Many-Dimensional Generalized Divisor Problems

DOI10.1002/mana.19851240108zbMath0595.10034OpenAlexW2032061076MaRDI QIDQ3726214

Matthias Vogts

Publication date: 1985

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19851240108

zbMATH Keywords

identitiesdivisor problemasymptotic formularecursion formulasgeneralizedestimates of exponential sumsmany-dimensional divisor function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Estimates on character sums (11L40)

Related Items (13)

On the four-dimensional divisor problem of \((a,b,c,c)\) type ⋮ On the distribution of square-full and cube-full numbers ⋮ On the distribution of powerful numbers ⋮ A generalized divisor problem and the sum of Chowla and Walum. II ⋮ New estimates in the four-dimensional divisor problem with applications ⋮ On multiple exponential sums and their applications ⋮ The distribution of \(k\)-full and \(l\)-free numbers ⋮ On the average number of direct factors of a finite Abelian group ⋮ The distribution of powerful integers of type 4 ⋮ On the average number of direct factors of a finite Abelian group ⋮ Estimates in the general divisor problem ⋮ On the distribution of square-full and cube-full integers ⋮ On the error term concerning the number of subgroups of the groups \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(mn \leq x\)

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