# Chebyshev theta function

From specialfunctionswiki

The Chebyshev $\vartheta$ function is $$\vartheta(x) = \displaystyle\sum_{p \leq x} \log p,$$ where $p \leq x$ denotes that $p$ is a prime number less than the real number $x$ and $\log$ denotes the logarithm.

**Number theory functions**