Mañibo, Neil Renormalisation for inflation tilings. II: Connections to number theory. (English) Zbl 07442395 Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 709-711 (2021). Reviewer: Anton Shutov (Vladimir) MSC: 52C23 37B52 11J82 PDF BibTeX XML Cite \textit{N. Mañibo}, MATRIX Book Ser. 4, 709--711 (2021; Zbl 07442395) Full Text: DOI OpenURL
Ohnaka, Suzue; Watanabe, Takao A gap of the exponents of repetitions of Sturmian words. (English) Zbl 07412282 Mosc. J. Comb. Number Theory 10, No. 3, 203-234 (2021). MSC: 68R15 11A55 11A63 PDF BibTeX XML Cite \textit{S. Ohnaka} and \textit{T. Watanabe}, Mosc. J. Comb. Number Theory 10, No. 3, 203--234 (2021; Zbl 07412282) Full Text: DOI arXiv OpenURL
Zeilberger, Doron; Zudilin, Wadim Automatic discovery of irrationality proofs and irrationality measures. (English) Zbl 1468.11160 Int. J. Number Theory 17, No. 3, 815-825 (2021). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J71 11Y60 33F10 PDF BibTeX XML Cite \textit{D. Zeilberger} and \textit{W. Zudilin}, Int. J. Number Theory 17, No. 3, 815--825 (2021; Zbl 1468.11160) Full Text: DOI arXiv OpenURL
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 OpenURL
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata Irrationality exponents of certain fast converging series of rational numbers. (English) Zbl 1481.11072 Tsukuba J. Math. 44, No. 2, 235-250 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11J82 11J91 PDF BibTeX XML Cite \textit{D. Duverney} et al., Tsukuba J. Math. 44, No. 2, 235--250 (2020; Zbl 1481.11072) Full Text: DOI OpenURL
Zeilberger, Doron; Zudilin, Wadim The irrationality measure of \(\pi\) is at most 7.103205334137…. (English) Zbl 1456.11129 Mosc. J. Comb. Number Theory 9, No. 4, 407-419 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33F10 33C60 PDF BibTeX XML Cite \textit{D. Zeilberger} and \textit{W. Zudilin}, Mosc. J. Comb. Number Theory 9, No. 4, 407--419 (2020; Zbl 1456.11129) Full Text: DOI arXiv OpenURL
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata Irrationality exponents of generalized Hone series. (English) Zbl 1452.11088 Monatsh. Math. 193, No. 2, 291-303 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J70 PDF BibTeX XML Cite \textit{D. Duverney} et al., Monatsh. Math. 193, No. 2, 291--303 (2020; Zbl 1452.11088) Full Text: DOI arXiv OpenURL
Duverney, Daniel; Shiokawa, Iekata Irrationality exponents of numbers related with Cahen’s constant. (English) Zbl 1436.11085 Monatsh. Math. 191, No. 1, 53-76 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J70 PDF BibTeX XML Cite \textit{D. Duverney} and \textit{I. Shiokawa}, Monatsh. Math. 191, No. 1, 53--76 (2020; Zbl 1436.11085) Full Text: DOI OpenURL
Becher, Verónica; Reimann, Jan; Slaman, Theodore A. Irrationality exponent, Hausdorff dimension and effectivization. (English) Zbl 1448.11142 Monatsh. Math. 185, No. 2, 167-188 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J83 03D32 PDF BibTeX XML Cite \textit{V. Becher} et al., Monatsh. Math. 185, No. 2, 167--188 (2018; Zbl 1448.11142) Full Text: DOI arXiv Link OpenURL
