Multiple zeta algebra

[rwst]

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)

CC: @videlec @tscrim @kedlaya @dwbump @JohnCremona

Component: number theory

Keywords: motives

Author: Frédéric Chapoton

Branch/Commit: c9e3b4c

Reviewer: Vincent Delecroix

Issue created by migration from https://trac.sagemath.org/ticket/22713

[fchapoton]

comment:1

see also #18010

[fchapoton]

Branch: u/chapoton/27713

[fchapoton]

Commit: 67d78cc

[fchapoton]

New commits:

67d78cc

first sketch of MZV function

[sagetrac-git]

Changed commit from 67d78cc to 4e22cc3

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

4e22cc3

more work on multiple zeta values

[sagetrac-git]

Changed commit from 4e22cc3 to 513688c

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

513688c

trying to use precision

[fchapoton]

Changed commit from 513688c to 63096a3