Chesi, Graziano Worst-case Mahler measure in polytopic uncertain systems. (English) Zbl 1369.93436 IEEE Trans. Autom. Control 57, No. 12, 3208-3213 (2012). MSC: 93D05 11R06 93D09 PDFBibTeX XMLCite \textit{G. Chesi}, IEEE Trans. Autom. Control 57, No. 12, 3208--3213 (2012; Zbl 1369.93436) Full Text: DOI
Vaz, Sandra; Rodrigues, Pedro Martins Periodicity of \(\beta\)-expansions for certain Pisot units. (English. French summary) Zbl 1360.37103 ESAIM, Proc. 36, 48-60 (2012). MSC: 37E05 37C15 11C20 11R06 11A63 PDFBibTeX XMLCite \textit{S. Vaz} and \textit{P. M. Rodrigues}, ESAIM, Proc. 36, 48--60 (2012; Zbl 1360.37103) Full Text: DOI
Zinevičius, Albertas \(x^5-y^2=4\) and Gaussian integers. (English) Zbl 1354.11026 Šiauliai Math. Semin. 7(15), 157-161 (2012). MSC: 11D41 11R06 PDFBibTeX XMLCite \textit{A. Zinevičius}, Šiauliai Math. Semin. 7(15), 157--161 (2012; Zbl 1354.11026)
Reschke, Paul Salem numbers and automorphisms of complex surfaces. (English) Zbl 1427.14087 Math. Res. Lett. 19, No. 2, 475-482 (2012). MSC: 14J50 11R06 14J28 32J15 32M99 37F99 PDFBibTeX XMLCite \textit{P. Reschke}, Math. Res. Lett. 19, No. 2, 475--482 (2012; Zbl 1427.14087) Full Text: DOI arXiv
Rainchik, V. S. Representation of certain logarithmic functions as polynomials with a small number of nonzero coefficients. (English. Russian original) Zbl 1277.11098 Math. Notes 92, No. 1, 64-69 (2012); translation from Mat. Zametki 92, No. 1, 68-73 (2012). MSC: 11R04 11R06 PDFBibTeX XMLCite \textit{V. S. Rainchik}, Math. Notes 92, No. 1, 64--69 (2012; Zbl 1277.11098); translation from Mat. Zametki 92, No. 1, 68--73 (2012) Full Text: DOI
Brunotte, Horst Generalized complex Perron numbers. (English) Zbl 1292.11118 J. Algebra Number Theory, Adv. Appl. 7, No. 1, 47-55 (2012). MSC: 11R04 11R06 PDFBibTeX XMLCite \textit{H. Brunotte}, J. Algebra Number Theory, Adv. Appl. 7, No. 1, 47--55 (2012; Zbl 1292.11118)
Hu, Tian-You A property of Pisot numbers and Fourier transforms of self-similar measures. (English) Zbl 1354.42008 Sci. China, Math. 55, No. 8, 1721-1733 (2012). MSC: 42A38 11R06 28A80 PDFBibTeX XMLCite \textit{T.-Y. Hu}, Sci. China, Math. 55, No. 8, 1721--1733 (2012; Zbl 1354.42008) Full Text: DOI
Glasser, M. L. A note on a hyper-cubic Mahler measure and associated Bessel integral. (English) Zbl 1266.33006 J. Phys. A, Math. Theor. 45, No. 49, Article ID 494002, 4 p. (2012). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C10 33C20 11R06 PDFBibTeX XMLCite \textit{M. L. Glasser}, J. Phys. A, Math. Theor. 45, No. 49, Article ID 494002, 4 p. (2012; Zbl 1266.33006) Full Text: DOI arXiv
Borwein, David; Borwein, Jonathan M.; Straub, Armin; Wan, James Log-sine evaluations of Mahler measures. II. (English) Zbl 1266.33022 Integers 12, No. 6, 1179-1212, A5 (2012). Reviewer: Matilde Lalin (Montreal) MSC: 33E20 33F10 11R06 11R09 PDFBibTeX XMLCite \textit{D. Borwein} et al., Integers 12, No. 6, 1179--1212, A5 (2012; Zbl 1266.33022) Full Text: DOI arXiv EMIS