Bugeaud, Yann Effective irrationality measures for real and \(p\)-adic roots of rational numbers close to \(1\), with an application to parametric families of Thue-Mahler equations. (English) Zbl 1439.11172 Math. Proc. Camb. Philos. Soc. 164, No. 1, 99-108 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 11J82 11D59 11D61 11J68 11J86 PDF BibTeX XML Cite \textit{Y. Bugeaud}, Math. Proc. Camb. Philos. Soc. 164, No. 1, 99--108 (2018; Zbl 1439.11172) Full Text: DOI arXiv OpenURL
Fishman, Lior; Simmons, David; Urbański, Mariusz Diophantine properties of measures invariant with respect to the Gauss map. (English) Zbl 1315.11063 J. Anal. Math. 122, 289-315 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11J82 37A45 11J83 PDF BibTeX XML Cite \textit{L. Fishman} et al., J. Anal. Math. 122, 289--315 (2014; Zbl 1315.11063) Full Text: DOI arXiv OpenURL
Zudilin, W. On the irrationality measure of \(\pi^2\). (English. Russian original) Zbl 1286.11111 Russ. Math. Surv. 68, No. 6, 1133-1135 (2013); translation from Usp. Mat. Nauk 68, No. 6, 171-172 (2013). MSC: 11J82 11J72 11Y60 33C20 33C60 PDF BibTeX XML Cite \textit{W. Zudilin}, Russ. Math. Surv. 68, No. 6, 1133--1135 (2013; Zbl 1286.11111); translation from Usp. Mat. Nauk 68, No. 6, 171--172 (2013) Full Text: DOI OpenURL
Coons, Michael; Vrbik, Paul An irrationality measure for regular paperfolding numbers. (English) Zbl 1286.11110 J. Integer Seq. 15, No. 1, Article 12.1.6, 10 p. (2012). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11B37 41A21 PDF BibTeX XML Cite \textit{M. Coons} and \textit{P. Vrbik}, J. Integer Seq. 15, No. 1, Article 12.1.6, 10 p. (2012; Zbl 1286.11110) Full Text: EMIS OpenURL
Nesterenko, Yu. V. On the irrationality exponent of the number \(\ln 2\). (English. Russian original) Zbl 1241.11085 Math. Notes 88, No. 4, 530-543 (2010); translation from Mat. Zametki 88, No. 4, 549-564 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDF BibTeX XML Cite \textit{Yu. V. Nesterenko}, Math. Notes 88, No. 4, 530--543 (2010; Zbl 1241.11085); translation from Mat. Zametki 88, No. 4, 549--564 (2010) Full Text: DOI OpenURL
Salikhov, V. Kh On the irrationality measure of \( \pi\). (English. Russian original) Zbl 1208.11086 Russ. Math. Surv. 63, No. 3, 570-572 (2008); translation from Usp. Mat. Nauk 63, No. 3, 163-164 (2008). Reviewer: Zhu Yaochen (Beijing) MSC: 11J82 11J72 33C60 PDF BibTeX XML Cite \textit{V. K. Salikhov}, Russ. Math. Surv. 63, No. 3, 570--572 (2008; Zbl 1208.11086); translation from Usp. Mat. Nauk 63, No. 3, 163--164 (2008) Full Text: DOI OpenURL
Adamczewski, Boris On the density exponent of algebraic numbers. (Sur l’exposant de densité des nombres algébriques.) (French) Zbl 1124.11035 Int. Math. Res. Not. 2007, No. 7, Article ID rnm024, 6 p. (2007). Reviewer: Michel Waldschmidt (Paris) MSC: 11J82 11J04 11J68 PDF BibTeX XML Cite \textit{B. Adamczewski}, Int. Math. Res. Not. 2007, No. 7, Article ID rnm024, 6 p. (2007; Zbl 1124.11035) Full Text: DOI OpenURL
Zudilin, V. V. An essay on the irrationality measure of \(\pi\) and other logarithms. (Russian) Zbl 1140.11036 Chebyshevskiĭ Sb. 5, No. 2(10), 49-65 (2004). Reviewer: Wadim Zudilin (Moskva) MSC: 11J82 11J72 11J91 PDF BibTeX XML Cite \textit{V. V. Zudilin}, Chebyshevskiĭ Sb. 5, No. 2(10), 49--65 (2004; Zbl 1140.11036) Full Text: arXiv OpenURL