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Wei, Fei; Xue, Boqing; Zhang, Yitang

General divisor functions in arithmetic progressions to large moduli. (English) Zbl 1351.11059

Sci. China, Math. 59, No. 9, 1663-1668 (2016).
Summary: We prove a result on the distribution of the general divisor functions in arithmetic progressions to smooth moduli which exceed the square root of the length.

Cited in 2 Documents

MSC:

11N25 Distribution of integers with specified multiplicative constraints
11N37 Asymptotic results on arithmetic functions
11B25 Arithmetic progressions

Keywords:

divisor function; arithmetic progression to large moduli; mean-value estimate
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References:

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