By way of context: it is known that the prime number theorem $\pi(x) \sim x/\log x$ is (nontrivially) equivalent to the statement that $\zeta(s)$ does not vanish on the line $\Re s=1$.
I would like to have it clarified what are the analogous equivalent statements for primes in arithmetic progres...
Let $(X,\tau)$ be a topological vector space. Suppose that, there is a sequence of subsets $X_n\subseteq X$ with,
For every $n\in \mathbb{N}$, the topology $\tau$ on $X_n$ is second countable and metrizable space.
$X_n\subseteq X_{n+1}$ and $X=\bigcup X_n$.
Q. Is the Borel sigma algebra com...
Let $(X,\tau)$ be a topological vector space. Suppose that, there is a sequence of subsets $X_n\subseteq X$ with,
For every $n\in \mathbb{N}$, the topology $\tau$ on $X_n$ is second countable and metrizable space.
$X_n\subseteq X_{n+1}$ and $X=\bigcup X_n$.
Q. Is the Borel sigma algebra com...
