Displaying similar documents to “On a method of Balasubramanian and Ramachandra (on the abelian group problem)”

On the number of subgroups of finite abelian groups

Aleksandar Ivić (1997)

Journal de théorie des nombres de Bordeaux

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Let T ( x ) = K 1 x log 2 x + K 2 x log x + K 3 x + Δ ( x ) , where T ( x ) denotes the number of subgroups of all abelian groups whose order does not exceed x and whose rank does not exceed 2 , and Δ ( x ) is the error term. It is proved that ∫ 1 X Δ 2 ( x ) d x ≪ X 2 log 31 / 3 X , ∫ 1 X Δ 2 ( x ) d x = Ω ( X 2 log 4 X ) .

Small subsets of finite abelian groups

Robert Kaufman (1968)

Annales de l'institut Fourier

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Méthode probabiliste pour les moyennes de Fourier, sur un groupe fini, relatives à des mesures singulières.