REMARK ON AVERAGE OF CLASS NUMBERS OF FUNCTION FIELDS
REMARK ON AVERAGE OF CLASS NUMBERS OF FUNCTION FIELDS
Let <TEX>$k=\mathbb{F}_q(T)$</TEX> be a rational function field over the finite field <TEX>$\mathbb{F}_q$</TEX>, where q is a power of an odd prime number, and <TEX>$\mathbb{A}=\mathbb{F}_q[T]$</TEX>. Let <TEX>${\gamma}$</TEX> be a generator of <TEX>$\mathbb{F}^*_q$</TEX>. Let <TEX>$\mathcal{H}_n$</TEX> be the subset of <TEX>$\mathbb{A}$</TEX> consisting of monic square-free polynomials of degree n. In this paper we …