On a conjecture of M. N. Bleicher and P. Erdös

Hisashi Yokota

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Abstract

Let D(a, N) = min{nk: a N = Σ1k 1 ni, n1 < n2 < ... < nk, ni ∈ Z}, where minimum ranges over all expansions of a N, and let D(N) = max{D(a, N): 1 ≤ a < N}. Then D(MN) ≤ max{MD(N), ND(M)} ≤ D(M) D(N), establishing a conjecture made by M. N. Bleicher and P. Erdös.

Original languageEnglish
Pages (from-to)89-94
Number of pages6
JournalJournal of Number Theory
Volume24
Issue number1
DOIs
Publication statusPublished - 1986 Sep

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ASJC Scopus subject areas

  • Algebra and Number Theory

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