Automata and transcendence of the Tate period in finite characteristic

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.).