Let be the series in the form [tex] g(s)= \sum_{1 \le n } |\Lambda (n) |^{2} n^{-s} [/tex] where lambda is Von Mangoldt function, my question is how could i get an exact or at least almost exact expresion for g(s) . My other question is how could i obtainthe Mellin transform of the function [tex] \Lambda (n+2) \Lambda (n+1) [/tex] i have tried sum by parts but got no results.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Dirichlet series

**Physics Forums | Science Articles, Homework Help, Discussion**