| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593833 | Journal of Number Theory | 2014 | 7 Pages |
Abstract
A number field is called a Pólya field if the module of integer-valued polynomials over its integers has a regular basis. In this paper, we answer two open questions raised in [4] on biquadratic Pólya fields using some results of [8] and [2] on Galois cohomology of number fields. In particular, we find infinitely many biquadratic Pólya fields with only one quadratic Pólya subfield.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bahar Heidaryan, Ali Rajaei,