 Home

Codex Wiki

Mathematics

Area of mathematics

Number theory

Analytic number theory

{c}
{title2=$\psi(x;q,a)$}

For $(a,q)=1$,
$$
\psi(x;q,a)
=\sum_{\substack{n\leq x\\n\equiv a\pmod q}}\Lambda(n).
$$
The <Orthogonality of Dirichlet characters> expresses it in terms of character-twisted <Von Mangoldt functions>.

Chebyshev function in an arithmetic progression

Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 150 / 4 / b / Solution

Chebyshev function in an arithmetic progression ( $ψ (x; q, a)$ )

 Ancestors (5)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Chebyshev function in an arithmetic progression (ψ(x;q,a))

 Ancestors (5)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

Chebyshev function in an arithmetic progression ( $ψ (x; q, a)$ )

 Discussion (0)