On simultaneous digital expansions of polynomial values
نویسندگان
چکیده
Let sq denote the q-ary sum-of-digits function and let P1(X), P2(X) ∈ Z[X] with P1(N), P2(N) ⊂ N be polynomials of degree h, l ≥ 1, h 6= l, respectively. In this note we show that (sq(P1(n))/sq(P2(n)))n≥1 is dense in R. This extends work by Stolarsky (1978) and Hare, Laishram and Stoll (2011).
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