English

Asymptotics of class number and genus for abelian extensions of an algebraic function field

Number Theory 2014-11-26 v9 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1102.5070,
  title  = {Asymptotics of class number and genus for abelian extensions of an algebraic function field},
  author = {Kenneth Ward},
  journal= {arXiv preprint arXiv:1102.5070},
  year   = {2014}
}

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11 pages