Automata and transcendence of the Tate period in finite characteristic-Reference-Cited by-同舟云学术

Automata and transcendence of the Tate period in finite characteristic

Published:1999-01-27 Issue:5 Volume:127 Page:1309-1312
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Allouche Jean-Paul,Thakur Dinesh

Abstract

Using the techniques of automata theory, we give another proof of the function field analogue of the Mahler-Manin conjecture and prove transcendence results for the power series associated to higher divisor functions σ k ( n ) = ∑ d | n d k \sigma _k(n)=\sum _{d|n}d^k .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-05/S0002-9939-99-04650-X/S0002-9939-99-04650-X.pdf

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