Thomas Stoll

collaborators

3 papers

math.NT2011

On a problem of Chen and Liu concerning the prime power factorization of $n!$

Johannes F. Morgenbesser, T. Stoll

For a fixed prime $p$ , let $e_{p} (n!)$ denote the order of $p$ in the prime factorization of $n!$ . Chen and Liu (2007) asked whether for any fixed $m$ , one has $\{e_p(n^2!) \bmod m:\…

math.NT2010

The sum of digits of $n$ and $n^{2}$

K. G. Hare, S. Laishram, T. Stoll

Let $s_{q} (n)$ denote the sum of the digits in the $q$ -ary expansion of an integer $n$ . In 2005, Melfi examined the structure of $n$ such that $s_{2} (n) = s_{2} (n^{2})$ . We extend this stu…

math.NT2010

Stolarsky's conjecture and the sum of digits of polynomial values

K. G. Hare, S. Laishram, T. Stoll

Let $s_{q} (n)$ denote the sum of the digits in the $q$ -ary expansion of an integer $n$ . In 1978, Stolarsky showed that $n \to \infty lim inf \frac{s _{2} ( n ^{2} )}{s _{2} ( n )} = 0.$ He conj…

On a problem of Chen and Liu concerning the prime power factorization of n!

The sum of digits of n and n2

Stolarsky's conjecture and the sum of digits of polynomial values

On a problem of Chen and Liu concerning the prime power factorization of $n!$

The sum of digits of $n$ and $n^{2}$