Can, Büşra; Kekeç, Gülcan On transcendental continued fractions in fields of formal power series over finite fields. (English) Zbl 1494.11058 Bull. Aust. Math. Soc. 105, No. 3, 392-403 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J61 11J70 11J82 PDF BibTeX XML Cite \textit{B. Can} and \textit{G. Kekeç}, Bull. Aust. Math. Soc. 105, No. 3, 392--403 (2022; Zbl 1494.11058) Full Text: DOI
Kekeç, Gülcan On Mahler’s classification of formal power series over a finite field. (English) Zbl 1489.11101 Math. Slovaca 72, No. 1, 265-273 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J61 11J82 PDF BibTeX XML Cite \textit{G. Kekeç}, Math. Slovaca 72, No. 1, 265--273 (2022; Zbl 1489.11101) Full Text: DOI
Bundschuh, Peter; Väänänen, Keijo Arithmetical results on some infinite products. (English) Zbl 1479.11128 Funct. Approximatio, Comment. Math. 63, No. 2, 181-188 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J82 11J91 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{K. Väänänen}, Funct. Approximatio, Comment. Math. 63, No. 2, 181--188 (2020; Zbl 1479.11128) Full Text: DOI
Bugeaud, Yann; Kekeç, Gülcan On Mahler’s \(p\)-adic \(S\)-, \(T\)-, and \(U\)-numbers. (English) Zbl 1488.11107 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 81-94 (2020). MSC: 11J61 11J82 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{G. Kekeç}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 1, 81--94 (2020; Zbl 1488.11107) Full Text: DOI
Hajli, Mounir A new formula for Mahler’s measure. (English) Zbl 1442.11139 Funct. Approximatio, Comment. Math. 62, No. 2, 165-170 (2020). MSC: 11R06 11G50 11K60 14G40 PDF BibTeX XML Cite \textit{M. Hajli}, Funct. Approximatio, Comment. Math. 62, No. 2, 165--170 (2020; Zbl 1442.11139) Full Text: DOI Euclid
Pezzoni, Alessandro A Jarník-type theorem for a problem of approximation by cubic polynomials. (English) Zbl 1448.11144 Acta Arith. 193, No. 3, 269-281 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 28A78 PDF BibTeX XML Cite \textit{A. Pezzoni}, Acta Arith. 193, No. 3, 269--281 (2020; Zbl 1448.11144) Full Text: DOI arXiv
Bugeaud, Yann; Kekeç, Gülcan On Mahler’s classification of \(p\)-adic numbers. (English) Zbl 1448.11130 Bull. Aust. Math. Soc. 98, No. 2, 203-211 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J61 11J82 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{G. Kekeç}, Bull. Aust. Math. Soc. 98, No. 2, 203--211 (2018; Zbl 1448.11130) Full Text: DOI
Amoroso, Francesco Mahler measure on Galois extensions. (English) Zbl 1401.11139 Int. J. Number Theory 14, No. 6, 1605-1617 (2018). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11G50 PDF BibTeX XML Cite \textit{F. Amoroso}, Int. J. Number Theory 14, No. 6, 1605--1617 (2018; Zbl 1401.11139) Full Text: DOI
El Otmani, S.; Maul, A.; Rhin, G.; Sac-Épée, J.-M. Finding new small degree polynomials with small Mahler measure by genetic algorithms. (English) Zbl 1434.11213 Rocky Mt. J. Math. 47, No. 8, 2619-2626 (2017). MSC: 11R06 PDF BibTeX XML Cite \textit{S. El Otmani} et al., Rocky Mt. J. Math. 47, No. 8, 2619--2626 (2017; Zbl 1434.11213) Full Text: DOI Euclid
Alkan, Emre Series representing transcendental numbers that are not U-numbers. (English) Zbl 1328.11079 Int. J. Number Theory 11, No. 3, 869-892 (2015). Reviewer: András Bazsó (Debrecen) MSC: 11J82 33E20 33C45 PDF BibTeX XML Cite \textit{E. Alkan}, Int. J. Number Theory 11, No. 3, 869--892 (2015; Zbl 1328.11079) Full Text: DOI
