Zobrazeno 1 - 4
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pro vyhledávání: '"Chad Tyler Davis"'
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 30:991-996
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae2b5e0084defa7e25ee0cf0c1f841ba
https://doi.org/10.5802/jtnb.1061
https://doi.org/10.5802/jtnb.1061
Autor:
Chad Tyler Davis
Publikováno v:
Proc. Japan Acad. Ser. A Math. Sci. 93, no. 5 (2017), 37-40
A positive integer $n$ is the area of a Heron triangle if and only if there is a non-zero rational number $\tau$ such that the elliptic curve \begin{equation*} E_{τ}^{(n)}: Y^{2} = X(X-nτ)(X+nτ^{-1}) \end{equation*} has a rational point of order d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71748d3b9969474f3d2ce32f644bdf98
https://doi.org/10.3792/pjaa.93.37
https://doi.org/10.3792/pjaa.93.37
Autor:
Blair K. Spearman, Chad Tyler Davis
Publikováno v:
Journal of Algebra and Its Applications. 17:1850197
Consider an irreducible quartic polynomial of the form [Formula: see text], where [Formula: see text] satisfy [Formula: see text] or [Formula: see text], where [Formula: see text] denotes the exact power of a rational prime [Formula: see text] that d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16db03fd9563ad53a5e0c2ed03421c00
https://doi.org/10.1142/s0219498818501979
https://doi.org/10.1142/s0219498818501979
Autor:
Blair K. Spearman, Chad Tyler Davis
Publikováno v:
Proc. Japan Acad. Ser. A Math. Sci. 91, no. 7 (2015), 101-103
It is known that a positive integer $n$ is the area of a right triangle with rational sides if and only if the elliptic curve $E^{(n)}: y^{2} = x(x^{2}-n^{2})$ has a rational point of order different than 2. A generalization of this result states tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2092bbf8372608c94708e666161bcd1
https://doi.org/10.3792/pjaa.91.101
https://doi.org/10.3792/pjaa.91.101