4.1 Article

GAPS BETWEEN FRACTIONAL PARTS, AND ADDITIVE COMBINATORICS

Journal

QUARTERLY JOURNAL OF MATHEMATICS
Volume 68, Issue 1, Pages 1-11

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/qmath/hav012

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Funding

  1. Hungarian National Research Grant [K 109789, NK 104183]
  2. NSERC
  3. ERC Advanced Research Grant [267165]

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We give bounds on the number of distinct differences N-a - a as a varies over all elements of a given finite set A subset of (R/Z)(d), d >= 1 and N-a is a nearest neighbour to a.

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