The **sign** of the functional equation of an analytic L-function, also called the **root number**, is the complex number $\varepsilon$ that appears in the functional equation of $\Lambda(s)=\varepsilon \overline{\Lambda}(1-s)$. The sign appears as the 4th entry in the quadruple
known as the Selberg data.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Andrew Sutherland on 2018-09-30 10:15:57

**Referred to by:**

- cmf.lfunction
- columns.lfunc_lfunctions.root_number
- ec.q.analytic_rank
- g2c.analytic_rank
- intro.tutorial
- lfunction.functional_equation
- lfunction.root_angle
- rcs.rigor.cmf
- rcs.rigor.g2c
- rcs.rigor.lfunction.curve
- rcs.rigor.lfunction.modular
- lmfdb/elliptic_curves/templates/congruent_number_data.html (line 157)
- lmfdb/hypergm/main.py (line 820)
- lmfdb/hypergm/templates/hgm-show-motive.html (line 28)
- lmfdb/lfunctions/main.py (line 332)
- lmfdb/lfunctions/main.py (line 516)
- lmfdb/lfunctions/templates/Lfunction.html (line 90)
- lmfdb/lfunctions/templates/MaassformGL2.html (line 23)
- lmfdb/lfunctions/templates/ellipticcurve.html (line 17)
- lmfdb/lfunctions/templates/genus2curve.html (line 16)

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

- 2018-09-30 10:15:57 by Andrew Sutherland (Reviewed)