F. Sairaiji

activity

20132021

most citedOn the class numbers of the fields of the

p^{n}

-torsion points of elliptic curves over

Q

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2021

Arithmetic over the Gaussian Number Field on a Certain Family of Elliptic Curves with Complex Multiplication

Yoshihiro Ônishi, Fumio Sairaiji

This work is a sequel of a previous work of one of the authors (Y.Ô), which treated certain congruence relation between an elliptic Gauss sum and a coefficient of power series expa…

math.NT2016★ 2 cited

On the class numbers of the fields of the $p^{n}$ -torsion points of elliptic curves over $Q$

Fumio Sairaiji, Takuya Yamauchi

Let $E$ be an elliptic curve over $Q$ which has multiplicative reduction at a fixed prime $p$ . For each positive integer $n$ we put $K_{n} := Q (E [p^{n}])$ . The aim of t…

math.NT2013★ 2 cited

On the class numbers of the fields of the p^n-torsion points of certain elliptic curves over Q

Fumio Sairaiji, Takuya Yamauchi

Let E be an elliptic curve over Q with prime conductor p. For each non-negative integer n we put K_n:=Q(E[p^n]). The aim of this paper is to estimate the order of the p-Sylow group…

Arithmetic over the Gaussian Number Field on a Certain Family of Elliptic Curves with Complex Multiplication

On the class numbers of the fields of the pn-torsion points of elliptic curves over Q

On the class numbers of the fields of the p^n-torsion points of certain elliptic curves over Q

On the class numbers of the fields of the $p^{n}$ -torsion points of elliptic curves over $Q$