Gröbner deformations of hypergeometric differential equations M Saito, B Sturmfels, N Takayama Springer Science & Business Media, 2013 | 596 | 2013 |

Algorithms for D-modules—restriction, tensor product, localization, and local cohomology groups T Oaku, N Takayama Journal of Pure and Applied Algebra 156 (2-3), 267-308, 2001 | 138 | 2001 |

Gröbner basis and the problem of contiguous relations N Takayama Japan Journal of Applied Mathematics 6, 147-160, 1989 | 127 | 1989 |

Holonomic gradient descent and its application to the Fisher–Bingham integral H Nakayama, K Nishiyama, M Noro, K Ohara, T Sei, N Takayama, ... Advances in Applied Mathematics 47 (3), 639-658, 2011 | 92 | 2011 |

An approach to the zero recognition problem by Buchberger algorithm N Takayama Journal of Symbolic Computation 14 (2-3), 265-282, 1992 | 88 | 1992 |

An algorithm of constructing the integral of a module--an infinite dimensional analog of Gröbner basis N Takayama Proceedings of the international symposium on Symbolic and algebraic …, 1990 | 83 | 1990 |

An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation T Oaku, N Takayama Journal of Pure and Applied Algebra 139 (1-3), 201-233, 1999 | 80 | 1999 |

The holonomic gradient method for the distribution function of the largest root of a Wishart matrix H Hashiguchi, Y Numata, N Takayama, A Takemura Journal of Multivariate Analysis 117, 296-312, 2013 | 71 | 2013 |

Gröbner basis, integration and transcendental functions N Takayama Proceedings of the international symposium on Symbolic and algebraic …, 1990 | 54 | 1990 |

Properties and applications of Fisher distribution on the rotation group T Sei, H Shibata, A Takemura, K Ohara, N Takayama Journal of Multivariate Analysis 116, 440-455, 2013 | 46 | 2013 |

Gröbner bases and hypergeometric functions B Sturmfels, N Takayama London Mathematical Society Lecture Note Series, 246-258, 1998 | 46 | 1998 |

A Localization Algorithm forD-modules T Oaku, N Takayama, U Walther Journal of Symbolic Computation 29 (4-5), 721-728, 2000 | 44 | 2000 |

Macaulay matrix for Feynman integrals: linear relations and intersection numbers V Chestnov, F Gasparotto, MK Mandal, P Mastrolia, SJ Matsubara-Heo, ... Journal of High Energy Physics 2022 (9), 1-57, 2022 | 38 | 2022 |

Construction of Voronoi diagram on the upper half-plane K Onishi, N Takayama IEICE Transactions on Fundamentals of Electronics, Communications and …, 1996 | 37 | 1996 |

Polynomial and rational solutions of holonomic systems T Oaku, N Takayama, H Tsai Journal of Pure and Applied Algebra 164 (1-2), 199-220, 2001 | 35 | 2001 |

Quadratic relations for generalized hypergeometric functions pFp-1 K Ohara, Y Sugiki, N Takayama Funkcialaj Ekvacioj 46 (2), 213-251, 2003 | 33 | 2003 |

Kan: A system for computation in algebraic analysis N Takayama Source code available at http://www. math. kobe-u. ac. jp/KAN/, version 1, 1991 | 33 | 1991 |

Holonomic gradient descent for the Fisher–Bingham distribution on the -dimensional sphere T Koyama, H Nakayama, K Nishiyama, N Takayama Computational Statistics 29 (3), 661-683, 2014 | 31 | 2014 |

An algorithm for finding recurrence relations of binomial sums and its complexity N Takayama Journal of Symbolic Computation 20 (5-6), 637-651, 1995 | 31 | 1995 |

The singular locus of Lauricella's FC R Hattori, N Takayama Journal of the Mathematical Society of Japan 66 (3), 981-995, 2014 | 29 | 2014 |