Note on a paper by A. Granville and K. Soundararajan

Jie Wu (1)

1 IECN - Institut Élie Cartan de Nancy

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 $1/(p+1)$.

Mots clés: Results on $L(1; \chi)$

Domaines: Théorie des nombres [math.NT]

Jie Wu. Note on a paper by A. Granville and K. Soundararajan. Journal of Number Theory, 2007, 123, pp.329--351. ⟨hal-00091807⟩