Note on a paper by A. Granville and K. Soundararajan
Résumé
In this note, we improve some results of Granville \& Soundararajan on the distribution of values of the truncated random Euler product $$L(1, X; y) := \prod_{p\le y} \big(1-X(p)/p\big)^{-1},$$ where the $X(p)$ are independent random variables, taking the values $\pm 1$ with equal probability $p/2(p+1)$ and 0 with probability $1/(p+1)$.