Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772540 | Journal of Number Theory | 2017 | 21 Pages |
Abstract
Let OK and CK be respectively the ring of integers and the class group of a number field K. For each integer qâ¥2, denote by âq(K) the product of all the maximal ideals of OK with norm q, if these ideals do not exist we set âq(K)=OK. The Pólya group of K is the subgroup of CK generated by the classes of the ideals âq(K), and K is called a Pólya field if the module of integer-valued polynomials over OK has a regular basis. In this paper, we determine Pólya group of any imaginary bicyclic biquadratic number field, and thus we deduce all the imaginary bicyclic biquadratic Pólya fields.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mohammed Taous, Abdelkader Zekhnini,