TY - JOUR
T1 - On a conjecture of M. N. Bleicher and P. Erdös
AU - Yokota, Hisashi
PY - 1986/9
Y1 - 1986/9
N2 - 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.
AB - 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.
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U2 - 10.1016/0022-314X(86)90060-0
DO - 10.1016/0022-314X(86)90060-0
M3 - Article
AN - SCOPUS:46149130999
SN - 0022-314X
VL - 24
SP - 89
EP - 94
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 1
ER -