Geodesic
On sums of powers of the $p$-adic valuation of $n$!
Journal of integer sequences, Tome 20 (2017) no. 5.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study sums where the multiplicities of the primes in the prime factorization of $n$! appear, and obtain a strong connection between these sums and the Riemann zeta function.
Keywords: factorial, prime factorization, Riemann zeta function 
@article{JIS_2017__20_5_a5,
     author = {Jakimczuk, Rafael},
     title = {On sums of powers of the $p$-adic valuation of $n$!},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_5_a5/}
}
TY  - JOUR
AU  - Jakimczuk, Rafael
TI  - On sums of powers of the $p$-adic valuation of $n$!
JO  - Journal of integer sequences
PY  - 2017
VL  - 20
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2017__20_5_a5/
LA  - en
ID  - JIS_2017__20_5_a5
ER  - 
%0 Journal Article
%A Jakimczuk, Rafael
%T On sums of powers of the $p$-adic valuation of $n$!
%J Journal of integer sequences
%D 2017
%V 20
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2017__20_5_a5/
%G en
%F JIS_2017__20_5_a5
Jakimczuk, Rafael. On sums of powers of the $p$-adic valuation of $n$!. Journal of integer sequences, Tome 20 (2017) no. 5. http://geodesic.mathdoc.fr/item/JIS_2017__20_5_a5/