Reciprocity laws for algebras over function fields
โ Scribed by B. M. Bekker
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1975
- Tongue
- English
- Weight
- 165 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t