In:
Canadian Mathematical Bulletin, Canadian Mathematical Society, Vol. 16, No. 3 ( 1973-09), p. 343-345
Abstract:
H. T. Croft's Research Problems, 1967, contains the following problem due to J. H. Conway. "Let A = { a 1 , a 2 ,…, a N } be a finite set of integers, and define and Prove that A—A always has more members than A+A , unless A is symmetric about 0."Marica in [1] showed that the conjecture is false for the set A = {1, 2, 3, 5, 8, 9, 13, 15, 16}. In this case A+A has 30 elements and A—A has 29 elements.
Type of Medium:
Online Resource
ISSN:
0008-4395
,
1496-4287
DOI:
10.4153/CMB-1973-055-6
Language:
English
Publisher:
Canadian Mathematical Society
Publication Date:
1973
detail.hit.zdb_id:
1467412-9
SSG:
17,1
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