P. Pollack

collaborators

2 papers

math.NT2026

On the digits of the sum of proper divisors

KÃ¼bra Benli, CÃ©cile Dartyge, Charlotte Dombrowsky +2

We study several probabilistic questions concerning the digits of $s (n)$ , the sum of proper divisors of an integer $n$ . In particular, we show that $s (n)$ obeys Benford's law with…

math.NT2026

Small values of Carmichael's lambda function

Paul Pollack

Let $I^» (n)$ be the exponent of the multiplicative group $(Z / n Z)^{\times}$ , and set $L (x, y) = # {n \leq x : I^» (n) \leq y}$ . We prove an upper bound for $\log \frac{L(…