Arithmetic properties of positive integers with fixed digit sum
Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, p. 369-412 / Harvested from Project Euclid
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In this paper, we look at various arithmetic properties of the set of those positive integers $n$ whose sum of digits in a fixed base $b>1$ is a fixed positive integers $s$. For example, we prove that such integers can have many prime factors, that they are not very smooth, and that most such integers have a large prime factor dividing the value of their Euler $\phi$ function.
Publié le : 2006-09-14
Classification:  sum of digits,  smooth numbers,  subspace theorem,  linear forms in logarithms,  11A63,  11N64 
@article{1161871343,
     author = {Luca
,  
Florian},
     title = {Arithmetic properties of positive integers with fixed digit sum},
     journal = {Rev. Mat. Iberoamericana},
     volume = {22},
     number = {2},
     year = {2006},
     pages = { 369-412},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1161871343}
}

Luca
,  
Florian. Arithmetic properties of positive integers with fixed digit sum. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp.  369-412. http://gdmltest.u-ga.fr/item/1161871343/