Find Paper, Faster
Example:10.1021/acsami.1c06204 or Chem. Rev., 2007, 107, 2411-2502
Additive properties of numbers with restricted digits
Algebra & Number Theory  (IF0.938),  Pub Date : 2021-06-30, DOI: 10.2140/ant.2021.15.1283
Han Yu

We consider some additive properties of integers with restricted digit expansions. Let b 3 be an integer and Bb be the set of integers whose base b expansions have only digits {0,1}. Let a,b,c be three integers greater than 2. We give some estimates on the size of (Ba + Bb) Bc. In particular, under mild conditions, (Ba + Bb) Bc is a very thin set in the sense that for each 𝜖 > 0, as N ,

#((Ba + Bb) Bc [1,N]) = O(N𝜖).