加性数论中的问题V:仿射不等价MSTD集
Problems in additive number theory, V: Affinely inequivalent MSTD sets
摘要:
MSTD集是整数的有限集,其和大于差。证明了对无穷多个正整数$k$,存在无穷多个仿射不等价的基数MSTD集$k$ .有几个相关的未决问题。
英文摘要:
An MSTD set is a finite set of integers with more sums than differences. It is proved that, for infinitely many positive integers $k$, there are infinitely many affinely inequivalent MSTD sets of cardinality $k$. There are several related open problems.
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