Kwon, DoYong Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\). (Paramètres exceptionnels de transformations linéaires mod un et parties fractionnaires \(\{ \xi (p/q)^n \}\).) (English. French summary) Zbl 1323.11060 C. R., Math., Acad. Sci. Paris 353, No. 4, 291-296 (2015). Reviewer: Maria Infusino (Konstanz) MSC: 11K31 11J71 11K55 68R15 PDF BibTeX XML Cite \textit{D. Kwon}, C. R., Math., Acad. Sci. Paris 353, No. 4, 291--296 (2015; Zbl 1323.11060) Full Text: DOI
Kekeç, Gülcan Some generalized lacunary power series with algebraic coefficients for Mahler’s \(U\)-number arguments. (English) Zbl 1357.11064 Taiwanese J. Math. 18, No. 1, 1-26 (2014). MSC: 11J82 11J61 PDF BibTeX XML Cite \textit{G. Kekeç}, Taiwanese J. Math. 18, No. 1, 1--26 (2014; Zbl 1357.11064) Full Text: DOI
Choi, Stephen; Erdélyi, Tamás Average Mahler’s measure and \(L_p\) norms of Littlewood polynomials. (English) Zbl 1338.11041 Proc. Am. Math. Soc., Ser. B 1, 105-120 (2014). MSC: 11C08 30C10 42A05 60G99 PDF BibTeX XML Cite \textit{S. Choi} and \textit{T. Erdélyi}, Proc. Am. Math. Soc., Ser. B 1, 105--120 (2014; Zbl 1338.11041) Full Text: DOI
Dubickas, A. When should a polynomial’s root nearest to a real number be real itself? (English) Zbl 1344.11030 St. Petersbg. Math. J. 25, No. 6, 919-928 (2014) and Algebra Anal. 25, No. 6, 37-49 (2013). MSC: 11C08 11J04 11R09 PDF BibTeX XML Cite \textit{A. Dubickas}, St. Petersbg. Math. J. 25, No. 6, 919--928 (2014; Zbl 1344.11030) Full Text: DOI
Dubickas, Artūras Polynomial root separation in terms of the Remak height. (English) Zbl 1275.11053 Turk. J. Math. 37, No. 5, 747-761 (2013). MSC: 11C08 11R09 11R16 PDF BibTeX XML Cite \textit{A. Dubickas}, Turk. J. Math. 37, No. 5, 747--761 (2013; Zbl 1275.11053)
Kekeç, Gülcan On Mahler’s \(p\)-adic \(U_m\)-numbers. (English) Zbl 1282.11077 Bull. Aust. Math. Soc. 88, No. 1, 44-50 (2013). Reviewer: Peter Bundschuh (Köln) MSC: 11J61 11J82 PDF BibTeX XML Cite \textit{G. Kekeç}, Bull. Aust. Math. Soc. 88, No. 1, 44--50 (2013; Zbl 1282.11077) Full Text: DOI
Bundschuh, Peter; Väänänen, Keijo Algebraic independence of the generating functions of Stern’s sequence and of its twist. (English) Zbl 1268.11096 J. Théor. Nombres Bordx. 25, No. 1, 43-57 (2013). Reviewer: Michel Waldschmidt (Paris) MSC: 11J81 11J82 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{K. Väänänen}, J. Théor. Nombres Bordx. 25, No. 1, 43--57 (2013; Zbl 1268.11096) Full Text: DOI Numdam
Dobrowolski, Edward On a question of Schinzel about the length and Mahler’s measure of polynomials that have a zero on the unit circle. (English) Zbl 1276.12002 Acta Arith. 155, No. 4, 453-463 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 12D99 PDF BibTeX XML Cite \textit{E. Dobrowolski}, Acta Arith. 155, No. 4, 453--463 (2012; Zbl 1276.12002) Full Text: DOI
Dubickas, Arturas An extended lemma of Dobrowolski and Smyth’s congruence. (English) Zbl 1265.11050 Acta Sci. Math. 77, No. 3-4, 403-408 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C08 11R04 11R09 PDF BibTeX XML Cite \textit{A. Dubickas}, Acta Sci. Math. 77, No. 3--4, 403--408 (2011; Zbl 1265.11050)
Choi, Kwok-Kwong Stephen; Mossinghoff, Michael J. Average Mahler’s measure and \(L_p\) norms of unimodular polynomials. (English) Zbl 1238.30004 Pac. J. Math. 252, No. 1, 31-50 (2011). Reviewer: Dov Aharonov (Haifa) MSC: 30C10 11R06 11C08 60C99 PDF BibTeX XML Cite \textit{K.-K. S. Choi} and \textit{M. J. Mossinghoff}, Pac. J. Math. 252, No. 1, 31--50 (2011; Zbl 1238.30004) Full Text: DOI Link
Kekeç, Gülcan On some lacunary power series with algebraic coefficients and Mahler’s \(U\)-numbers. (English) Zbl 1225.30002 Appl. Math. Comput. 218, No. 3, 866-870 (2011). MSC: 30B10 11R06 11J81 PDF BibTeX XML Cite \textit{G. Kekeç}, Appl. Math. Comput. 218, No. 3, 866--870 (2011; Zbl 1225.30002) Full Text: DOI
