The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Sums of digits, overlaps, and palindromes.”

Sums and differences of power-free numbers

Julia Brandes (2015)

Acta Arithmetica

Similarity:

We employ a generalised version of Heath-Brown's square sieve in order to establish an asymptotic estimate of the number of solutions a, b ∈ ℕ to the equations a + b = n and a - b = n, where a is k-free and b is l-free. This is the first time that this problem has been studied with distinct powers k and l.