Asymptotics of class number and genus for abelian extensions of an algebraic function field
arXiv:1102.5070 · doi:10.1016/j.jnt.2012.05.016
Abstract
Among abelian extensions of a congruence function field, an asymptotic relation of class number and genus is established. The proof is classical, employing well-known results from congruence function field theory.
arXiv comment11 pages