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This article is cited in 4 scientific papers (total in 5 papers)
The Hardy–Littlewood problem for numbers with a fixed number of prime divisors
N. M. Timofeev Vladimir State Pedagogical University
Abstract:
In this paper we investigate the number of representations of a natural number $N$ as the sum of a number with $k$ prime divisors and two squares, where $k$ may depend on $N$. We determine the asymptotic behaviour when $2\leqslant k\leqslant(2-\varepsilon)\ln\ln N$ and $(2+\varepsilon)\ln\ln N\leqslant k\leqslant b\ln\ln N$.
Received: 05.12.1994
Citation:
N. M. Timofeev, “The Hardy–Littlewood problem for numbers with a fixed number of prime divisors”, Izv. RAN. Ser. Mat., 59:6 (1995), 181–206; Izv. Math., 59:6 (1995), 1283–1309
Linking options:
https://www.mathnet.ru/eng/im58https://doi.org/10.1070/IM1995v059n06ABEH000058 https://www.mathnet.ru/eng/im/v59/i6/p181
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Abstract page: | 262 | Russian version PDF: | 92 | English version PDF: | 28 | References: | 37 | First page: | 2 |
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