The Integers as Differences of a Sequence
Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 497-499
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It is shown that there exists a sequence of integers a1 < a2 <... such that each positive integer is a difference of elements of the sequence in exactly one way, and such that ak does not exceed a constant times k3 . In fact we construct such a sequence with each ak in [C(k -1)3, Ck3), where C is an absolute constant.
Pollington, Andrew; Eynden, Charles Vanden. The Integers as Differences of a Sequence. Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 497-499. doi: 10.4153/CMB-1981-076-x
@article{10_4153_CMB_1981_076_x,
author = {Pollington, Andrew and Eynden, Charles Vanden},
title = {The {Integers} as {Differences} of a {Sequence}},
journal = {Canadian mathematical bulletin},
pages = {497--499},
year = {1981},
volume = {24},
number = {4},
doi = {10.4153/CMB-1981-076-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-076-x/}
}
TY - JOUR AU - Pollington, Andrew AU - Eynden, Charles Vanden TI - The Integers as Differences of a Sequence JO - Canadian mathematical bulletin PY - 1981 SP - 497 EP - 499 VL - 24 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-076-x/ DO - 10.4153/CMB-1981-076-x ID - 10_4153_CMB_1981_076_x ER -
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