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Some questions on biquadratic Pólya fields
Journal of Number Theory ( IF 0.7 ) Pub Date : 2021-01-04 , DOI: 10.1016/j.jnt.2020.10.012
Charles Wend-Waoga Tougma

A number field is called a Pólya field if the module of integer-valued polynomials over its ring of integers has a regular basis. Let L be a field which is a compositum of two quadratic Pólya fields. Some questions were raised on Pólyaness of L in [7]. Part was solved in [3] and [8]. Here we develop a general strategy allowing us to treat the remaining cases but also to find all these previous results.



中文翻译:

关于双二次波利亚域的一些问题

如果整数环上的整数值多项式的模具有正则基,则数字字段称为 Pólya 字段。设L是一个场,它是两个二次波利亚场的复合场。在 [7] 中对L 的Pólyaness 提出了一些问题。部分在[3]和[8]中解决。在这里,我们制定了一个通用策略,允许我们处理剩余的病例,但也可以找到所有这些先前的结果。

更新日期:2021-01-04
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