Arithmetic Progressions with Restricted Digits
Arithmetic Progressions with Restricted Digits
For an integer b⩾2 and a set S⊂{0,…,b−1}, we define the Kempner set K(S,b) to be the set of all nonnegative integers whose base-b digital expansions contain only digits from S. These well-studied sparse sets provide a rich setting for additive number theory, and in this article we study various …