Benferhat, Leila Integral expression of Dirichlet \(L\)-series. (English) Zbl 1232.11044 Int. J. Algebra 4, No. 5-8, 277-289 (2010). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11F66 PDF BibTeX XML Cite \textit{L. Benferhat}, Int. J. Algebra 4, No. 5--8, 277--289 (2010; Zbl 1232.11044) Full Text: Link
Bombieri, Enrico Problems and results on the distribution of algebraic points on algebraic varieties. (English) Zbl 1194.11070 J. Théor. Nombres Bordx. 21, No. 1, 41-57 (2009). Reviewer: Michel Waldschmidt (Paris) MSC: 11G35 11G50 14G25 14G05 PDF BibTeX XML Cite \textit{E. Bombieri}, J. Théor. Nombres Bordx. 21, No. 1, 41--57 (2009; Zbl 1194.11070) Full Text: DOI EuDML Link
Samuels, Charles L. Estimating heights using auxiliary functions. (English) Zbl 1218.11100 Acta Arith. 137, No. 3, 241-251 (2009). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R09 11G50 PDF BibTeX XML Cite \textit{C. L. Samuels}, Acta Arith. 137, No. 3, 241--251 (2009; Zbl 1218.11100) Full Text: DOI arXiv
Pritsker, Igor E. Polynomial inequalities, Mahler’s measure, and multipliers. (English) Zbl 1337.11073 McKee, James (ed.) et al., Number theory and polynomials. Proceedings of the workshop, Bristol, UK, April 3–7, 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71467-9/pbk). London Mathematical Society Lecture Note Series 352, 255-276 (2008). MSC: 11R06 11D75 PDF BibTeX XML Cite \textit{I. E. Pritsker}, Lond. Math. Soc. Lect. Note Ser. 352, 255--276 (2008; Zbl 1337.11073) Full Text: DOI
Borwein, Peter; Mossinghoff, Michael Barker sequences and flat polynomials. (English) Zbl 1266.11051 McKee, James (ed.) et al., Number theory and polynomials. Proceedings of the workshop, Bristol, UK, April 3–7, 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71467-9/pbk). London Mathematical Society Lecture Note Series 352, 71-88 (2008). MSC: 11B83 42A05 30C10 94A55 PDF BibTeX XML Cite \textit{P. Borwein} and \textit{M. Mossinghoff}, Lond. Math. Soc. Lect. Note Ser. 352, 71--88 (2008; Zbl 1266.11051) Full Text: DOI
Dubickas, Arturas On the discriminant of the power of an algebraic number. (English) Zbl 1127.11069 Stud. Sci. Math. Hung. 44, No. 1, 27-34 (2007). MSC: 11R04 11R29 11J68 11J86 PDF BibTeX XML Cite \textit{A. Dubickas}, Stud. Sci. Math. Hung. 44, No. 1, 27--34 (2007; Zbl 1127.11069) Full Text: DOI
Bugeaud, Yann Approximation by algebraic numbers. (English) Zbl 1155.11003 Cambridge Tracts in Mathematics 160. Cambridge: Cambridge University Press (ISBN 978-0-521-04567-4/pbk). xv, 274 p. (2007). MSC: 11-02 11J04 11J13 11J17 11J25 11J68 11J83 11K60 PDF BibTeX XML Cite \textit{Y. Bugeaud}, Approximation by algebraic numbers. Cambridge: Cambridge University Press (2007; Zbl 1155.11003)
Dubickas, Artūras On Mahler’s inequality for the sum of polynomials. (English) Zbl 1127.26009 Integral Transforms Spec. Funct. 18, No. 5, 313-319 (2007). Reviewer: David W. Boyd (Vancouver) MSC: 26D05 12D10 30C10 33B15 PDF BibTeX XML Cite \textit{A. Dubickas}, Integral Transforms Spec. Funct. 18, No. 5, 313--319 (2007; Zbl 1127.26009) Full Text: DOI
Bertin, Marie José Mahler’s measure and \(L\)-series of \(K3\) hypersurfaces. (English) Zbl 1124.11030 Yui, Noriko (ed.) et al., Mirror symmetry V. Proceedings of the BIRS workshop on Calabi-Yau varieties and mirror symmetry, December 6–11, 2003. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 0-8218-4251-X/pbk). AMS/IP Studies in Advanced Mathematics 38, 3-18 (2006). Reviewer: Remke Kloosterman (Hannover) MSC: 11G40 14J28 14G10 PDF BibTeX XML Cite \textit{M. J. Bertin}, AMS/IP Stud. Adv. Math. 38, 3--18 (2006; Zbl 1124.11030)
