Towards a sharp converse of Wall’s theorem on arithmetic progressions
Towards a sharp converse of Wall’s theorem on arithmetic progressions
Wall's theorem on arithmetic progressions says that if 0.a1a2a3 . . . is normal, then for any k, ℓ ∈ N, 0.a k a k+ℓ a k+2ℓ . . . is also normal.We examine a converse statement and show that if 0.an 1 an 2 an 3 . . . …