Automata and transcendence of the Tate period in finite characteristic

Authors
Allouche, JP Thakur, DS
Citation
Jp. Allouche et Ds. Thakur, Automata and transcendence of the Tate period in finite characteristic, P AM MATH S, 127(5), 1999, pp. 1309-1312
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
5
Year of publication
1999
Pages
1309 - 1312
Database
ISI
SICI code
0002-9939(199905)127:5<1309:AATOTT>2.0.ZU;2-G
Abstract
Using the techniques of automata theory, we give another proof of the funct ion field analogue of the Mahler-Manin conjecture and prove transcendence r esults for the power series associated to higher divisor functions sigma(k)(n) = Sigma(d/n)(dk.).