Dobrowolski, Edward Mahler’s measure of a polynomial in terms of the number of its monomials. (English) Zbl 1158.11043 Acta Arith. 123, No. 3, 201-231 (2006). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 11C08 PDF BibTeX XML Cite \textit{E. Dobrowolski}, Acta Arith. 123, No. 3, 201--231 (2006; Zbl 1158.11043) Full Text: DOI
Dubickas, Artūras; Mossinghoff, Michael J. Auxiliary polynomials for some problems regarding Mahler’s measure. (English) Zbl 1074.11018 Acta Arith. 119, No. 1, 65-79 (2005). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C08 11R04 11R09 12D10 PDF BibTeX XML Cite \textit{A. Dubickas} and \textit{M. J. Mossinghoff}, Acta Arith. 119, No. 1, 65--79 (2005; Zbl 1074.11018) Full Text: DOI
Sinclair, Christopher D. The distribution of Mahler’s measures of reciprocal polynomials. (English) Zbl 1097.33018 Int. J. Math. Math. Sci. 2004, No. 49-52, 2773-2786 (2004). Reviewer: Vania Mascioni (Muncie) MSC: 33E20 44A05 PDF BibTeX XML Cite \textit{C. D. Sinclair}, Int. J. Math. Math. Sci. 2004, No. 49--52, 2773--2786 (2004; Zbl 1097.33018) Full Text: DOI arXiv EuDML
Alniaçik, K.; Avci, Y.; Bugeaud, Y. On \(U_m\)-numbers with small transcendence measure. (English) Zbl 1050.11067 Acta Math. Hung. 99, No. 4, 271-277 (2003). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 PDF BibTeX XML Cite \textit{K. Alniaçik} et al., Acta Math. Hung. 99, No. 4, 271--277 (2003; Zbl 1050.11067) Full Text: DOI
Dubickas, Artūras On a height related to the \(abc\) conjecture. (English) Zbl 1045.11073 Indian J. Pure Appl. Math. 34, No. 6, 853-857 (2003). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R09 PDF BibTeX XML Cite \textit{A. Dubickas}, Indian J. Pure Appl. Math. 34, No. 6, 853--857 (2003; Zbl 1045.11073)
Masser, David Heights, transcendence, and linear independence on commutative group varieties. (English) Zbl 1049.11081 Amoroso, Francesco (ed.) et al., Diophantine approximation. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 28–July 6, 2000. Berlin: Springer (ISBN 3-540-40392-2/pbk). Lect. Notes Math. 1819, 1-51 (2003). Reviewer: Damien Roy (Ottawa) MSC: 11J95 11-02 11J81 11G50 11R04 11G10 PDF BibTeX XML Cite \textit{D. Masser}, Lect. Notes Math. 1819, 1--51 (2003; Zbl 1049.11081)
Smyth, Chris J. An explicit formule for the Mahler measure of a family of 3-variable polynomials. (English) Zbl 1071.11018 J. Théor. Nombres Bordx. 14, No. 2, 683-700 (2002). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C08 11G55 11R42 12D99 PDF BibTeX XML Cite \textit{C. J. Smyth}, J. Théor. Nombres Bordx. 14, No. 2, 683--700 (2002; Zbl 1071.11018) Full Text: DOI Numdam EuDML
Boyd, David W. Mahler’s measure and invariants of hyperbolic manifolds. (English) Zbl 1030.11055 Bennett, M. A. (ed.) et al., Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21-26, 2000. Natick, MA: A K Peters. 127-143 (2002). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 57M50 11G50 11R06 PDF BibTeX XML Cite \textit{D. W. Boyd}, in: Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21--26, 2000. Natick, MA: A K Peters. 127--143 (2002; Zbl 1030.11055)
Zhu, Yaochen A note on the irrationality measure of Mahler’s transcendental fractions. (Chinese. English summary) Zbl 1005.11035 Acta Math. Sin. 43, No. 1, 1-8 (2000). MSC: 11J82 PDF BibTeX XML Cite \textit{Y. Zhu}, Acta Math. Sin. 43, No. 1, 1--8 (2000; Zbl 1005.11035)
