1 Search Results for "Silva, Pedro V."

Document
DOI: 10.4230/LIPIcs.STACS.2008.1321
A Mahler's theorem for functions from words to integers

Authors: Jean-Eric Pin and Pedro V. Silva

Published in: LIPIcs, Volume 1, 25th International Symposium on Theoretical Aspects of Computer Science (2008)

Abstract
In this paper, we prove an extension of Mahler's theorem, a celebrated result of $p$-adic analysis. Mahler's original result states that a function from $N$ to $Z$ is uniformly continuous for the $p$-adic metric $d_p$ if and only if it can be uniformly approximated by polynomial functions. We prove the same result for functions from $A^*$ to $Z$, where $d_p$ is now the profinite metric defined by $p$-groups (pro-$p$ metric).
Cite as

Jean-Eric Pin and Pedro V. Silva. A Mahler's theorem for functions from words to integers. In 25th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 1, pp. 585-596, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

Copy BibTex To Clipboard

@InProceedings{pin_et_al:LIPIcs.STACS.2008.1321,
  author =	{Pin, Jean-Eric and Silva, Pedro V.},
  title =	{{A Mahler's theorem for functions from words to integers}},
  booktitle =	{25th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{585--596},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-06-4},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{1},
  editor =	{Albers, Susanne and Weil, Pascal},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2008.1321},
  URN =		{urn:nbn:de:0030-drops-13212},
  doi =		{10.4230/LIPIcs.STACS.2008.1321},
  annote =	{Keywords: \$p\$-adic topology, binomial coefficients, Mahler's theorem, \$p\$-group languages}
}
  • Refine by Author
  • 1 Pin, Jean-Eric
  • 1 Silva, Pedro V.

  • Refine by Classification

  • Refine by Keyword
  • 1 $p$-adic topology
  • 1 $p$-group languages
  • 1 Mahler's theorem
  • 1 binomial coefficients

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2008

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail
© 2023-2024 Schloss Dagstuhl – LZI GmbH Imprint Privacy Contact