Samuels, Charles L. Continued fraction expansions in connection with the metric Mahler measure. (English) Zbl 1419.11119 Monatsh. Math. 181, No. 4, 907-935 (2016). MSC: 11R06 11A51 11G50 11J70 11R09 PDFBibTeX XMLCite \textit{C. L. Samuels}, Monatsh. Math. 181, No. 4, 907--935 (2016; Zbl 1419.11119) Full Text: DOI arXiv
Samuels, Charles L.; Strunk, Tanner J. Optimal factorizations of rational numbers using factorization trees. (English) Zbl 1398.11134 Int. J. Number Theory 11, No. 3, 739-769 (2015). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R09 05C05 05C20 68P05 PDFBibTeX XMLCite \textit{C. L. Samuels} and \textit{T. J. Strunk}, Int. J. Number Theory 11, No. 3, 739--769 (2015; Zbl 1398.11134) Full Text: DOI arXiv
Samuels, Charles L. Metric heights on an abelian group. (English) Zbl 1306.11084 Rocky Mt. J. Math. 44, No. 6, 2075-2091 (2014). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11R04 11R09 20K99 26A06 30D20 PDFBibTeX XMLCite \textit{C. L. Samuels}, Rocky Mt. J. Math. 44, No. 6, 2075--2091 (2014; Zbl 1306.11084) Full Text: DOI arXiv Euclid
Borwein, Peter; Choi, Kwok-Kwong Stephen; Martin, Greg; Samuels, Charles L. Polynomials whose reducibility is related to the Goldbach conjecture. (English) Zbl 1281.11089 JP J. Algebra Number Theory Appl. 26, No. 1, 33-63 (2012). Reviewer: Angel V. Kumchev (Towson) MSC: 11P32 11C08 PDFBibTeX XMLCite \textit{P. Borwein} et al., JP J. Algebra Number Theory Appl. 26, No. 1, 33--63 (2012; Zbl 1281.11089) Full Text: arXiv Link
Jankauskas, J.; Samuels, C. L. The \(t\)-metric Mahler measures of surds and rational numbers. (English) Zbl 1254.11095 Acta Math. Hung. 134, No. 4, 481-498 (2012). Reviewer: Arturas Dubickas (Vilnius) MSC: 11R06 11R04 11R09 12E05 PDFBibTeX XMLCite \textit{J. Jankauskas} and \textit{C. L. Samuels}, Acta Math. Hung. 134, No. 4, 481--498 (2012; Zbl 1254.11095) Full Text: DOI arXiv
Samuels, Charles L. The infimum in the metric Mahler measure. (English) Zbl 1295.11116 Can. Math. Bull. 54, No. 4, 739-747 (2011). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R09 PDFBibTeX XMLCite \textit{C. L. Samuels}, Can. Math. Bull. 54, No. 4, 739--747 (2011; Zbl 1295.11116) Full Text: DOI arXiv
Samuels, Charles L. The parametrized family of metric Mahler measures. (English) Zbl 1238.11095 J. Number Theory 131, No. 6, 1070-1088 (2011). Reviewer: Chris Smyth (Edinburgh) MSC: 11R04 11R09 30D20 54A10 PDFBibTeX XMLCite \textit{C. L. Samuels}, J. Number Theory 131, No. 6, 1070--1088 (2011; Zbl 1238.11095) Full Text: DOI arXiv
Samuels, Charles L. A collection of metric Mahler measures. (English) Zbl 1256.11057 J. Ramanujan Math. Soc. 25, No. 4, 433-456 (2010). MSC: 11R04 11R09 11R06 PDFBibTeX XMLCite \textit{C. L. Samuels}, J. Ramanujan Math. Soc. 25, No. 4, 433--456 (2010; Zbl 1256.11057) Full Text: arXiv
Fili, Paul; Samuels, Charles L. On the non-archimedean metric Mahler measure. (English) Zbl 1196.11143 J. Number Theory 129, No. 7, 1698-1708 (2009). Reviewer: Chris Smyth (Edinburgh) MSC: 11R04 11R09 PDFBibTeX XMLCite \textit{P. Fili} and \textit{C. L. Samuels}, J. Number Theory 129, No. 7, 1698--1708 (2009; Zbl 1196.11143) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{C. L. Samuels}, Acta Arith. 137, No. 3, 241--251 (2009; Zbl 1218.11100) Full Text: DOI arXiv
Samuels, Charles L. The Weil height in terms of an auxiliary polynomial. (English) Zbl 1146.11054 Acta Arith. 128, No. 3, 209-221 (2007). Reviewer: Charles Parry (Blacksburg) MSC: 11R04 11R09 PDFBibTeX XMLCite \textit{C. L. Samuels}, Acta Arith. 128, No. 3, 209--221 (2007; Zbl 1146.11054) Full Text: DOI arXiv