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

Journal Article · · Sbornik. Mathematics
 [1]
  1. Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences, Khabarovsk (Russian Federation)

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.

OSTI ID:
22365580
Journal Information:
Sbornik. Mathematics, Vol. 205, Issue 3; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English