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Journal: Annales Mathematicae Silesianae

Some observations on the greatest prime factor of an integer

Rafael Jakimczuk

Language: EN | Published: 23-11-2022 | Abstract | pp. 67-81

We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.

2022-11-23



Journal: Annales Mathematicae Silesianae

Concluding remarks to problem of Moser and conjecture of Mawhin

Jan Andres

Language: EN | Published: 30-09-1996 | Abstract | pp. 57-65

Uniqueness, exact multiplicity and stability of periodic solutions to the periodically forced pendulum equation are discussed. All of this can be considered as a further specification of contributions to the problem of Moser and especially Mawhin's conjecture.

1996-09-30