arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1609.01700math.NT
收藏

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

Melvyn B. Nathanson

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