290.11148 New York J. Math. 20, 257-274 (2014). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R27 11R06 11R21 53C55 × Cite Format Result Cite Review PDF Full Text: EMIS
Gazeau, J. P.; del Olmo, M. A. Pisot \(q\)-coherent states quantization of the harmonic oscillator. (English) Zbl 1266.81111 Ann. Phys. 330, 220-245 (2013). MSC: 81R50 81R30 81S05 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kalle, Charlene; Steiner, Wolfgang Beta-expansions, natural extensions and multiple tilings associated with Pisot units. (English) Zbl 1295.11010 Trans. Am. Math. Soc. 364, No. 5, 2281-2318 (2012). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11A67 11R06 28A80 28D05 37B10 52C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghorbel, Rim; Hbaib, Mohamed; Zouari, Sourour Purely periodic beta-expansions over Laurent series. (English) Zbl 1333.11072 Int. J. Algebra Comput. 22, No. 2, Article ID 1250010, 12 p. (2012). MSC: 11K16 11R06 × Cite Format Result Cite Review PDF Full Text: DOI
Ghorbel, R.; Hbaib, M.; Zouari, S. Purely periodic \(\beta\)-expansions in the quadratic base over the field of formal series. (English) Zbl 1251.11074 Int. J. Contemp. Math. Sci. 6, No. 25-28, 1357-1365 (2011). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 37B50 × Cite Format Result Cite Review PDF Full Text: Link
Hama, Masaki; Ito, Shunji Purely periodic points of complex Pisot expansions. (English) Zbl 1205.11114 Tokyo J. Math. 32, No. 2, 517-535 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11R06 11K16 × Cite Format Result Cite Review PDF Full Text: DOI
Gjini, N. Beta-expansion of 1 for quartic Pisot units. (English) Zbl 1047.11101 Period. Math. Hung. 47, No. 1-2, 73-87 (2003). MSC: 11R06 37B10 × Cite Format Result Cite Review PDF Full Text: DOI
Dubickas, A. The Remak height for units. (English) Zbl 1059.11062 Acta Math. Hung. 97, No. 1-2, 1-13 (2002). MSC: 11R06 11R09 11R80 × Cite Format Result Cite Review PDF Full Text: DOI
Zaïmi, Toufik Characterization of a set generalizing the set of Pisot numbers. (Caractérisation d’un ensemble généralisant l’ensemble des nombres de Pisot.) (French) Zbl 0920.11068 Acta Arith. 87, No. 2, 141-144 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R06 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Drobot, Vladimir; Turner, John Hausdorff dimension and Perron-Frobenius theory. (English) Zbl 0661.10067 Ill. J. Math. 33, No. 1, 1-9 (1989). Reviewer: Y.Peres MSC: 11K55 28D20 11K16 × Cite Format Result Cite Review PDF
Porubský, Š.; Šalát, T.; Strauch, O. Transformations that preserve uniform distribution. (English) Zbl 0656.10047 Acta Arith. 49, No. 5, 459-479 (1988). Reviewer: G.Larcher MSC: 11K06 11K16 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Alufohai, Imohimi C. Number theoretical weak Bernoulli transformations on the unit interval. (English) Zbl 0548.10033 Math. Jap. 29, 229-235 (1984). Reviewer: H.Jager MSC: 11K16 28D05 × Cite Format Result Cite Review PDF
Hua, Loo-Keng; Wang, Yuan A note on simultaneous Diophantine approximations to algebraic integers. (English) Zbl 0376.10027 Sci. Sin. 20, 563-567 (1977). Reviewer: Alf van der Poorten (Killara) MSC: 11J68 11J13 11R06 × Cite Format Result Cite Review PDF