Name: On the factorization of integrers
Creator: R. L. Duncan
Keywords: Other results on the distribution of values or the characterization of arithmetic functions, 0301 basic medicine, 0303 health sciences, 03 medical and health sciences, normal order, Factorization; primality, 0101 mathematics, average order, 16. Peace & justice, 01 natural sciences

On the factorization of integers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 1970 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 25, pages 191-192 (issn: 0002-9939, eissn: 1088-6826,

Authors: R. L. Duncan;

doi: 10.1090/s0002-9939-1970-0252311-1 , 10.2307/2036555

On the factorization of integrers

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Abstract

The order of magnitude of the average of the exponents in the canonical factorization of an integer is discussed. In particular, it is shown that this average has normal order one and a result which implies that the average order is one is also derived.

Keywords

Other results on the distribution of values or the characterization of arithmetic functions, normal order, Factorization; primality, average order

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