Eilbeck, J. Chris; Ônishi, Yoshihiro Recursion relations on the power series expansion of the universal Weierstrass sigma function. (English) Zbl 1455.33011 RIMS Kôkyûroku Bessatsu B78, 77-98 (2020). MSC: 33E05 14K25 14H42 11G05 14H70 PDFBibTeX XMLCite \textit{J. C. Eilbeck} and \textit{Y. Ônishi}, RIMS Kôkyûroku Bessatsu B78, 77--98 (2020; Zbl 1455.33011) Full Text: Link
Ônishi, Yoshihiro Arithmetical power series expansion of the sigma function for a plane curve. (English) Zbl 1472.11186 Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 995-1022 (2018). MSC: 11G10 14H50 14H55 14K20 14K25 PDFBibTeX XMLCite \textit{Y. Ônishi}, Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 995--1022 (2018; Zbl 1472.11186) Full Text: DOI
Gibbons, John; Matsutani, Shigeki; Ônishi, Yoshihiro Relationship between the prime form and the sigma function for some cyclic (\(r, s\)) curves. (English) Zbl 1267.14055 J. Phys. A, Math. Theor. 46, No. 17, Article ID 175203, 21 p. (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14K25 14H55 20C30 37K15 PDFBibTeX XMLCite \textit{J. Gibbons} et al., J. Phys. A, Math. Theor. 46, No. 17, Article ID 175203, 21 p. (2013; Zbl 1267.14055) Full Text: DOI arXiv
Eilbeck, J. C.; Matsutani, S.; Ônishi, Y. Addition formulae for abelian functions associated with specialized curves. (English) Zbl 1219.14038 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1939, 1245-1263 (2011). MSC: 14H42 14H55 14H45 14H70 37K20 PDFBibTeX XMLCite \textit{J. C. Eilbeck} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1939, 1245--1263 (2011; Zbl 1219.14038) Full Text: DOI arXiv
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E. Abelian functions for trigonal curves of genus three. (English) Zbl 1210.14032 Int. Math. Res. Not. 2008, Article ID rnm140, 38 p. (2008). MSC: 14H42 14H45 33E05 37K20 PDFBibTeX XMLCite \textit{J. C. Eilbeck} et al., Int. Math. Res. Not. 2008, Article ID rnm140, 38 p. (2008; Zbl 1210.14032) Full Text: DOI arXiv Link
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E. Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. (English) Zbl 1165.14022 J. Reine Angew. Math. 619, 37-48 (2008). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14H05 14H10 14H40 14H42 14H45 14H52 PDFBibTeX XMLCite \textit{J. C. Eilbeck} et al., J. Reine Angew. Math. 619, 37--48 (2008; Zbl 1165.14022) Full Text: DOI
Ônishi, Yoshihiro Determinant expressions for hyperelliptic functions. (English) Zbl 1148.14303 Proc. Edinb. Math. Soc., II. Ser. 48, No. 3, 705-742 (2005). Reviewer: Emma Previato (Boston) (MR2171194) MSC: 14H42 11G30 11G10 14H40 14H45 PDFBibTeX XMLCite \textit{Y. Ônishi}, Proc. Edinb. Math. Soc., II. Ser. 48, No. 3, 705--742 (2005; Zbl 1148.14303) Full Text: DOI
Ônishi, Yoshihiro Determinant expressions for abelian functions in genus two. (English) Zbl 1101.14312 Glasg. Math. J. 44, No. 3, 353-364 (2002). MSC: 14H42 14H45 11G30 11G10 PDFBibTeX XMLCite \textit{Y. Ônishi}, Glasg. Math. J. 44, No. 3, 353--364 (2002; Zbl 1101.14312) Full Text: DOI arXiv