Abelian functions for trigonal curves of genus three JC Eilbeck, VZ Enolski, S Matsutani, Y Ônishi, E Previato International Mathematics Research Notices 2007, rnm140, 2007 | 97 | 2007 |
Determinant expressions for hyperelliptic functions Y Onishi Proceedings of the Edinburgh Mathematical Society 48 (3), 705-742, 2005 | 49 | 2005 |
Complex multiplication formulae for hyperelliptic curves of genus three Y ÔNISHI Tokyo Journal of Mathematics 21 (2), 381-431, 1998 | 47 | 1998 |
Abelian functions for cyclic trigonal curves of genus 4 S Baldwin, JC Eilbeck, J Gibbons, Y Ônishi Journal of Geometry and Physics 58 (4), 450-467, 2008 | 42 | 2008 |
Wave-particle complementarity and reciprocity of Gauss sums on Talbot effects S Matsutani, Y Ônishi Foundations of Physics Letters 16, 325-341, 2003 | 37 | 2003 |
The existence of certain infinite families of imaginary quadratic fields. Y Onishi, K Horie Walter de Gruyter, Berlin/New York 1988 (390), 97-113, 1988 | 31 | 1988 |
Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case Y Ônishi International Journal of Mathematics 20 (04), 427-441, 2009 | 18 | 2009 |
Theory of heat equations for sigma functions JC Eilbeck, J Gibbons, Y Onishi, S Yasuda arXiv preprint arXiv:1711.08395, 2017 | 16 | 2017 |
Abelian functions associated with genus three algebraic curves JC Eilbeck, M England, Y Ônishi LMS Journal of Computation and Mathematics 14, 291-326, 2011 | 16 | 2011 |
Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties JC Eilbeck, VZ Enolski, S Matsutani, Y Ônishi, E Previato Walter de Gruyter GmbH & Co. KG 2008 (619), 37-48, 2008 | 16 | 2008 |
Determinant expressions for Abelian functions in genus two Y Ônishi Glasgow Mathematical Journal 44 (3), 353-364, 2002 | 16 | 2002 |
Addition formulae for Abelian functions associated with specialized curves JC Eilbeck, S Matsutani, Y Ônishi Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2011 | 9 | 2011 |
On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I S Matsutani, Y Ônishi Reviews in Mathematical Physics 15 (06), 559-628, 2003 | 9 | 2003 |
Universal elliptic functions Y Onishi arXiv preprint arXiv:1003.2927, 2010 | 8 | 2010 |
Determinant formulae in Abelian functions for a general trigonal curve of degree five Y Onishi Computational Methods and Function Theory 2 (11), 547-574, 2012 | 7 | 2012 |
The addition law attached to a stratification of a hyperelliptic Jacobian variety V Enolskii, S Matsutani, Y Ônishi Tokyo Journal of Mathematics 31 (1), 27-38, 2008 | 7 | 2008 |
Theory of the generalized Bernoulli-Hurwitz numbers for the algebraic functions of cyclotomic type and the universal Bernoulli numbers Y Ônishi arXiv preprint math/0406096, 2004 | 7 | 2004 |
Determinant expressions in Abelian functions for purely trigonal curves of degree four Y Ônishi International J. Math., 2008 | 5 | 2008 |
Localized state of hard core chain and cyclotomic polynomial: hard core limit of diatomic Toda lattice S Ishiwata, S Matsutani, Y Ônishi Physics Letters A 231 (3-4), 208-216, 1997 | 5 | 1997 |
Arithmetical power series expansion of the sigma function for a plane curve Y Ônishi Proceedings of the Edinburgh Mathematical Society 61 (4), 995-1022, 2018 | 4 | 2018 |