Automata and transcendence of the Tate period in finite characteristic
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- by Jean-Paul Allouche and Dinesh S. Thakur PDF
- Proc. Amer. Math. Soc. 127 (1999), 1309-1312 Request permission
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 $\sigma _k(n)=\sum _{d|n}d^k$.References
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Additional Information
- Jean-Paul Allouche
- Affiliation: CNRS, LRI, Bâtiment 490, Université d’Orsay F-91405 Orsay Cedex, France
- Email: allouche@lri.fr
- Dinesh S. Thakur
- Affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721
- Email: thakur@math.arizona.edu
- Received by editor(s): August 27, 1997
- Published electronically: January 27, 1999
- Additional Notes: The second author was supported in part by NSF grant DMS 9623187.
- Communicated by: David E. Rohrlich
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1309-1312
- MSC (1991): Primary 11J89, 11G07, 68Q68, 11B85
- DOI: https://doi.org/10.1090/S0002-9939-99-04650-X
- MathSciNet review: 1476112