Bundschuh, Peter; Väänänen, Keijo Hypertranscendence and algebraic independence of certain infinite products. (English) Zbl 1410.11101 Acta Arith. 184, No. 1, 51-66 (2018). MSC: 11J81 11J91 12H05 34M15 PDFBibTeX XMLCite \textit{P. Bundschuh} and \textit{K. Väänänen}, Acta Arith. 184, No. 1, 51--66 (2018; Zbl 1410.11101) Full Text: DOI Link
Bundschuh, Peter Algebraic independence of infinite products and their derivatives. (English) Zbl 1325.11070 Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). Springer Proceedings in Mathematics & Statistics 43, 143-156 (2013). Reviewer: Michel Waldschmidt (Paris) (MR3081038) MSC: 11J81 11J91 34M15 12H05 PDFBibTeX XMLCite \textit{P. Bundschuh}, Springer Proc. Math. Stat. 43, 143--156 (2013; Zbl 1325.11070) Full Text: DOI
Coons, Michael On some conjectures concerning Stern’s sequence and its twist. (English) Zbl 1275.11026 Integers 11, No. 6, 775-789, A35 (2011). MSC: 11B37 11B83 PDFBibTeX XMLCite \textit{M. Coons}, Integers 11, No. 6, 775--789, A35 (2011; Zbl 1275.11026) Full Text: DOI arXiv
Tachiya, Yohei Independence results for pattern sequences in distinct bases. (English) Zbl 1220.11010 Acta Arith. 142, No. 2, 157-167 (2010). Reviewer: Chun-Gang Ji (Nanjing) MSC: 11A63 11J85 PDFBibTeX XMLCite \textit{Y. Tachiya}, Acta Arith. 142, No. 2, 157--167 (2010; Zbl 1220.11010) Full Text: DOI
Shiokawa, I.; Tachiya, Y. Pattern sequences in \(\langle q,r\rangle\)-numeration systems. (English) Zbl 1185.11010 Indag. Math., New Ser. 19, No. 1, 151-161 (2008). Reviewer: Michael Coons (Waterloo) MSC: 11A63 11J85 PDFBibTeX XMLCite \textit{I. Shiokawa} and \textit{Y. Tachiya}, Indag. Math., New Ser. 19, No. 1, 151--161 (2008; Zbl 1185.11010) Full Text: DOI
Nishioka, Kumiko; Tanaka, Taka-aki; Wen, Zhi-Ying Substitution in two symbols and transcendence. (English) Zbl 0940.11015 Tokyo J. Math. 22, No. 1, 127-136 (1999). Reviewer: Takao Komatsu (Tsu) MSC: 11B85 11J81 11A67 PDFBibTeX XMLCite \textit{K. Nishioka} et al., Tokyo J. Math. 22, No. 1, 127--136 (1999; Zbl 0940.11015) Full Text: DOI
Töpfer, Thomas Zero order estimates for functions satisfying generalized functional equations of Mahler type. (English) Zbl 0912.11030 Acta Arith. 85, No. 1, 1-12 (1998). Reviewer: D.Duverney (Lille) MSC: 11J91 13F25 PDFBibTeX XMLCite \textit{T. Töpfer}, Acta Arith. 85, No. 1, 1--12 (1998; Zbl 0912.11030) Full Text: DOI EuDML
Töpfer, Th. Simultaneous approximation measures for functions satisfying generalized functional equations of Mahler type. (English) Zbl 0873.11044 Abh. Math. Semin. Univ. Hamb. 66, 177-201 (1996). Reviewer: J.H.Loxton (North Ryde) MSC: 11J82 11J13 11J91 PDFBibTeX XMLCite \textit{Th. Töpfer}, Abh. Math. Semin. Univ. Hamb. 66, 177--201 (1996; Zbl 0873.11044) Full Text: DOI
Becker, Paul-Georg Transcendence of the values of functions satisfying generalized Mahler type functional equations. (English) Zbl 0770.11037 J. Reine Angew. Math. 440, 111-128 (1993). Reviewer: P.-G.Becker (Köln) MSC: 11J81 11J91 PDFBibTeX XMLCite \textit{P.-G. Becker}, J. Reine Angew. Math. 440, 111--128 (1993; Zbl 0770.11037) Full Text: DOI Crelle EuDML
Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi Arithmetical properties of a certain power series. (English) Zbl 0770.11039 J. Number Theory 42, No. 1, 61-87 (1992). Reviewer: P.Bundschuh (Köln) MSC: 11J82 11J91 PDFBibTeX XMLCite \textit{K. Nishioka} et al., J. Number Theory 42, No. 1, 61--87 (1992; Zbl 0770.11039) Full Text: DOI