SOJO UNIVERSITY
Research Achievements Database
Japanese
Hibino Takeshi
Department / Course
Center for Education and Innovation Center for Education and Innovation
Job
Book and thesis
1.
1997
Papers
Modular equation of hyperelliptic X_0(N) and an application Acta Arithmetica 82,pp.279-291 (Co-authored)
2.
1998
Papers
Families of elliptic Q-curves defined over number fields with large degree Proceedings of the Japan Academy 74 (A-1),pp.20-24 (Co-authored)
3.
1999
Papers
A family of elliptic Q-curves defined over biquadratic fields and their modularity Acta Arithmetica 88,pp.181-190 (Co-authored)
4.
1999/11
Papers
θ-congruent numbers and Heegner points 99 (5) (Co-authored)
5.
1999/12
Papers
Formulae for relating the modular invariants and defining equations of X_0(40) and X_0(48) Tokyo Journal of Mathematics 22 (2),pp.279-288 (Sole-authored)
6.
2000/03
Papers
Modular equations of hyperelliptic X_0(N) (Sole-authored)
7.
2000/06
Papers
θ-congruent numbers and modular parametrizations,pp.251-258 (Co-authored)
8.
2001
Papers
θ-congruent numbers and Heegner points Archiv der Mathematik 77,pp.303-308 (Co-authored)
9.
2015/07
Papers
On the exponential Diophantine equation (12m^2+1)^x+(13m^2-1)^y=(5m)^z International Journal of Algebra 9 (6),pp.261-272 (Co-authored)
10.
2016
Papers
On the exponential Diophantine equation a^x+l b^y=c^z International Journal of Algebra 10 (8),pp.393-403 (Co-authored)
11.
2017
Papers
On the exponential Diophantine equation (3pm^2-1)^x+(p(p-3)m^2+1)^y=(pm)^z Periodica Mathematica Hungarica 74 (2),pp.227-234 (Co-authored)