An L-function $L(s) = \sum_{n=1}^{\infty} a_n n^{-s}$ is called **arithmetic** if its Dirichlet coefficients $a_n$ are algebraic numbers.

**Knowl status:**

- Review status: reviewed
- Last edited by David Farmer on 2019-05-14 07:26:46

**Referred to by:**

- lfunction.coefficient_field
- lfunction.leading_coeff
- lfunction.motivic_weight
- lfunction.rational
- lfunction.trivial_zero
- st_group.rational
- lmfdb/lfunctions/main.py (line 436)
- lmfdb/lfunctions/templates/Degree2.html (line 75)
- lmfdb/lfunctions/templates/Degree3.html (line 71)
- lmfdb/lfunctions/templates/Degree4.html (line 84)
- lmfdb/lfunctions/templates/Lfunction.html (line 119)
- lmfdb/lfunctions/templates/LfunctionSearchResults.html (line 25)

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

- 2019-05-14 07:26:46 by David Farmer (Reviewed)
- 2019-05-14 07:25:43 by David Farmer
- 2019-05-05 15:42:27 by Andrew Sutherland (Reviewed)
- 2019-05-05 15:42:03 by Andrew Sutherland
- 2019-05-05 15:40:08 by Andrew Sutherland (Reviewed)
- 2019-04-30 10:03:02 by Stephan Ehlen (Reviewed)
- 2015-08-11 10:26:58 by John Cremona

**Differences**(show/hide)