Bill Allombert on Fri, 06 Oct 2017 22:50:13 +0200 |
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Re: idea 1 for Besançon atelier |
On Fri, Oct 06, 2017 at 09:59:00PM +0200, Vincent Delecroix wrote: > Dear pari devs, > > Here is one thing I would like to investigate and in which PARI/GP (or their > developers) might be of some help. > > I got interested in some generalizations of multiple zeta values (and > relations between them). My sums look like > > sum_{h1, h2, ..., hm} 1 / L1(h) L2(h) ... Lm(h) > > where > * the sum is over all positive integers h1, ..., hm > * Li(h) are linear with coefficients 0 or 1 > > Example of such things are the multiple zeta values as > > zeta(s1, ..., sm) = > sum 1 / (h1^s1 (h1 + h2)^s2 ... (h1 + ... + hm)^sm) If all the Li are equal, then the result is a linear combination of zeta values. Cheers, Bill.