General divisor functions in arithmetic progressions to large moduli

DOI10.1007/s11425-016-0355-4zbMath1351.11059arXiv1512.01470OpenAlexW3102314900MaRDI QIDQ341343

Yitang Zhang, Fei Wei, Bo Qing Xue

Publication date: 16 November 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01470

zbMATH Keywords

divisor functionarithmetic progression to large modulimean-value estimate

Mathematics Subject Classification ID

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

Related Items (2)

Operator algebras associated with multiplicative convolutions of arithmetic functions ⋮ Generalized divisor functions in arithmetic progressions: I.

Cites Work

• New equidistribution estimates of Zhang type
• Primes in arithmetic progressions to large moduli
• Bounded gaps between primes
• An Asymptotic Formula in the Theory of Numbers
• The divisor function $d_3(n)$ in arithmetic progressions
• Primes in intervals of bounded length
• The divisor problem for arithmetic progressions

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