Hoshi, Akinari; Miyake, Katsuya On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation. (English) Zbl 1236.11090 Comment. Math. Univ. St. Pauli 58, No. 1, 51-89 (2009). Reviewer: Bernat Plans (Barcelona) MSC: 11R16 11R20 12E25 12F10 12F12 PDFBibTeX XMLCite \textit{A. Hoshi} and \textit{K. Miyake}, Comment. Math. Univ. St. Pauli 58, No. 1, 51--89 (2009; Zbl 1236.11090) Full Text: arXiv
Miyake, Katsuya Two expositions on arithmetic of cubics. (English) Zbl 1160.11047 Kanemitsu, S. (ed.) et al., Number theory. Sailing on the sea of number theory. Proceedings of the 4th China-Japan seminar on number theory, Weihai, China, August 30–September 3, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-810-6/hbk). Series on Number Theory and its Applications 2, 136-154 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R09 11G05 11R16 PDFBibTeX XMLCite \textit{K. Miyake}, Ser. Number Theory Appl. 2, 136--154 (2007; Zbl 1160.11047) Full Text: DOI
Miyake, Katsuya Cubic fields and Mordell curves. (English) Zbl 1202.11034 Zhang, Wenpeng (ed.) et al., Number theory. Tradition and modernization. Papers from the 3rd China-Japan seminar on number theory, Xi’an, China, February 12–16, 2004. New York, NY: Springer (ISBN 978-0-387-30414-4/hbk). Developments in Mathematics 15, 175-183 (2006). Reviewer: Alex Bartel (Pohang) MSC: 11G05 11R16 PDFBibTeX XMLCite \textit{K. Miyake}, Dev. Math. 15, 175--183 (2006; Zbl 1202.11034) Full Text: DOI
Miyake, Katsuya An introduction to elliptic curves and their Diophantine geometry – Mordell curves. (English) Zbl 1102.11030 Ann. Sci. Math. Qué. 28, No. 1-2, 165-178 (2004). Reviewer: Remke Kloosterman (Hannover) MSC: 11G05 11D25 14G25 PDFBibTeX XMLCite \textit{K. Miyake}, Ann. Sci. Math. Qué. 28, No. 1--2, 165--178 (2004; Zbl 1102.11030)