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Title: A multidimensional generalization of Heilbronn's theorem on the average length of a finite continued fraction

Heilbronn's theorem on the average length of a finite continued fraction is generalized to the multidimensional case in terms of relative minima of the lattices which were introduced by Voronoy and Minkowski. Bibliography: 21 titles.
Authors:
 [1]
  1. Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences, Khabarovsk (Russian Federation)
Publication Date:
OSTI Identifier:
22365580
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 3; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; CONTINUED FRACTIONS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MINKOWSKI SPACE