On certain large additive functions

Details On certain large additive functions On certain large additive functions

2003-11-27

arxiv.org/abs/math/0311505v1

"Paul Erd\H os and his Mathematics I", J. Bolyai Soc. Math. Studies 11, Budapest, 2002, pp, 319-331

Mathematics

Number Theory

9 pages, Dedicated to Paul Erd\H os

Scientific paper

Let P(n) denote the largest prime factor of $n \ge 2, P(1) = 1$, and let $$
\beta(n) = \sum_{p|n}p, \Beta(n) = \sum_{p^\alpha||n}\alpha p, \Beta_1(n) =
\sum_{\p^\alpha||n}p^\alpha $$ denote "large" additive functions. A survey of
results on the functions $P(n), \beta(n), \Beta(n)$ and $\Beta_1(n)$ is
presented, as well as some new results and open problems.

Affiliated with

Also associated with

No associations

Rating

On certain large additive functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On certain large additive functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On certain large additive functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519251