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Constructing totally p-adic numbers of small height.
- Source :
-
International Journal of Number Theory . Apr2022, Vol. 18 Issue 3, p501-514. 14p. - Publication Year :
- 2022
-
Abstract
- Bombieri and Zannier gave an effective construction of algebraic numbers of small height inside the maximal Galois extension of the rationals which is totally split at a given finite set of prime numbers. They proved, in particular, an explicit upper bound for the lim inf of the height of elements in such fields. We generalize their result in an effective way to maximal Galois extensions of number fields with given local behavior at finitely many places. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRAIC numbers
*PRIME numbers
*P-adic analysis
Subjects
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 18
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 156111241
- Full Text :
- https://doi.org/10.1142/S1793042122500294