On an additive arithmetic function

K. Alladi, P. Erdős

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We discuss in this paper arithmetic properties of the function. Asymptotic estimates of A(n) reveal the connection between A(n) and large prime factors of n. The distribution modulo 2 of A(n) turns out to be an interesting study and congruences involving A(n) are considered. Moreover the very intimate connection between A(n) and the partition of integers into primes provides a natural motivation for its study.

Original languageEnglish
Pages (from-to)275-294
Number of pages20
JournalPacific Journal of Mathematics
Volume71
Issue number2
Publication statusPublished - 1977

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Arithmetic Functions
Additive Function
Prime factor
Asymptotic Estimates
Congruence
Modulo
Partition
Integer

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On an additive arithmetic function. / Alladi, K.; Erdős, P.

In: Pacific Journal of Mathematics, Vol. 71, No. 2, 1977, p. 275-294.

Research output: Contribution to journalArticle

Alladi, K. ; Erdős, P. / On an additive arithmetic function. In: Pacific Journal of Mathematics. 1977 ; Vol. 71, No. 2. pp. 275-294.
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