Laurent, Michel Some remarks on the approximation of complex numbers by algebraic numbers. (English) Zbl 0971.11035 Bull. Greek Math. Soc. 42, 49-57 (1999). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J17 11J68 PDF BibTeX XML Cite \textit{M. Laurent}, Bull. Greek Math. Soc. 42, 49--57 (1999; Zbl 0971.11035) Full Text: EuDML
Amou, Masaaki; Katsurada, Masanori Irrationality results for values of generalized Tschakaloff series. (English) Zbl 0929.11020 J. Number Theory 77, No. 1, 155-169 (1999). Reviewer: J.H.Loxton (North Ryde) MSC: 11J82 PDF BibTeX XML Cite \textit{M. Amou} and \textit{M. Katsurada}, J. Number Theory 77, No. 1, 155--169 (1999; Zbl 0929.11020) Full Text: DOI
Ruzsa, Imre Z. On Mahler’s measure for polynomials in several variables. (English) Zbl 0932.12002 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30–July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 431-444 (1999). Reviewer: W.Narkiewicz (Wrocław) MSC: 12D10 32C15 26C10 PDF BibTeX XML Cite \textit{I. Z. Ruzsa}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 431--444 (1999; Zbl 0932.12002)
Narkiewicz, Władysław The work of Andrzej Schinzel in number theory. (English) Zbl 0935.11001 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 341-357 (1999). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11-03 01A70 11-02 PDF BibTeX XML Cite \textit{W. Narkiewicz}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 341--357 (1999; Zbl 0935.11001)
Bertin, M. J. Some new results on Pisot and Salem numbers. (Quelques nouveaux résultats sur les nombres de Pisot et de Salem.) (French) Zbl 0931.11040 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30–July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 1-9 (1999). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R06 PDF BibTeX XML Cite \textit{M. J. Bertin}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 1--9 (1999; Zbl 0931.11040)
Bertin, M.-J. The operator \(x+(1/x)-2\) and the reciprocal integers. (English) Zbl 0961.11036 Gupta, Rajiv (ed.) et al., Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17-22, 1996. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 19, 17-23 (1999). Reviewer: Arturos Dubickas (Vilnius) MSC: 11R04 11R06 11R80 PDF BibTeX XML Cite \textit{M. J. Bertin}, in: Number theory. Fifth conference of the Canadian Number Theory Association, Ottawa, Ontario, Canada, August 17--22, 1996. Providence, RI: American Mathematical Society. 17--23 (1999; Zbl 0961.11036)
Everest, G. R. On the elliptic analogue of Jensen’s formula. (English) Zbl 0922.11052 J. Lond. Math. Soc., II. Ser. 59, No. 1, 21-36 (1999). Reviewer: G.R.Everest (Norwich) MSC: 11G05 11R09 PDF BibTeX XML Full Text: DOI
Dubickas, Artūras The mean values of logarithms of algebraic integers. (English) Zbl 0923.11145 J. Théor. Nombres Bordx. 10, No. 2, 301-313 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R04 PDF BibTeX XML Cite \textit{A. Dubickas}, J. Théor. Nombres Bordx. 10, No. 2, 301--313 (1998; Zbl 0923.11145) Full Text: DOI Numdam EuDML EMIS
Dubickas, A. On the distribution of roots of polynomials in sectors. II. (English) Zbl 0920.12002 Lith. Math. J. 38, No. 2, 117-130 (1998); reprinted from Liet. Mat. Rink. 38, No. 2, 151-168 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 12D10 30C15 PDF BibTeX XML Cite \textit{A. Dubickas}, Lith. Math. J. 38, No. 2, 117--130 (1998); reprinted from Liet. Mat. Rink. 38, No. 2, 151--168 (1998; Zbl 0920.12002) Full Text: DOI
