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arXiv 1801.05097math.COmath.NT
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覆盖系统的布尔函数类

Boolean Function Analogs of Covering Systems

Anthony Zaleski, Doron Zeilberger

摘要:

Bob Hough最近推翻了Paul Erdans关于覆盖系统的一个长期猜想。受他的开创性论文的启发,我们描述了布尔函数覆盖系统的类似物,更一般地说,覆盖离散超盒的非平行低维超子盒的问题。我们指出,素数往往是红鲱鱼。覆盖系统肯定是这样的,谁知道呢,也许黎曼假设也是这样。

英文摘要:

Bob Hough recently disproved a long-standing conjecture of Paul Erdős regarding covering systems. Inspired by his seminal paper, we describe analogs of covering systems to Boolean functions, and more generally, the problem of covering discrete hyper-boxes by non-parallel lower dimensional hyper-subboxes. We point out that very often primes are red herrings. This is definitely the case for covering system, and who knows, perhaps also for the Riemann Hypothesis.

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。

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