Talk:Multiple zeta function
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Conjectures no more
[edit]We have a section called "Sum and duality conjectures". However, these aren't conjectures any more!
In https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=608b265e94c4a3a44b117dbdb1b2d126c99a85a3 a proof of the sum conjecture is given.
In http://people.math.sfu.ca/~summerschool/summer_school_2014/mzvcrs1.pdf, Hoffman, who stated the duality conjecture, says (p8): 'I made the “duality conjecture” that ζ(I) = ζ(τ (I)). The proof turns out to be almost embarassing simple, but requires another representation of ζ(I).' He then proves it on p18. Qucchia (talk) 16:45, 1 October 2024 (UTC)