Description

• Title:
  The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials
• Creator:
  Oleksik, Grzegorz;
  Różycki, Adam
• Contributor:
  Faculty of Mathematics and Computer Science, University of Lodz, S. Banacha 22, 90-238, Lodz, Poland
• Description:
  Let f be a real polynomial, non-negative at infinity with non-compact zero-set. Suppose that f is non-degenerate in the Kushnirenko sense at infinity. In this paper we give a formula for the Łojasiewicz exponent at infinity of f and a formula for the exponent of growth of f in terms of its Newton polyhedron.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa 4.0 Międzynarodowe;
  http://creativecommons.org/licenses/by/4.0
• Date:
  2021.10.22;
  2018
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Springer Nature
• Relation:
  Bulletin of the Brazilian Mathematical Society, New Series;49
• Subject:
  Kushnirenko nondegeneracy;
  Newton polyhedron;
  Łojasiewicz exponent;
  14P10
• Identifier:
  Oleksik, G., Różycki, A. The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials. Bull Braz Math Soc, New Series 49, 743–759 (2018). https://doi.org/10.1007/s00574-018-0078-8;
  1678-7544;
  http://hdl.handle.net/11089/39501 ;
  1678-7714;
  10.1007/s00574-018-0078-8
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image