On a method of Balasubramanian and Ramachandra (on the abelian group problem)
A. Sankaranarayanan, K. Srinivas (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Comparing the number of abelian groups and of semisimple rings of a given order”
On a method of Balasubramanian and Ramachandra (on the abelian group problem)
Divisor problems in special sets of positive integers.
Nowak, W.G. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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On the number of Abelian groups of a given order
B Srinivasan (1973)
Acta Arithmetica
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On certain arithmetic functions involving the greatest common divisor
Ekkehard Krätzel, Werner Nowak, László Tóth (2012)
Open Mathematics
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The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
On the density of the zeros of the Dedekind Zeta-function
D. Heath-Brown (1977)
Acta Arithmetica
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On the value distribution of a class of arithmetic functions
Werner Georg Nowak (1996)
Commentationes Mathematicae Universitatis Carolinae
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This article deals with the value distribution of multiplicative prime-independent arithmetic functions with if is -free ( a fixed integer), else, and . An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zeta-function. Applications to the enumerative functions of Abelian groups and of semisimple rings of given finite order are discussed.
Logarithmic derivatives of Dirichlet -functions and the periods of abelian varieties
Greg W. Anderson (1982)
Compositio Mathematica
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