Sums and differences of power-free numbers

• Autorzy: Julia Brandes
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N35: Sieves
• 11N25: Distribution of integers with specified multiplicative constraints

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 169
• Numer: 2
• Strony: 169-180

Daty

wydano

2015

Twórcy

autor

Julia Brandes

• Mathematisches Institut, Bunsenstr. 3-5, 37073 Göttingen, Germany

Identyfikatory

DOI

10.4064/aa169-2-4