Showing math.NTShow all
2 papers · 1 filter
math.NT2025
On the number of divisors of Mersenne numbers
Vjekoslav Kovač, Florian Luca
Denote , where is the number of divisors function. Motivated by a question of Paul Erdős, we show that the sequence of ratios is…
math.NT2025
On the irrationality of certain super-polynomially decaying series
Tonći Crmarić, Vjekoslav Kovač
We give a negative answer to a question by Paul Erdős and Ronald Graham on whether the series \[ \sum_{n=1}^{\infty} \frac{1}{(n+1)(n+2)\cdots(n+f(n))} \] has an irrational sum whe…