Dubickas, A. On the distribution of roots of polynomials in sectors. I. (English) Zbl 0920.12001 Lith. Math. J. 38, No. 1, 27-45 (1998); reprinted from Liet. Mat. Rink. 38, No. 1, 34-58 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 12D10 30C15 PDF BibTeX XML Cite \textit{A. Dubickas}, Lith. Math. J. 38, No. 1, 27--45 (1998); reprinted from Liet. Mat. Rink. 38, No. 1, 34--58 (1998; Zbl 0920.12001) Full Text: DOI
Dégot, Jérôme; Jenvrin, Odile Bombieri’s norm versus Mahler’s measure. (English) Zbl 0905.05006 Ill. J. Math. 42, No. 2, 187-197 (1998). Reviewer: Odile Jenvrin (Paris) MSC: 05A20 11C08 30C10 PDF BibTeX XML Cite \textit{J. Dégot} and \textit{O. Jenvrin}, Ill. J. Math. 42, No. 2, 187--197 (1998; Zbl 0905.05006)
Everest, Graham; Pinner, Chris Bounding the elliptic Mahler measure. II. (English) Zbl 0922.11053 J. Lond. Math. Soc., II. Ser. 58, No. 1, 1-8 (1998). Reviewer: G.R.Everest (Norwich) MSC: 11G05 11R09 PDF BibTeX XML Full Text: DOI
Boyd, David W. Uniform approximation to Mahler’s measure in several variables. (English) Zbl 0898.11040 Can. Math. Bull. 41, No. 1, 125-128 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R06 11K16 11Y99 12D99 PDF BibTeX XML Cite \textit{D. W. Boyd}, Can. Math. Bull. 41, No. 1, 125--128 (1998; Zbl 0898.11040) Full Text: DOI
Philippon, Patrice Algebraic independence and \(K\)-functions. (Indépendance algébrique et \(K\)-fonctions.) (French) Zbl 0887.11032 J. Reine Angew. Math. 497, 1-15 (1998). Reviewer: P.Philippon (Paris) MSC: 11J85 11J91 11J82 PDF BibTeX XML Cite \textit{P. Philippon}, J. Reine Angew. Math. 497, 1--15 (1998; Zbl 0887.11032) Full Text: DOI
Amoroso, Francesco Algebraic numbers close to 1: Results and methods. (English) Zbl 0892.11023 Murty, V. Kumar (ed.) et al., Number theory. Proceedings of the international conference on discrete mathematics and number theory, Tiruchirapalli, India, January 3–6, 1996 on the occasion of the 10th anniversary of the Ramanujan Mathematical Society. Providence, RI: American Mathematical Society. Contemp. Math. 210, 305-316 (1998). Reviewer: Daniel Duverney (Lille) MSC: 11J68 11J85 PDF BibTeX XML Cite \textit{F. Amoroso}, Contemp. Math. 210, 305--316 (1998; Zbl 0892.11023)
Dubickas, A. On the maximal conjugate of a totally real algebraic integer. (English) Zbl 0895.11041 Lith. Math. J. 37, No. 1, 13-19 (1997) and Liet. Mat. Rink. 37, No. 1, 18-25 (1997). Reviewer: V.Ennola (Turku) MSC: 11R04 PDF BibTeX XML Cite \textit{A. Dubickas}, Lith. Math. J. 37, No. 1, 13--19 (1997) and Liet. Mat. Rink 37, No. 1, 18--25 (1997; Zbl 0895.11041) Full Text: DOI
Everest, G. R.; Fhlathúin, Bríd Ní The elliptic Mahler measure. (English) Zbl 0865.11068 Math. Proc. Camb. Philos. Soc. 120, No. 1, 13-25 (1996). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R09 11G05 11G35 PDF BibTeX XML Cite \textit{G. R. Everest} and \textit{B. N. Fhlathúin}, Math. Proc. Camb. Philos. Soc. 120, No. 1, 13--25 (1996; Zbl 0865.11068) Full Text: DOI
Fhlathúin, Bríd ní The height on an abelian variety. (English) Zbl 0919.11047 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 121-131 (1996). MSC: 11G35 14G40 PDF BibTeX XML Cite \textit{B. n. Fhlathúin}, Lect. Notes Comput. Sci. 1122, 121--131 (1996; Zbl 0919.11047)
Kerada, Mohamed A characterization of certain classes of algebraic integers generalizing Salem numbers. (Une caractérisation de certaines classes d’entiers algébriques généralisant les nombres de Salem.) (French) Zbl 0837.11057 Acta Arith. 72, No. 1, 55-65 (1995). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R06 11R04 12D10 PDF BibTeX XML Cite \textit{M. Kerada}, Acta Arith. 72, No. 1, 55--65 (1995; Zbl 0837.11057) Full Text: DOI EuDML
