New estimates in the four-dimensional divisor problem with applications

DOI10.1007/S10474-009-9059-0zbMath1224.11082OpenAlexW1993013619MaRDI QIDQ624234

Ekkehard Krätzel

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9059-0

zbMATH Keywords

divisor problemfinite Abelian groupexponential sumasymptotic results on arithmetic functionsexponential divisorpowerful integer

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Weyl sums (11L15)

Related Items (2)

On the four-dimensional divisor problem of \((a,b,c,c)\) type ⋮ Exponential and infinitary divisors

Cites Work

• The distribution of values of the enumerating function of finite, non-isomorphic Abelian groups in short intervals
• Estimates in the general divisor problem
• Many-Dimensional Generalized Divisor Problems
• On the average number of direct factors of a finite abelian group
• On the average number of direct factors of a finite Abelian group
• The distribution of powerful integers of type 4

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