On the factorization of integrers
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.
G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.
Ivan Niven, Averages of exponents in factoring integers, Proc. Amer. Math. Soc. 22 (1969), 356-360.
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