Dubickas, Artūras Density of some sequences modulo 1. (English) Zbl 1316.11066 Colloq. Math. 128, No. 2, 237-244 (2012). MSC: 11K06 11K31 11R06 PDFBibTeX XMLCite \textit{A. Dubickas}, Colloq. Math. 128, No. 2, 237--244 (2012; Zbl 1316.11066) Full Text: DOI
Zaïmi, Toufik Comments on the distribution modulo one of powers of Pisot and Salem numbers. (English) Zbl 1263.11067 Publ. Math. Debr. 80, No. 3-4, 417-426 (2012). Reviewer: Piroska Lakatos (Debrecen) MSC: 11J71 11R06 11R04 PDFBibTeX XMLCite \textit{T. Zaïmi}, Publ. Math. Debr. 80, No. 3--4, 417--426 (2012; Zbl 1263.11067) Full Text: DOI
Bertrand-Mathis, Anne Pisot numbers, primitive matrices and beta-conjugates. (Nombres de Pisots, matrices primitives et bêta-conjugués.) (French. English summary) Zbl 1285.11131 J. Théor. Nombres Bordx. 24, No. 1, 57-72 (2012). Reviewer: Roland Quême (Brax) MSC: 11R06 11B85 15A18 PDFBibTeX XMLCite \textit{A. Bertrand-Mathis}, J. Théor. Nombres Bordx. 24, No. 1, 57--72 (2012; Zbl 1285.11131) Full Text: DOI
Zaïmi, Toufik On the distribution of certain Pisot numbers. (English) Zbl 1306.11059 Indag. Math., New Ser. 23, No. 3, 318-326 (2012). MSC: 11K16 11J71 11R06 PDFBibTeX XMLCite \textit{T. Zaïmi}, Indag. Math., New Ser. 23, No. 3, 318--326 (2012; Zbl 1306.11059) Full Text: DOI
Bugeaud, Yann; Moshchevitin, Nikolay On fractional parts of powers of real numbers close to 1. (English) Zbl 1246.11134 Math. Z. 271, No. 3-4, 627-637 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 11K31 11R06 PDFBibTeX XMLCite \textit{Y. Bugeaud} and \textit{N. Moshchevitin}, Math. Z. 271, No. 3--4, 627--637 (2012; Zbl 1246.11134) Full Text: DOI arXiv
Todd, Robert G. Some families of links with divergent Mahler measure. (English) Zbl 1250.57017 Geom. Dedicata 159, 337-351 (2012). MSC: 57M25 11R06 PDFBibTeX XMLCite \textit{R. G. Todd}, Geom. Dedicata 159, 337--351 (2012; Zbl 1250.57017) Full Text: DOI
Borwein, Jonathan M.; Straub, Armin Log-sine evaluations of Mahler measures. (English) Zbl 1277.33019 J. Aust. Math. Soc. 92, No. 1, 15-36 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 33E20 33F10 11R06 11M32 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{A. Straub}, J. Aust. Math. Soc. 92, No. 1, 15--36 (2012; Zbl 1277.33019) Full Text: DOI arXiv
Dubickas, Artūras A basis of finite and infinite sets with small representation function. (English) Zbl 1288.11012 Electron. J. Comb. 19, No. 1, Research Paper P6, 16 p. (2012). MSC: 11B34 11B13 11B83 11R06 PDFBibTeX XMLCite \textit{A. Dubickas}, Electron. J. Comb. 19, No. 1, Research Paper P6, 16 p. (2012; Zbl 1288.11012) Full Text: EMIS
