A **rational** L-function $L(s)$ is an arithmetic L-function with coefficient field $\Q$; equivalently, its Euler product in the arithmetic normalization can be written as a product over rational primes
\[
L(s)=\prod_pL_p(p^{-s})^{-1}
\]
with $L_p\in \Z[T]$.

**Authors:**

**Knowl status:**

- Review status: beta
- Last edited by David Farmer on 2019-05-14 07:22:53

**Referred to by:**

**History:**(expand/hide all)

**Differences**(show/hide)