Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594328 | Journal of Number Theory | 2012 | 8 Pages |
Abstract
Among abelian extensions of a congruence function field, an asymptotic relation of class number and genus is established: namely, for such extensions with class number h, genus g, and field of constants F, that . The proof is completely classical, employing well known results from congruence function field theory. This gives an answer to a question of E. Inaba.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory