Hilbert cubes in arithmetic sets
Abstract
We show upper bounds on the maximal dimension d of Hilbert cubes H=a0+\0,a1\+·s + \0, ad\⊂ S [1, N] in several sets S of arithmetic interest such as the squares, powerful numbers and pure powers.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.