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Minimum overlap problem
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Minimum overlap problem : ウィキペディア英語版
Minimum overlap problem
In number theory, the minimum overlap problem is a problem proposed by Hungarian mathematician Paul Erdős in 1955.
== Formal statement of the problem ==

Let and be two complementary subsets, a splitting of the set of natural numbers , such that both have the same cardinality, namely . Denote by the number of solutions of the equation , where is an integer varying between . is defined as:
:M(n) := \min_ \max_k M_k. \,\!
The problem is to estimate when is sufficiently large.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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