Divisors of a Quadratic Form with Primes


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Abstract

We obtain an asymptotic formula for the average number of divisors of the quadratic form A(x, y, z) = xy + xz + yz, where x, y, and z run through prime numbers from the interval X <x,y,z ≤ 2X.

About the authors

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: korolevma@mi-ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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