Blackman, John Reformulating the \(p\)-adic Littlewood conjecture in terms of infinite loops mod \(p^k\). (English) Zbl 1526.11037 J. Number Theory 249, 209-236 (2023). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J61 11J04 11J70 11J13 11J83 PDFBibTeX XMLCite \textit{J. Blackman}, J. Number Theory 249, 209--236 (2023; Zbl 1526.11037) Full Text: DOI
de Mathan, Bernard On certain simultaneous rational approximations in \(\mathbb{R}^2\) and certain rational approximations in \(\mathbb{Q}_p\). (English) Zbl 1523.11126 Monatsh. Math. 200, No. 4, 849-901 (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J13 11J61 11J68 PDFBibTeX XMLCite \textit{B. de Mathan}, Monatsh. Math. 200, No. 4, 849--901 (2023; Zbl 1523.11126) Full Text: DOI
Badziahin, Dzmitry; Bugeaud, Yann Multiplicative \(p\)-adic approximation. (English) Zbl 1496.11094 Mich. Math. J. 71, No. 1, 121-143 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11J04 11J61 11J83 PDFBibTeX XMLCite \textit{D. Badziahin} and \textit{Y. Bugeaud}, Mich. Math. J. 71, No. 1, 121--143 (2022; Zbl 1496.11094) Full Text: DOI
Adiceam, Faustin; Nesharim, Erez; Lunnon, Fred On the \(t\)-adic Littlewood conjecture. (English) Zbl 1478.11093 Duke Math. J. 170, No. 10, 2371-2419 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11J04 11J61 11B85 37A17 PDFBibTeX XMLCite \textit{F. Adiceam} et al., Duke Math. J. 170, No. 10, 2371--2419 (2021; Zbl 1478.11093) Full Text: DOI arXiv
Badziahin, D. On \(t\)-adic Littlewood conjecture for certain infinite products. (English) Zbl 1522.11073 Proc. Am. Math. Soc. 149, No. 11, 4527-4540 (2021). MSC: 11J61 11C20 11B85 PDFBibTeX XMLCite \textit{D. Badziahin}, Proc. Am. Math. Soc. 149, No. 11, 4527--4540 (2021; Zbl 1522.11073) Full Text: DOI arXiv
de Mathan, Bernard On the \(p\)-adic rational approximation. (Sur l’approximation rationnelle \(p\)-adique.) (English. French summary) Zbl 1457.11098 J. Théor. Nombres Bordx. 31, No. 2, 417-430 (2019). MSC: 11J13 11J61 11J86 PDFBibTeX XMLCite \textit{B. de Mathan}, J. Théor. Nombres Bordx. 31, No. 2, 417--430 (2019; Zbl 1457.11098) Full Text: DOI
Liu, Wencai Some refined results on the mixed Littlewood conjecture for pseudo-absolute values. (English) Zbl 1441.11189 J. Aust. Math. Soc. 107, No. 1, 91-109 (2019). MSC: 11K60 PDFBibTeX XMLCite \textit{W. Liu}, J. Aust. Math. Soc. 107, No. 1, 91--109 (2019; Zbl 1441.11189) Full Text: DOI arXiv
Gorodnik, Alexander; Vishe, Pankaj Diophantine approximation for products of linear maps – logarithmic improvements. (English) Zbl 1440.11124 Trans. Am. Math. Soc. 370, No. 1, 487-507 (2018). MSC: 11J25 11D75 11J20 11K60 37A17 37A44 PDFBibTeX XMLCite \textit{A. Gorodnik} and \textit{P. Vishe}, Trans. Am. Math. Soc. 370, No. 1, 487--507 (2018; Zbl 1440.11124) Full Text: DOI arXiv
Kemarsky, Alexander; Paulin, Frédéric; Shapira, Uri Escape of mass in homogeneous dynamics in positive characteristic. (English) Zbl 1502.22004 J. Mod. Dyn. 11, 369-407 (2017). MSC: 22D40 20G30 37A17 37D40 PDFBibTeX XMLCite \textit{A. Kemarsky} et al., J. Mod. Dyn. 11, 369--407 (2017; Zbl 1502.22004) Full Text: DOI arXiv
Badziahin, Dzmitry; Harrap, Stephen Cantor-winning sets and their applications. (English) Zbl 1430.11101 Adv. Math. 318, 627-677 (2017). MSC: 11J83 11J13 91A44 PDFBibTeX XMLCite \textit{D. Badziahin} and \textit{S. Harrap}, Adv. Math. 318, 627--677 (2017; Zbl 1430.11101) Full Text: DOI arXiv Link
Haynes, Alan; Koivusalo, Henna A randomized version of the Littlewood conjecture. (English) Zbl 1418.11108 J. Number Theory 178, 201-207 (2017). MSC: 11J13 60D05 PDFBibTeX XMLCite \textit{A. Haynes} and \textit{H. Koivusalo}, J. Number Theory 178, 201--207 (2017; Zbl 1418.11108) Full Text: DOI arXiv
Badziahin, Dzmitry Computation of the infimum in the Littlewood conjecture. (English) Zbl 1415.11092 Exp. Math. 25, No. 1, 100-105 (2016). MSC: 11J13 PDFBibTeX XMLCite \textit{D. Badziahin}, Exp. Math. 25, No. 1, 100--105 (2016; Zbl 1415.11092) Full Text: DOI Link
