Heights and Determinants over Quaternion Algebras #
✍ Scribed by Liebendörfer, Christine
- Book ID
- 127187336
- Publisher
- Taylor and Francis Group
- Year
- 2005
- Tongue
- English
- Weight
- 191 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0092-7872
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 height
Let K be the function field over a finite field of odd order, and let H be a definite quaternion algebra over K. If L is an order of level M in H, we define theta series for each ideal I of L using the reduced norm on H. Using harmonic analysis on the completed algebra H . and the arithmetic of quat