A note on towers of function fields over finite fields

Ozbudak F., Thomas M.

COMMUNICATIONS IN ALGEBRA, vol.26, no.11, pp.3737-3741, 1998 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 11
  • Publication Date: 1998
  • Doi Number: 10.1080/00927879808826370
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3737-3741
  • Middle East Technical University Affiliated: Yes

Abstract

For a tower F-1 subset of or equal to F-2 subset of or equal to ... of algebraic function fields F-i/F-q, define lambda := lim(i-->infinity) N(F-i)/g(F-i), where N(F-i) is the number of rational pieces and g(F-i) is the genus of F-i/F-q. The purpose of this note is to calculate lambda for a class of towers which was studied in [1], [2] and [3].