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pro vyhledávání: '"Yoshichika Iizuka"'
An Application of the Arithmetic of Elliptic Curves to the Class Number Problem for Quadratic Fields
Publikováno v:
Tokyo Journal of Mathematics.
Let $l$ be the prime $3$, $5$ or $7$, and let $m_{1}$,~$m_{2}$, $n_{1}$ and $n_{2}$ be non-zero rational numbers. We construct an infinite family of pairs of distinct quadratic fields $\mathbb{Q}(\sqrt{m_{1}D+n_{1}})$ and $\mathbb{Q}(\sqrt{m_{2}D+n_{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e28b790e3474a14f242d2f5b1575816
https://doi.org/10.3836/tjm/1502179314
https://doi.org/10.3836/tjm/1502179314
Autor:
Yoshichika Iizuka
Publikováno v:
Journal of Number Theory. 184:122-127
We construct an infinite family of pairs of imaginary quadratic fields Q ( D ) and Q ( D + 1 ) with D ∈ Z whose class numbers are both divisible by 3.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b26d88366fe9ad45096a13382c777785
https://doi.org/10.1016/j.jnt.2017.08.013
https://doi.org/10.1016/j.jnt.2017.08.013
Autor:
Yoshichika Iizuka
Publikováno v:
Proc. Japan Acad. Ser. A Math. Sci. 80, no. 5 (2004), 47-52
Let $h \geq 2$ be an integer and $F$ a formal group over $\mathbf{Z}_p$ of Honda type $p + X^h$. The aim of this paper is to calculate the index of the image of the norm of $F$ in the local cyclotomic fields by following Kobayashi's method ([1]). Her
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fac5d9780714f420c9b4ba34fcbc371
https://doi.org/10.3792/pjaa.80.47
https://doi.org/10.3792/pjaa.80.47