An analog of the generalized Hardy–Littlewood problem with almost prime numbers

Zh. V. Piyadina

Sterlitamak State Pedagogical Institute

Abstract: We obtain an asymptotic formula for the number of solutions of the equation $m'-\varphi(u,v)=a$, where $m$ is an almost prime number, $\varphi(u,v)$ is a given binary quadratic form, and $a$ is an arbitrary fixed integer.

UDC: 517

Received: 11.11.1994

DOI: 10.4213/mzm1696

 English version: Mathematical Notes, 1996, 59:1, 58–68

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