Defining relations for a degenerate elementary unitary group over a quadratic extension of an ordered Euclidean field

A mean value theorem for orders of degre

A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field

✍ Takashi Taniguchi 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 437 KB

Let k be a function field of one variable over a finite field with the characteristic not equal to two. In this paper, we consider the prehomogeneous representation of the space of binary quadratic forms over k. We have two main results. The first result is on the principal part of the global zeta f