Liebendörfer, Christine. (2004) Linear equations and heights over division algebras. Journal of Number Theory, 105 (1). pp. 101-133.
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Official URL: https://edoc.unibas.ch/63930/
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Abstract
We make a start on the investigation of “small” solutions to systems of homogeneous linear equations over non-commutative division algebras. In this paper we prove some upper and lower bounds for the sizes of solutions to such systems. To measure solutions and coefficient matrices we define heights which satisfy natural invariance and finiteness properties.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik |
|---|---|
| UniBasel Contributors: | Zehrt, Christine |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Elsevier |
| ISSN: | 0022-314X |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 10 Sep 2020 07:11 |
| Deposited On: | 10 Sep 2020 07:11 |
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