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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.
Received: 11.11.1994
Citation:
Zh. V. Piyadina, “An analog of the generalized Hardy–Littlewood problem with almost prime numbers”, Mat. Zametki, 59:1 (1996), 81–94; Math. Notes, 59:1 (1996), 58–68
Linking options:
https://www.mathnet.ru/eng/mzm1696https://doi.org/10.4213/mzm1696 https://www.mathnet.ru/eng/mzm/v59/i1/p81
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Abstract page: | 329 | Full-text PDF : | 167 | References: | 41 | First page: | 1 |
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