Infinitely Often Dense Bases for the Integers with a Prescribed Representation Function
AbstractNathanson constructed asymptotic bases for the integers with prescribed representation functions, 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 when we prescribe an arbitrary representation function.
2016 ◽
Vol E99.A
(1)
◽
pp. 185-195
2019 ◽
Vol 71
(3)
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pp. 1005-1026
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