Mckee, James; Smyth, Chris Salem numbers and Pisot numbers via interlacing. (English) Zbl 1333.11097 Can. J. Math. 64, No. 2, 345-367 (2012). MSC: 11R06 PDFBibTeX XMLCite \textit{J. Mckee} and \textit{C. Smyth}, Can. J. Math. 64, No. 2, 345--367 (2012; Zbl 1333.11097) Full Text: DOI arXiv Link
Bell, Jason P.; Hare, Kevin G. Corrigendum to “On \(\mathbb {Z}\)-modules of algebraic integers”. (English) Zbl 1329.11112 Can. J. Math. 64, No. 2, 254-256 (2012). MSC: 11R04 11R06 PDFBibTeX XMLCite \textit{J. P. Bell} and \textit{K. G. Hare}, Can. J. Math. 64, No. 2, 254--256 (2012; Zbl 1329.11112) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{C. Kalle} and \textit{W. Steiner}, Trans. Am. Math. Soc. 364, No. 5, 2281--2318 (2012; Zbl 1295.11010) Full Text: DOI arXiv
Rogers, Mathew; Zudilin, Wadim From \(L\)-series of elliptic curves to Mahler measures. (English) Zbl 1260.11062 Compos. Math. 148, No. 2, 385-414 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 33C20 11F03 11G05 19F27 33C75 33E05 PDFBibTeX XMLCite \textit{M. Rogers} and \textit{W. Zudilin}, Compos. Math. 148, No. 2, 385--414 (2012; Zbl 1260.11062) Full Text: DOI arXiv
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
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 PDFBibTeX XMLCite \textit{R. Ghorbel} et al., Int. J. Algebra Comput. 22, No. 2, Article ID 1250010, 12 p. (2012; Zbl 1333.11072) Full Text: DOI
Taylor, Graeme Lehmer’s conjecture for matrices over the ring of integers of some imaginary quadratic fields. (English) Zbl 1257.11096 J. Number Theory 132, No. 4, 590-607 (2012). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 11R11 15B33 PDFBibTeX XMLCite \textit{G. Taylor}, J. Number Theory 132, No. 4, 590--607 (2012; Zbl 1257.11096) Full Text: DOI arXiv
Hbaib, Mohamed Beta-expansions with Pisot bases over \(\mathbb F_q ((x^{-1}))\). (English) Zbl 1257.11095 Bull. Korean Math. Soc. 49, No. 1, 127-133 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 37B50 PDFBibTeX XMLCite \textit{M. Hbaib}, Bull. Korean Math. Soc. 49, No. 1, 127--133 (2012; Zbl 1257.11095) Full Text: DOI
Morisawa, Takayuki Mahler measure of the Horie unit and Weber’s class number problem in the cyclotomic \(\mathbb Z_{3}\)-extension of \(\mathbb Q\). (English) Zbl 1325.11121 Acta Arith. 153, No. 1, 35-49 (2012). Reviewer: Roland Quême (Brax) MSC: 11R29 11R06 11R18 PDFBibTeX XMLCite \textit{T. Morisawa}, Acta Arith. 153, No. 1, 35--49 (2012; Zbl 1325.11121) Full Text: DOI
Zaimi, Toufik On the spectra of Pisot numbers. (English) Zbl 1303.11118 Glasg. Math. J. 54, No. 1, 127-132 (2012). MSC: 11R06 11J71 PDFBibTeX XMLCite \textit{T. Zaimi}, Glasg. Math. J. 54, No. 1, 127--132 (2012; Zbl 1303.11118) Full Text: DOI
Zudilin, Wadim Transformations of \(L\)-values. arXiv:1202.5630 Preprint, arXiv:1202.5630 [math.NT] (2012). MSC: 11F67 11F03 11R06 14H52 19F27 33E05 BibTeX Cite \textit{W. Zudilin}, ``Transformations of $L$-values'', Preprint, arXiv:1202.5630 [math.NT] (2012) Full Text: arXiv OA License