Loading [MathJax]/jax/output/HTML-CSS/jax.js
Ask Your Question

Revision history [back]

click to hide/show revision 1
initial version

Behavior of quadratic_L_function__exact()

I need to evaluate L-functions of the form n=0(Dn)ns at integers, where () is the Kronecker symbol. This is apparently what quadratic_L_function__exact(k,D) does. However I find this unreliable when D is not squarefree.

For example, the value quadratic_L_function__exact(2,4) = pi^2 / 6 is incorrect; the sum should actually be pi^2 / 8. However, the value quadratic_L_function__exact(2,12) = 1/18 * sqrt(3) * pi^2 seems correct. I can't tell what's going on.

Behavior of quadratic_L_function__exact()

I need to evaluate L-functions of the form n=0(Dn)ns at integers, where () is the Kronecker symbol. This is apparently what quadratic_L_function__exact(k,D) does. However I find this unreliable when D is not squarefree.

For example, the value quadratic_L_function__exact(2,4) = pi^2 / 6 is incorrect; not what I need; the sum should series above is actually be pi^2 / 8. However, the value quadratic_L_function__exact(2,12) = 1/18 * sqrt(3) * pi^2 seems correct. I can't tell what's going on.