On searching for solutions of the Diophantine equation x3 + y3 + z3 = n. - Kenji Koyama; Yukio Tsuruoka; Hiroshi Sekigawa (Math. Comput., 1997)

Nonexistence conditions of a solution for the congruence x1k + ... + xsk = N (mod pn). - Hiroshi Sekigawa; Kenji Koyama (Math. Comput., 1999)

Existence of the Exact CNOT on a Quantum Computer with the Exchange Interaction. - Yasuhito Kawano; Kinji Kimura; Hiroshi Sekigawa; Masayuki Noro; Kiyoshi Shirayanagi; Masahiro Kitagawa; Masanao Ozawa (Quantum Inf. Process., 2005)

Locating real multiple zeros of a real interval polynomial. - Hiroshi Sekigawa; Kiyoshi Shirayanagi (ISSAC, 2006)

A new algorithm for producing quantum circuits using KAK decompositions. - Yumi Nakajima; Yasuhito Kawano; Hiroshi Sekigawa (Quantum Inf. Comput., 2006)

The Nearest Real Polynomial with a Real Multiple Zero in a Given Real Interval. - Hiroshi Sekigawa (ASCM, 2007)

Minimum converging precision of the QR-factorization algorithm for real polynomial GCD. - Pramook Khungurn; Hiroshi Sekigawa; Kiyoshi Shirayanagi (ISSAC, 2007)

On the Location of Pseudozeros of a Complex Interval Polynomial. - Hiroshi Sekigawa; Kiyoshi Shirayanagi (Math. Comput. Sci., 2007)

The nearest polynomial with a zero in a given domain from a geometrical viewpoint. - Hiroshi Sekigawa (ISSAC, 2008)

Efficient quantum circuits for approximating the Jones polynomial. - Yumi Nakajima; Yasuhito Kawano; Hiroshi Sekigawa (Quantum Inf. Comput., 2008)

The nearest polynomial with a zero in a given domain. - Hiroshi Sekigawa (Theor. Comput. Sci., 2008)

A new Gröbner basis conversion method based on stabilization techniques. - Kiyoshi Shirayanagi; Hiroshi Sekigawa (Theor. Comput. Sci., 2008)

A Sequence of Nearest Polynomials with Given Factors. - Hiroshi Sekigawa (ASCM, 2009)

Reducing exact computations to obtain exact results based on stabilization techniques. - Kiyoshi Shirayanagi; Hiroshi Sekigawa (SNC, 2009)

Determining divisibility between polynomials with inexact coefficients. - Hiroki Nakayama; Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2009)

A new method of reducing exact computations to obtain exact results. - Kiyoshi Shirayanagi; Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2009)

On real factors of real interval polynomials. - Hiroshi Sekigawa (J. Symb. Comput., 2009)

Synthesis of quantum circuits for d-level systems by using cosine-sine decomposition. - Yumi Nakajima; Yasuhito Kawano; Hiroshi Sekigawa; Masaki Nakanishi; Shigeru Yamashita; Yasuhiko Nakashima (Quantum Inf. Comput., 2009)

Solvability of bivariate polynomial systems under perturbation. - Hiroshi Sekigawa; Kiyoshi Shirayanagi (ACM Commun. Comput. Algebra, 2010)

Isolated real zero of a real polynomial system under perturbation. - Hiroshi Sekigawa; Kiyoshi Shirayanagi (ACM Commun. Comput. Algebra, 2011)

Computing the nearest polynomial with a zero in a given domain by using piecewise rational functions. - Hiroshi Sekigawa (J. Symb. Comput., 2011)

Maximal perturbation for preserving the number of solutions of a polynomial system. - Hiroshi Sekigawa; Kiyoshi Shirayanagi (ACM Commun. Comput. Algebra, 2012)

Quantum fourier transform over symmetric groups. - Yasuhito Kawano; Hiroshi Sekigawa (ISSAC, 2013)

The nearest polynomial to multiple given polynomials with a given zero. - Hiroshi Sekigawa (SNC, 2014)

Quantum Fourier Transform over Symmetric Groups: Improved Result. - Yasuhito Kawano; Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2014)

An algorithm for symbolic-numeric sparse interpolation of multivariate polynomials whose degree bounds are unknown. - Dai Numahata; Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2017)

The nearest polynomial to multiple given polynomials with a given zero in the real case. - Hiroshi Sekigawa (Theor. Comput. Sci., 2017)

On Continuity of the Roots of a Parametric Zero Dimensional Multivariate Polynomial Ideal. - Yosuke Sato; Ryoya Fukasaku; Hiroshi Sekigawa (ISSAC, 2018)

Robust algorithms for sparse interpolation of multivariate polynomials. - Dai Numahata; Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2018)

On Parametric Border Bases. - Yosuke Sato; Hiroshi Sekigawa; Ryoya Fukasaku; Katsusuke Nabeshima (MACIS, 2019)

Robust computation methods for sparse interpolation of multivariate polynomials. - Kazuki Kondo; Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2019)

An Approximation Algorithm for the Nearest Decomposable Polynomial in the Hamming Distance. - Hiroshi Sekigawa (ACM Commun. Comput. Algebra, 2023)