A note on the values of Mahler measure in quadratic fields
Abstract In this note, we prove that quadratic algebraic integers, except for trivial cases, are not Mahler measures of algebraic integers and we also answer in negative the question of A. Schinzel [9] whether $1+\sqrt {17}$ is a Mahler measure of an algebraic number.
Authors
- Yun Wang (ORCID: https://orcid.org/0000-0001-9847-2636)
- Edward Dobrowolski
Institutions
- University of Northern British Columbia (CA)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2025-04-21
- DOI
- https://doi.org/10.4153/s0008439525000451
- Citations
- 1
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 3.69