- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
22
2006
2
Arithmetic properties of positive integers with fixed digit sum
Florian
Luca
UNAM, Campus Morelia, MORELIA, MICHOACÁN, MEXICO
Sum of digits, smooth numbers, subspace theorem, linear forms in logarithms
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.
Number theory
General
369
412
10.4171/RMI/461
http://www.ems-ph.org/doi/10.4171/RMI/461