Divisors of a Quadratic Form with Primes
- Authors: Korolev M.A.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 303, No 1 (2018)
- Pages: 154-170
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175670
- DOI: https://doi.org/10.1134/S0081543818080138
- ID: 175670
Cite item
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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