Fischler, Stéphane; Rivoal, Tanguy Values of \(E\)-functions are not Liouville numbers. (Les valeurs des \(E\)-fonctions ne sont pas des nombres de Liouville.) (English. French summary) Zbl 07811888 J. Éc. Polytech., Math. 11, 1-18 (2024). MSC: 11J82 11J91 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, J. Éc. Polytech., Math. 11, 1--18 (2024; Zbl 07811888) Full Text: DOI arXiv
Adamczewski, Boris; Faverjon, Colin A new proof of Nishioka’s theorem in Mahler’s method. (English) Zbl 07738604 C. R., Math., Acad. Sci. Paris 361, 1011-1028 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J85 12H05 11J91 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{C. Faverjon}, C. R., Math., Acad. Sci. Paris 361, 1011--1028 (2023; Zbl 07738604) Full Text: DOI arXiv
Kawashima, Makoto; Poëls, Anthony Padé approximation for a class of hypergeometric functions and parametric geometry of numbers. (English) Zbl 1518.11055 J. Number Theory 243, 646-687 (2023). Reviewer: Michael A. Bennett (Vancouver) MSC: 11J72 11J82 11J61 PDFBibTeX XMLCite \textit{M. Kawashima} and \textit{A. Poëls}, J. Number Theory 243, 646--687 (2023; Zbl 1518.11055) Full Text: DOI arXiv
Fischler, Stéphane Irrationality of values of \(L\)-functions of Dirichlet characters. (English) Zbl 1448.11137 J. Lond. Math. Soc., II. Ser. 101, No. 2, 857-876 (2020). Reviewer: Jan Šustek (Ostrava) MSC: 11J72 11M06 11M35 PDFBibTeX XMLCite \textit{S. Fischler}, J. Lond. Math. Soc., II. Ser. 101, No. 2, 857--876 (2020; Zbl 1448.11137) Full Text: DOI arXiv
Fischler, Stéphane; Rivoal, Tanguy Linear independence of values of \(G\)-functions. (English) Zbl 1446.11136 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1531-1576 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 34M35 41A60 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1531--1576 (2020; Zbl 1446.11136) Full Text: DOI arXiv
Nesterenko, Yuri Mahler and transcendence: effective constructions in transcendental number theory. (English) Zbl 1451.11009 Doc. Math. Extra Vol., Mahler Selecta, 123-148 (2019). MSC: 11-03 11J81 PDFBibTeX XMLCite \textit{Y. Nesterenko}, Doc. Math. Extra Vol., 123--148 (2019; Zbl 1451.11009) Full Text: DOI
Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna On Mahler’s transcendence measure for \(e\). (English) Zbl 1435.11095 Constr. Approx. 49, No. 2, 405-444 (2019). Reviewer: Volker Ziegler (Salzburg) MSC: 11J82 11J72 41A21 PDFBibTeX XMLCite \textit{A.-M. Ernvall-Hytönen} et al., Constr. Approx. 49, No. 2, 405--444 (2019; Zbl 1435.11095) Full Text: DOI arXiv
Napoletani, Domenico; Struppa, Daniele C. The stationary phase method for real analytic geometry. (English) Zbl 1332.32014 J. Math. Anal. Appl. 436, No. 2, 1074-1081 (2016). MSC: 32C05 26E05 PDFBibTeX XMLCite \textit{D. Napoletani} and \textit{D. C. Struppa}, J. Math. Anal. Appl. 436, No. 2, 1074--1081 (2016; Zbl 1332.32014) Full Text: DOI
Dauguet, Simon Quantitative generalizations of Nesterenkos’s linear independence criterion. (Généralisations quantitatives du critère d’indépendance linéaire de Nesterenko.) (French. English summary) Zbl 1387.11040 J. Théor. Nombres Bordx. 27, No. 2, 483-498 (2015). MSC: 11J13 11J72 11J82 PDFBibTeX XMLCite \textit{S. Dauguet}, J. Théor. Nombres Bordx. 27, No. 2, 483--498 (2015; Zbl 1387.11040) Full Text: DOI
Fischler, Stéphane Nesterenko’s linear independence criterion for vectors. (English) Zbl 1322.11080 Monatsh. Math. 177, No. 3, 397-419 (2015). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11J13 11H06 PDFBibTeX XMLCite \textit{S. Fischler}, Monatsh. Math. 177, No. 3, 397--419 (2015; Zbl 1322.11080) Full Text: DOI arXiv
