具有给定表示函数的整数的非常稠密基
Infinitely Often Dense Bases of Integers with a Prescribed Representation Function
摘要:
Nathanson用一个指定的表示函数为整数构造了渐近基,然后问它们的密度有多大。我们可以很容易地获得一个上界使用一个简单的参数。在本文中,我们将看到,这确实是我们可以得到的最好的界限,渐近基的整数与任意表示函数规定。
英文摘要:
Nathanson constructed asymptotic bases for the integers with a prescribed representation function, then asked how dense they can be. We can easily obtain an upper bound using a simple argument. In this paper, we will see this is indeed the best bound we can get for asymptotic bases for the integers with an arbitrary representation function prescribed.
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。