MathOverflow

I've been trying to adapt the classic large sieve inequality to a particular problem. At one point, I've run into trying to evaluate the following partial sums:
$$\Lambda(Q)=\sum_{q\leq Q}\mu(q)^2\prod_{p|q}\frac{(p-1)}{(p+1)^2}$$
My advisor has told me to use the Selberg-Delange method, but I'm having quite a lot of trouble properly applying it since it's the first time I've ever tried to. Could anybody give me a precise reference to the simplest form of the Selberg-Delange theorem...

Let $k$ be a positive integer. Let $n$ and $m$ be positive integers with $m$ roughly $\log_2 n$, let $V$ be an $n$-dimensional vector space over $\mathbb{F}_2$, let $W$ be an $m$-dimensional vector space over $\mathbb{F}_2$, where $\mathbb{F}_2$ is the...

Let $a_1=(1,0), a_2$ be two points on the unit circle $T$ of the complex space $\Bbb C$. Assume that the angle between $a_1$ and $a_2$ are $\theta$ (see the image below):
Define the function$$r(z)=\frac{1}{z-a_1}+\frac{1}{z-a_2}$$
Define the integral:$$\phi(\theta):=\int_D |r(z)|d\mu(z)$$where $D$ is a unit disk and $d\mu(z)$ is the 2-D Lebesgue measure (Lebesgue measure $\mu(z)$ on the unit disk, $d\mu(z) = \pi^{−1 }dxdy, z = x + iy$),...

The following question is very basic and a bit vague, feel free to close it.
I once came up with the following way to define the sum $\sum_{i \in I} a_i$ of an unordered family $(a_i)_{i \in I}$ where $I$ is a finite set and $a_i \in A$ are elements of a commutative monoid $(A, +)$:Namely, we define when an element $s \in A$...