Hančl, Jaroslav; Leppälä, Kalle; Matala-aho, Tapani; Törmä, Topi On irrationality exponents of generalized continued fractions. (English) Zbl 1318.11090 J. Number Theory 151, 18-35 (2015). Reviewer: Roland Quême (Brax) MSC: 11J70 11J82 PDFBibTeX XMLCite \textit{J. Hančl} et al., J. Number Theory 151, 18--35 (2015; Zbl 1318.11090) Full Text: DOI arXiv
Adamczewski, Boris; Bugeaud, Yann Transcendence measures for continued fractions involving repetitive or symmetric patterns. (English) Zbl 1200.11053 J. Eur. Math. Soc. (JEMS) 12, No. 4, 883-914 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDFBibTeX XMLCite \textit{B. Adamczewski} and \textit{Y. Bugeaud}, J. Eur. Math. Soc. (JEMS) 12, No. 4, 883--914 (2010; Zbl 1200.11053) Full Text: DOI Link
Hančl, Jaroslav; Tijdeman, Robert On the irrationality of factorial series. II. (English) Zbl 1222.11092 J. Number Theory 130, No. 3, 595-607 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11J72 PDFBibTeX XMLCite \textit{J. Hančl} and \textit{R. Tijdeman}, J. Number Theory 130, No. 3, 595--607 (2010; Zbl 1222.11092) Full Text: DOI
Waldschmidt, Michel Elliptic functions and transcendence. (English) Zbl 1210.11084 Alladi, Krishnaswami (ed.), Surveys in number theory. New York, NY: Springer (ISBN 978-0-387-78509-7/hbk). Developments in Mathematics 17, 1-46 (2008). MSC: 11J89 11-02 11J82 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Dev. Math. 17, 1--46 (2008; Zbl 1210.11084) Full Text: DOI
Voutier, Paul M. Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited. (English) Zbl 1120.11027 J. Théor. Nombres Bordx. 19, No. 1, 263-288 (2007). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J68 PDFBibTeX XMLCite \textit{P. M. Voutier}, J. Théor. Nombres Bordx. 19, No. 1, 263--288 (2007; Zbl 1120.11027) Full Text: DOI arXiv Numdam EuDML
Gaudron, Éric Linear forms of effective logaritms on abelian varieties. (Formes linéaires de logarithmes effectives sur les variétés abéliennes.) (French. English summary) Zbl 1111.11038 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 5, 699-773 (2006). Reviewer: Michel Waldschmidt (Paris) MSC: 11J86 11G10 14G40 PDFBibTeX XMLCite \textit{É. Gaudron}, Ann. Sci. Éc. Norm. Supér. (4) 39, No. 5, 699--773 (2006; Zbl 1111.11038) Full Text: DOI Numdam EuDML
Vetter, Gisela A new elementary proof for the irrationality of \(\pi\). (Ein neuer elementarer Irrationalitätsbeweis für \(\pi\).) (German) Zbl 1094.11027 Math. Semesterber. 53, No. 1, 101-107 (2006); erratum ibid. 54, No. 2, 239 (2007). Reviewer: Heinz Dalkowski (Berlin) MSC: 11J72 PDFBibTeX XMLCite \textit{G. Vetter}, Math. Semesterber. 53, No. 1, 101--107 (2006; Zbl 1094.11027) Full Text: DOI
Wallisser, Rolf Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson. (English) Zbl 1096.11024 J. Théor. Nombres Bordx. 17, No. 1, 381-396 (2005). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 11J72 PDFBibTeX XMLCite \textit{R. Wallisser}, J. Théor. Nombres Bordx. 17, No. 1, 381--396 (2005; Zbl 1096.11024) Full Text: DOI Numdam EuDML
Zudilin, Wadim Arithmetic of linear forms involving odd zeta values. (English) Zbl 1156.11327 J. Théor. Nombres Bordx. 16, No. 1, 251-291 (2004). MSC: 11J72 11M06 33D15 PDFBibTeX XMLCite \textit{W. Zudilin}, J. Théor. Nombres Bordx. 16, No. 1, 251--291 (2004; Zbl 1156.11327) Full Text: DOI arXiv Numdam EuDML Link
Bundschuh, P.; Wallisser, R. Measures of linear independence for values of entire transcendental solutions of certain functional equations. II. (Maße für die lineare Unabhängigkeit von Werten ganz transzendenter Lösungen gewisser Funktionalgleichungen. II.) (German) Zbl 1041.11050 Abh. Math. Semin. Univ. Hamb. 73, 1-12 (2003). Reviewer: John H. Loxton (North Ryde) MSC: 11J72 11J82 11J91 PDFBibTeX XMLCite \textit{P. Bundschuh} and \textit{R. Wallisser}, Abh. Math. Semin. Univ. Hamb. 73, 1--12 (2003; Zbl 1041.11050) Full Text: DOI