Bengoechea, Paloma; Zorin, Evgeniy On the mixed Littlewood conjecture and continued fractions in quadratic fields. (English) Zbl 1402.11100 J. Number Theory 162, 1-10 (2016). MSC: 11J13 11J61 11J68 11J70 PDFBibTeX XMLCite \textit{P. Bengoechea} and \textit{E. Zorin}, J. Number Theory 162, 1--10 (2016; Zbl 1402.11100) Full Text: DOI arXiv
Badziahin, Dmitry; Bugeaud, Yann; Einsiedler, Manfred; Kleinbock, Dmitry On the complexity of a putative counterexample to the \(p\)-adic Littlewood conjecture. (English) Zbl 1331.11049 Compos. Math. 151, No. 9, 1647-1662 (2015). Reviewer: Roland Quême (Brax) MSC: 11J04 11J61 11J83 37A35 37A45 37D40 PDFBibTeX XMLCite \textit{D. Badziahin} et al., Compos. Math. 151, No. 9, 1647--1662 (2015; Zbl 1331.11049) Full Text: DOI arXiv
Bugeaud, Yann On the multiples of a badly approximable vector. (English) Zbl 1325.11062 Acta Arith. 168, No. 1, 71-81 (2015). Reviewer: Roland Quême (Brax) MSC: 11J13 11J70 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Acta Arith. 168, No. 1, 71--81 (2015; Zbl 1325.11062) Full Text: DOI Link
Haynes, A.; Jensen, J. L.; Kristensen, S. Metrical musings on Littlewood and friends. (English) Zbl 1327.11050 Proc. Am. Math. Soc. 142, No. 2, 457-466 (2014). Reviewer: Enrico Zoli (Firenze) MSC: 11J83 11H46 PDFBibTeX XMLCite \textit{A. Haynes} et al., Proc. Am. Math. Soc. 142, No. 2, 457--466 (2014; Zbl 1327.11050) Full Text: DOI arXiv
Harrap, Stephen; Haynes, Alan The mixed Littlewood conjecture for pseudo-absolute values. (English) Zbl 1300.11082 Math. Ann. 357, No. 3, 941-960 (2013). Reviewer: Christoph Aistleitner (Kobe) MSC: 11K60 37A45 11J83 11J86 PDFBibTeX XMLCite \textit{S. Harrap} and \textit{A. Haynes}, Math. Ann. 357, No. 3, 941--960 (2013; Zbl 1300.11082) Full Text: DOI arXiv
de Mathan, Bernard Linear forms at a basis of an algebraic number field. (English) Zbl 1254.11069 J. Number Theory 132, No. 1, 1-25 (2012). Reviewer: Roland Quême (Brax) MSC: 11J13 11J86 PDFBibTeX XMLCite \textit{B. de Mathan}, J. Number Theory 132, No. 1, 1--25 (2012; Zbl 1254.11069) Full Text: DOI
Badziahin, Dzmitry; Velani, Sanju Multiplicatively badly approximable numbers and generalised Cantor sets. (English) Zbl 1235.11071 Adv. Math. 228, No. 5, 2766-2796 (2011). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11J13 PDFBibTeX XMLCite \textit{D. Badziahin} and \textit{S. Velani}, Adv. Math. 228, No. 5, 2766--2796 (2011; Zbl 1235.11071) Full Text: DOI arXiv Link
Badziahin, Dzmitry; Levesley, Jason; Velani, Sanju The mixed Schmidt conjecture in the theory of Diophantine approximation. (English) Zbl 1241.11095 Mathematika 57, No. 2, 239-245 (2011). Reviewer: Simon Kristensen (Aarhus) MSC: 11K60 11K55 PDFBibTeX XMLCite \textit{D. Badziahin} et al., Mathematika 57, No. 2, 239--245 (2011; Zbl 1241.11095) Full Text: DOI arXiv
Bugeaud, Yann; Haynes, Alan; Velani, Sanju Metric considerations concerning the mixed Littlewood conjecture. (English) Zbl 1259.11069 Int. J. Number Theory 7, No. 3, 593-609 (2011). Reviewer: Jason Levesley (York) MSC: 11J83 11J25 11K55 11K60 PDFBibTeX XMLCite \textit{Y. Bugeaud} et al., Int. J. Number Theory 7, No. 3, 593--609 (2011; Zbl 1259.11069) Full Text: DOI arXiv
Einsiedler, Manfred; Fishman, Lior; Shapira, Uri Diophantine approximations on fractals. (English) Zbl 1244.11070 Geom. Funct. Anal. 21, No. 1, 14-35 (2011). Reviewer: Enrico Zoli (Firenze) MSC: 11J83 11J70 11J13 37A17 37A35 PDFBibTeX XMLCite \textit{M. Einsiedler} et al., Geom. Funct. Anal. 21, No. 1, 14--35 (2011; Zbl 1244.11070) Full Text: DOI arXiv Link
Bugeaud, Yann; Moshchevitin, Nikolay Badly approximable numbers and Littlewood-type problems. (English) Zbl 1231.11071 Math. Proc. Camb. Philos. Soc. 150, No. 2, 215-226 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11J04 11J13 11J61 PDFBibTeX XMLCite \textit{Y. Bugeaud} and \textit{N. Moshchevitin}, Math. Proc. Camb. Philos. Soc. 150, No. 2, 215--226 (2011; Zbl 1231.11071) Full Text: DOI arXiv
de Mathan, Bernard On a mixed Littlewood conjecture for quadratic numbers. (English) Zbl 1165.11325 J. Théor. Nombres Bordx. 17, No. 1, 207-215 (2005). MSC: 11J13 11J61 PDFBibTeX XMLCite \textit{B. de Mathan}, J. Théor. Nombres Bordx. 17, No. 1, 207--215 (2005; Zbl 1165.11325) Full Text: DOI Numdam Numdam EuDML