Naoto Dainobu, Yoshinosuke Hirakawa, Hideki Matsumura. Elliptic analogue of irregular prime numbers for the p^n-division fields of the curves y^2 = x^3-(s^4+t^2)x. 2022
Yoshinosuke Hirakawa, Yosuke Shimizu. Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture. Proceedings of the American Mathematical Society. 2022. 150. 1821-1835
Yoshinosuke Hirakawa, Yoshinori Kanamura. How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces. International Journal of Number Theory. 2021. 17. 10. 2361-2377
Yoshinosuke Hirakawa, Hideki Matsumura. Infinitely many hyperelliptic curves with exactly two rational points. Rocky Mountain Journal of Mathematics. 2021. 51. 3
Yoshinosuke Hirakawa. Counterexamples to the local-global principle associated with Swinnerton-Dyer's cubic form. Rocky Mountain Journal of Mathematics. 2020. 50. 6
A cubic analogue of the Ankeny-Artin-Chowla-Mordell conjecture and counterexamples to the Hasse principle for non-singular plane curves
(BOSTON UNIVERSITY/KEIO UNIVERSITY WORKSHOP 2019 2019)