Beauzamy, Bernard A generalized Jensen’s inequality for bounded analytic functions. (English) Zbl 0822.30004 Ill. J. Math. 39, No. 2, 196-203 (1995). Reviewer: G.D.Dikshit (Auckland) MSC: 30A10 30C10 PDF BibTeX XML Cite \textit{B. Beauzamy}, Ill. J. Math. 39, No. 2, 196--203 (1995; Zbl 0822.30004)
Mignotte, Maurice; Glesser, Philippe Landau’s inequality via Hadamard’s. (English) Zbl 0827.30004 J. Symb. Comput. 18, No. 4, 379-383 (1994). Reviewer: W.Narkiewicz (Wrocław) MSC: 30C15 12D99 12D05 PDF BibTeX XML Cite \textit{M. Mignotte} and \textit{P. Glesser}, J. Symb. Comput. 18, No. 4, 379--383 (1994; Zbl 0827.30004) Full Text: DOI
Ray, Gary A. A locally parameterized version of Lehmer’s problem. (English) Zbl 0835.11040 Gautschi, Walter (ed.), Mathematics of computation, 1943-1993: a half- century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 48, 573-576 (1994). MSC: 11R09 11Y40 11H55 12Y05 PDF BibTeX XML Cite \textit{G. A. Ray}, Proc. Symp. Appl. Math. 48, 573--576 (1994; Zbl 0835.11040)
Mignotte, Maurice; Glesser, Philippe On the smallest divisor of a polynomial. (English) Zbl 0804.12001 J. Symb. Comput. 17, No. 3, 277-282 (1994). Reviewer: D.W.Boyd (Vancouver) MSC: 12D05 11Y40 12Y05 PDF BibTeX XML Cite \textit{M. Mignotte} and \textit{P. Glesser}, J. Symb. Comput. 17, No. 3, 277--282 (1994; Zbl 0804.12001) Full Text: DOI
Boyd, David W. Bounds for the height of a factor of a polynomial in terms of Bombieri’s norms. II: The smallest factor. (English) Zbl 0802.12002 J. Symb. Comput. 16, No. 2, 131-145 (1993). MSC: 12D05 30C10 PDF BibTeX XML Cite \textit{D. W. Boyd}, J. Symb. Comput. 16, No. 2, 131--145 (1993; Zbl 0802.12002) Full Text: DOI
Boyd, David W. Two sharp inequalities for the norm of a factor of a polynomial. (English) Zbl 0758.30003 Mathematika 39, No. 2, 341-349 (1992). Reviewer: D.W.Boyd MSC: 30C10 12D05 12Y05 PDF BibTeX XML Cite \textit{D. W. Boyd}, Mathematika 39, No. 2, 341--349 (1992; Zbl 0758.30003) Full Text: DOI
Moran, W.; Pearce, C. E. M.; Pollington, A. D. \(T\)-numbers form an \(M_ 0\) set. (English) Zbl 0764.11028 Mathematika 39, No. 1, 18-24 (1992). Reviewer: C.E.M.Pearce (Adelaide) MSC: 11J81 11K60 11J83 PDF BibTeX XML Cite \textit{W. Moran} et al., Mathematika 39, No. 1, 18--24 (1992; Zbl 0764.11028) Full Text: DOI
Kessler, Volker On the minimum of the unit lattice. (English) Zbl 0755.11034 Sémin. Théor. Nombres Bordx., Sér. II 3, No. 2, 377-380 (1991). Reviewer: D.W.Boyd (Vancouver) MSC: 11R27 11H06 PDF BibTeX XML Cite \textit{V. Kessler}, Sémin. Théor. Nombres Bordx., Sér. II 3, No. 2, 377--380 (1991; Zbl 0755.11034) Full Text: DOI Numdam EuDML
Amou, Masaaki Approximation to certain transcendental decimal fractions by algebraic numbers. (English) Zbl 0718.11030 J. Number Theory 37, No. 2, 231-241 (1991). Reviewer: G.Larcher (Salzburg) MSC: 11J82 11J17 11A63 PDF BibTeX XML Cite \textit{M. Amou}, J. Number Theory 37, No. 2, 231--241 (1991; Zbl 0718.11030) Full Text: DOI
Becker, Paul-Georg Effective measures for algebraic independence of the values of Mahler type functions. (English) Zbl 0735.11030 Acta Arith. 58, No. 3, 239-250 (1991). Reviewer: P.Philippon (Paris) MSC: 11J82 11J85 PDF BibTeX XML Cite \textit{P.-G. Becker}, Acta Arith. 58, No. 3, 239--250 (1991; Zbl 0735.11030) Full Text: DOI EuDML
Glesser, Philippe Nouvelle majoration de la norme des facteurs d’un polynôme. (New upper bounds for the norm of the factors of a polynomial). (French) Zbl 0729.12001 C. R. Math. Acad. Sci., Soc. R. Can. 12, No. 6, 224-228 (1990). Reviewer: D.W.Boyd (Vancouver) MSC: 12D05 26D05 30C10 PDF BibTeX XML Cite \textit{P. Glesser}, C. R. Math. Acad. Sci., Soc. R. Can. 12, No. 6, 224--228 (1990; Zbl 0729.12001)
