Skip to content

Commit

Permalink
Trac #22713: Multiple zeta algebra
Browse files Browse the repository at this point in the history
**Old description:**

There is code in Pynac's `zeta2_eval` allowing `lst` arguments. Let's
check if that can be interfaced to Python. Is there numerics available
in mpmath or arb?

https://en.wikipedia.org/wiki/Multiple_zeta_function

**New description:**

This ticket is now used to implement the algebra of MZV, using
algorithms of Francis Brown.

Sample computation:
{{{
sage: Z = Multizeta
sage: M = matrix(2,2,[Z(2),Z(3),Z(4),Z(5)])
sage: M.det()
-10*ζ(1,6) - 5*ζ(2,5) - ζ(3,4) + ζ(4,3) + ζ(5,2)
}}}

URL: https://trac.sagemath.org/22713
Reported by: rws
Ticket author(s): Frédéric Chapoton
Reviewer(s): Vincent Delecroix
  • Loading branch information
Release Manager committed May 20, 2020
2 parents 805ee2a + c9e3b4c commit 9e34d8f
Show file tree
Hide file tree
Showing 2 changed files with 2,549 additions and 0 deletions.
2 changes: 2 additions & 0 deletions src/sage/modular/all.py
Original file line number Diff line number Diff line change
Expand Up @@ -42,6 +42,8 @@
from .etaproducts import (EtaGroup, EtaProduct, EtaGroupElement,
AllCusps, CuspFamily)

lazy_import('sage.modular.multiple_zeta', ['Multizeta', 'Multizetas'])

from .overconvergent.all import *

from .local_comp.all import *
Expand Down
Loading

0 comments on commit 9e34d8f

Please sign in to comment.