Duverney, Daniel; Shiokawa, Iekata Continuants and convergence of certain continued fractions. arXiv:2210.09862 Preprint, arXiv:2210.09862 [math.NT] (2022). MSC: 11A55 15A69 BibTeX Cite \textit{D. Duverney} and \textit{I. Shiokawa}, ``Continuants and convergence of certain continued fractions'', Preprint, arXiv:2210.09862 [math.NT] (2022) Full Text: arXiv OA License
Duverney, Daniel; Shiokawa, Iekata A new proof of a theorem of Tietze. arXiv:2203.05296 Preprint, arXiv:2203.05296 [math.NT] (2022). MSC: 11A55 BibTeX Cite \textit{D. Duverney} and \textit{I. Shiokawa}, ``A new proof of a theorem of Tietze'', Preprint, arXiv:2203.05296 [math.NT] (2022) Full Text: arXiv OA License
Duverney, Daniel; Shiokawa, Iekata Irrationality exponents of semi-regular continued fractions. arXiv:2202.10738 Preprint, arXiv:2202.10738 [math.NT] (2022). MSC: 11A55 11J70 11J82 BibTeX Cite \textit{D. Duverney} and \textit{I. Shiokawa}, ``Irrationality exponents of semi-regular continued fractions'', Preprint, arXiv:2202.10738 [math.NT] (2022) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{D. Duverney} et al., Tsukuba J. Math. 44, No. 2, 235--250 (2020; Zbl 1481.11072) Full Text: DOI
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata Transformation formulas of finite sums into continued fractions. (English) Zbl 1454.11129 J. Approx. Theory 258, Article ID 105460, 12 p. (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11A55 PDFBibTeX XMLCite \textit{D. Duverney} et al., J. Approx. Theory 258, Article ID 105460, 12 p. (2020; Zbl 1454.11129) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Duverney} et al., Monatsh. Math. 193, No. 2, 291--303 (2020; Zbl 1452.11088) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Duverney} and \textit{I. Shiokawa}, Monatsh. Math. 191, No. 1, 53--76 (2020; Zbl 1436.11085) Full Text: DOI
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata On convergents formed from Diophantine equations. (English) Zbl 1233.11031 Glas. Mat., III. Ser. 44, No. 2, 267-284 (2009). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11D25 11J04 11J70 PDFBibTeX XMLCite \textit{C. Elsner} et al., Glas. Mat., III. Ser. 44, No. 2, 267--284 (2009; Zbl 1233.11031) Full Text: DOI Link
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata Approximation of values of hypergeometric functions by restricted rationals. (English) Zbl 1167.11026 J. Théor. Nombres Bordx. 19, No. 2, 393-404 (2007). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11A55 33C05 PDFBibTeX XMLCite \textit{C. Elsner} et al., J. Théor. Nombres Bordx. 19, No. 2, 393--404 (2007; Zbl 1167.11026) Full Text: DOI Numdam EuDML Link
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata On convergents formed by Pythagorean numbers. (English) Zbl 1163.11008 Katsurada, Masanori (ed.) et al., Diophantine analysis and related fields 2006. In honor of Iekata Shiokawa. Proceedings of the conference, Keio University, Yokohama, Japan, March 7–10, 2006. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 35, 59-76 (2006). MSC: 11A55 11J70 PDFBibTeX XMLCite \textit{C. Elsner} et al., Semin. Math. Sci. 35, 59--76 (2006; Zbl 1163.11008)
Duverney, Daniel; Shiokawa, Iekata On some arithmetical properties of Rogers-Ramanujan continued fraction. (English) Zbl 0970.11027 Osaka J. Math. 37, No. 3, 759-771 (2000). Reviewer: Takao Komatsu (Tsu) MSC: 11J70 11J81 PDFBibTeX XMLCite \textit{D. Duverney} and \textit{I. Shiokawa}, Osaka J. Math. 37, No. 3, 759--771 (2000; Zbl 0970.11027)
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. (English) Zbl 0902.11029 Proc. Japan Acad., Ser. A 73, No. 7, 140-142 (1997). Reviewer: P.Bundschuh (Köln) MSC: 11J81 11J91 11B39 11J70 PDFBibTeX XMLCite \textit{D. Duverney} et al., Proc. Japan Acad., Ser. A 73, No. 7, 140--142 (1997; Zbl 0902.11029) Full Text: DOI
Shiokawa, Iekata; Tamura, Jun-ichi Description of sequences defined by billiards in the cube. (English) Zbl 0773.11020 Proc. Japan Acad., Ser. A 68, No. 7, 207-211 (1992). Reviewer: Fritz Schweiger (Salzburg) MSC: 11B05 37B99 37D50 11A55 54H20 PDFBibTeX XMLCite \textit{I. Shiokawa} and \textit{J.-i. Tamura}, Proc. Japan Acad., Ser. A 68, No. 7, 207--211 (1992; Zbl 0773.11020) Full Text: DOI Euclid
Shiokawa, Iekata Rational approximations to the Rogers-Ramanujan continued fraction. (English) Zbl 0655.10031 Acta Arith. 50, No. 1, 23-30 (1988). Reviewer: G.Ramharter MSC: 11J70 11J04 11A55 PDFBibTeX XMLCite \textit{I. Shiokawa}, Acta Arith. 50, No. 1, 23--30 (1988; Zbl 0655.10031) Full Text: DOI EuDML
Shiokawa, I. Rational approximations to the values of certain hypergeometric functions. (English) Zbl 0614.10030 Number theory and combinatorics, Proc. Conf., Tokyo/Jap, Okayama/Jap. and Kyoto/Jap. 1984, 353-367 (1985). Reviewer: P.Bundschuh MSC: 11J70 11J81 PDFBibTeX XML
Onoyama, Takuji; Shiokawa, Iekata; Nakada, Hitoshi The complex continued fractions and metrical properties. (English) Zbl 0409.10022 Keio math. Semin. Rep. No. 2, 67-68 (1977). MSC: 11J70 11K16 PDFBibTeX XML
Kaneiwa, Ryuji; Shiokawa, Iekata; Tamura, Jun-ichi Some properties of complex continued fractions. (English) Zbl 0365.10023 Comment. Math. Univ. St. Pauli 25(1976), 129-143 (1977). MSC: 11J70 11A63 PDFBibTeX XMLCite \textit{R. Kaneiwa} et al., Comment. Math. Univ. St. Pauli 25, 129--143 (1977; Zbl 0365.10023)
Shiokawa, Ietaka; Kaneiwa, Ryuji; Tamura, Jun-ichi A proof of Perron’s theorem on diophantine approximation of complex numbers. (English) Zbl 0409.10021 Keio Eng. Rep. 28, 131-147 (1975). MSC: 11J70 11J17 PDFBibTeX XML