Bertin, Marie José; Pathiaux-Delefosse, Martine Lehmer’s conjecture and small Salem numbers. (Conjecture de Lehmer et petits nombres de Salem.) (French) Zbl 0707.11073 Queen’s Papers in Pure and Applied Mathematics, 81. Kingston: Queen’s University. 144 p. (1989). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 11-02 PDF BibTeX XML Cite \textit{M. J. Bertin} and \textit{M. Pathiaux-Delefosse}, Conjecture de Lehmer et petits nombres de Salem. Kingston: Queen's University (1989; Zbl 0707.11073)
Mignotte, Maurice Sur un théorème de M. Langevin. (On a theorem of M. Langevin). (French) Zbl 0641.12003 Acta Arith. 54, No. 1, 81-86 (1989). Reviewer: M.Mignotte MSC: 11R04 PDF BibTeX XML Cite \textit{M. Mignotte}, Acta Arith. 54, No. 1, 81--86 (1989; Zbl 0641.12003) Full Text: DOI EuDML
Ray, Gary Alan Relations between Mahler’s measure and values of L-series. (English) Zbl 0621.12005 Can. J. Math. 39, No. 3, 694-732 (1987). MSC: 11R09 11M06 11R11 11R04 PDF BibTeX XML Cite \textit{G. A. Ray}, Can. J. Math. 39, No. 3, 694--732 (1987; Zbl 0621.12005) Full Text: DOI
Boyd, David W. Inverse problems for Mahler’s measure. (English) Zbl 0612.12002 Diophantine analysis, Proc. Number Theory Sect. Aust. Math. Soc. Conv., Univ. New South Wales 1985, Lond. Math. Soc. Lect. Note Ser. 109, 147-158 (1986). Reviewer: A.J.van der Poorten MSC: 11R06 12D10 11J68 11J17 PDF BibTeX XML
Langevin, Michel Minorations de la maison et de la mesure de Mahler de certains entiers algébriques. (Lower bounds for the greatest absolute value of conjugates and for the Mahler’s measure of some algebraic integers). (French) Zbl 0604.12001 C. R. Acad. Sci., Paris, Sér. I 303, 523-526 (1986). Reviewer: D.W.Boyd MSC: 11R09 12D10 11R06 PDF BibTeX XML Cite \textit{M. Langevin}, C. R. Acad. Sci., Paris, Sér. I 303, 523--526 (1986; Zbl 0604.12001)
Molchanov, S. M. Estimates of transcendence measures in Mahler’s method. (Russian) Zbl 0645.10032 Diophantine approximations, 1, Collect. Artic., Moskva 1985, 56-65 (1985). Reviewer: Kunrui Yu (Beijing) MSC: 11J91 PDF BibTeX XML
Cantor, D. G.; Straus, E. G. On a conjecture of D. H. Lehmer. (English) Zbl 0504.12002 Acta Arith. 42, 97-100 (1982). MSC: 11R04 11R06 PDF BibTeX XML Cite \textit{D. G. Cantor} and \textit{E. G. Straus}, Acta Arith. 42, 97--100 (1982; Zbl 0504.12002) Full Text: DOI EuDML
Durand, Alain On Mahler’s measure of a polynomial. (English) Zbl 0469.30011 Proc. Am. Math. Soc. 83, 75-76 (1981). MSC: 30C15 PDF BibTeX XML Cite \textit{A. Durand}, Proc. Am. Math. Soc. 83, 75--76 (1981; Zbl 0469.30011) Full Text: DOI
Sprindzhuk, V. G. A proof of Mahler’s conjecture on the measure of the set of \(S\)-numbers. (Russian) Zbl 0156.05405 Izv. Akad. Nauk SSSR, Ser. Mat. 29, 379-436 (1965). Reviewer: Tibor Šalát (Bratislava) MSC: 11J82 PDF BibTeX XML Cite \textit{V. G. Sprindzhuk}, Izv. Akad. Nauk SSSR, Ser. Mat. 29, 379--436 (1965; Zbl 0156.05405)
Sprindzhuk, V. G. On K. Mahler’s conjecture on the measure of the set of \(S\)-numbers. (Russian. English summary) Zbl 0119.04801 Litov. Mat. Sb. 2, No. 2, 221-226 (1962). Reviewer: Kurt Mahler (Manchester) MSC: 11J82 PDF BibTeX XML Cite \textit{V. G. Sprindzhuk}, Litov. Mat. Sb. 2, No. 2, 221--226 (1962; Zbl 0119.04801)
Bagemihl, F. Some sets of sums and differences. (English) Zbl 0082.04101 Mich. Math. J. 4, 289-290 (1958). Reviewer: Bodo Volkmann (Stuttgart) MSC: 11B05 28A05 PDF BibTeX XML Cite \textit{F. Bagemihl}, Mich. Math. J. 4, 289--290 (1958; Zbl 0082.04101) Full Text: DOI