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A note on towers of function fields over finite fields

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].