The general divisor problem

DOI10.1016/0022-314X(87)90053-9zbMath0619.10040MaRDI QIDQ1089383

Aleksandar Ivić

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

lattice pointsasymptotic formulaerror termfinite abelian groupssummatory functionLindelöf hypothesisdivisor functionsOmega estimatesmean square integralnumber of non-isomorphic abelian groups of order n

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (10)

On Some Selected Works of Wolfgang Schwarz ⋮ On the four-dimensional divisor problem of \((a,b,c,c)\) type ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problem. I ⋮ On the general asymmetric divisor problem ⋮ On a method of Balasubramanian and Ramachandra (on the abelian group problem) ⋮ Mean square of the error term in the asymmetric multidimensional divisor problem ⋮ On the error term for the counting functions of finite Abelian groups ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problems. II ⋮ Estimates in the general divisor problem ⋮ On the number of subgroups of finite abelian groups

Cites Work

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• A zero-density theorem for the Riemann zeta-function
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• On the average order of a class of arithmetical functions
• On the number of Abelian groups of a given order and on certain related multiplicative functions
• The distribution of values of the enumerating function of non-isomorphic abelian groups of finite order
• Progress towards a conjecture on the mean value of Titchmarsh series, III
• On the Number of Finite Non‐isomorphic Abelian Groups in Short Intervals
• An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|
• Ein Teilerproblem.
• Teilerprobleme in drei Dimensionen
• Zahlen k-ter Art
• Mean value theorems for a class of Dirichlet series

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