Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations. - Ki-ichiro Hashimoto; Akinari Hoshi (Math. Comput., 2005)

Noether's problem and ℚ-generic polynomials for the normalizer of the 8-cycle in S8 and its subgroups. - Ki-ichiro Hashimoto; Akinari Hoshi; Yuichi Rikuna (Math. Comput., 2008)

Rationality problem of three-dimensional purely monomial group actions: the last case. - Akinari Hoshi; Yuichi Rikuna (Math. Comput., 2008)

On the Simplest Quartic Fields and Related Thue Equations. - Akinari Hoshi (ASCM, 2009)

Rationality problem for norm one tori in small dimensions. - Sumito Hasegawa; Akinari Hoshi; Aiichi Yamasaki (Math. Comput., 2020)

Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods. - Akinari Hoshi; Kazuki Kanai (Finite Fields Their Appl., 2022)

Norm one Tori and Hasse norm principle. - Akinari Hoshi; Kazuki Kanai; Aiichi Yamasaki (Math. Comput., 2022)