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

Sums and differences of power-free numbers

Julia Brandes (2015)

Acta Arithmetica

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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.