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About a forty years old conjecture by P. Erdős

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Abstract

In connection with a characterization ofc logn within the class of additive arithmetic functions, i.e. such thatf (mn)=f(m)+f(n), which has been conjectured by P. Erdős in 1946 and is still unproved, we outline some subsequent researches involving various tools and standpoints, and we report some expressive results either lying close to that conjecture or revealing a similar spirit.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, I-10123, Torino, Italy

    Fulvia Skof

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  1. Fulvia Skof
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Correspondence to Fulvia Skof.

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Conferenza tenuta il giorno 30 Novembre 1998

Lavoro eseguito nell’ambito del Gruppo G.N.A.F.A. del C.N.R. e con il contributo del Ministero dell’ Università e della Ricerca Scientifica e Tecnologica (ex 40%).

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Skof, F. About a forty years old conjecture by P. Erdős. Seminario Mat. e. Fis. di Milano 68, 217–229 (1998). https://doi.org/10.1007/BF02925837

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