Abelian varieties and a conjecture of R.M. Robinson.
Abelian varieties and a conjecture of R.M. Robinson.
复制标题
阿贝尔簇和 R.M. 的猜想
DOI：
--
复制
发表时间：
1977
期刊：
影响因子：
--
通讯作者：
M. Madan
中科院分区：
文献类型：
--
作者：
Satyabrata Pal;M. Madan
An interval of length larger than four contains infinitely many sets of conjugate algebraic integers and an interval of length smaller than four contains only finitely many such sets, i.e. the intervals of length four are critical for the problem of conjugate algebraic integers. This was proved by R. M. Robinson [10]. In [11], he solved the similar problem for algebraic units by finding all the critical intervals. In each case, it is in general an open problem to decide if the critical interval itself contains infinitely many conjugacy sets. For the problem of algebraic units, the critical interval J± = [3 — 2J/T, 3 + 2|/2~ ] plays a special role. It contains infinitely many sets of conjugate algebraic units. These are roots of the polynomials
