Theta Series of Quaternion Algebras over
โ
Holly J. Rosson
๐
Article
๐
2002
๐
Elsevier Science
๐
English
โ 227 KB
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