Multiple zeta values: from numbers to motives
Web5 mai 2024 · Multiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple … Web25 apr. 2001 · In this paper, we construct an object of the abelian category of mixed Tate motive associated to multiple zeta values. as a consequence, we prove the inequality of the dimension of the vector space generated by multiple zeta values, which is conjectured by Zagier. (Some errors was corrected from the first version. Namely, we changed the …
Multiple zeta values: from numbers to motives
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WebKeywords: multiple zeta values, mixed Tate motives, projective line minus three points, depth filtration, Broadhurst–Kreimer conjecture, period polynomials, zeta elements. ... (in this case, the number 116) in terms of ratios of critical values of the L-function of Δ. 1.2 The projective line minus three points Let GdR MT (Z) =Aut Web5 mai 2024 · J. B. Gil and J. Fresán, Multiple zeta values: from numbers to motives, Clay Mth. Proceedings, to appear. F Brown F. Brown, Depth-graded motivic multiple zeta value, arXiv:1301.3053. B...
Web12 oct. 2024 · It has already been shown that many multiple zeta values can explicitly be expressed as rational polynomials in the single zeta values, e.g., \zeta ^\star (3,1)=\frac {5} {4}\,\zeta (4), or, \zeta ^\star (3,3)=\frac {1} {2}\cdot \left ( \zeta ^2 (3)+\zeta (6)\right) , are two simple well-known examples, the first of which is dated back to Euler … Web21 sept. 2024 · We prove that all motivic multiple zeta values may be expressed as $\mathbb{Q}[2 \pi i]$-linear combinations of motivic iterated Eisenstein integrals along …
Web8 feb. 2015 · Multiple zeta values Mixed Tate motives Let be a number field with ring of integers . Last time we introduced a neutral Tannakian category of mixed Tate motives …
WebFrancis Brown (Mixed Tate motives over Z and On the decomposition of motivic multiple zeta values) shows how to lift these even further in such a way that m(2) 6= 0. This is …
Web9 apr. 2002 · Abstract: We give a natural construction of unramified over Z framed mixed Tate motives, whose periods are the multiple zeta values. Namely, for each … modern coffee tables roundWeb14 apr. 2024 · The main purpose of this paper is to define multiple alternative q-harmonic numbers, Hnk;q and multi-generalized q-hyperharmonic numbers of order r, Hnrk;q by … modern coffee table quotesWebAfter making some choices, the motivic multiple zeta values (1:3) can be viewed as elements of HMT+de ned by functions on a certain subscheme of the motivic torsor of … modern coffee table wayfairWebWe review motivic aspects of multiple zeta values, and as an ap- plication, we give an exact-numerical algorithm to decompose any (motivic) multiple zeta value of given weight into a chosen basis up… Expand 172 PDF Valeurs zêta multiples. Une introduction Michel Waldschmidt Mathematics 2000 modern coffee table supplierWeb10. Seidai Yasuda. Finite real multiple zeta values generate the whole space \(Z\). Int. J. Number Theory, 12(3):787-812, 2016. DOI 10.1142/S1793042116500512; zbl 1406.11090; MR3477421; arxiv 1403.1134. 11. Jianqiang Zhao. Multiple zeta functions, multiple polylogarithms and their special values, volume 12 of Series on Number Theory and its ... modern coffee tables setWeb[1] (with J. I. Burgos Gil) Multiple zeta values: from numbers to motives Clay Mathematics Proceedings, to appear. [2] Équirépartition de sommes exponentielles … modern coffee tables blackWebWe establish a short exact sequence about depth-graded motivic double zeta values of even weight relative to μ 2.We find a basis for the depth-graded motivic double zeta values relative to μ 2 of even weight and a basis for the depth-graded motivic triple zeta values relative to μ 2 of odd weight. As an application of our main results, we prove Kaneko and … modern coffee table rectangular shape