On multiple zeta values of level two
WebThus, each value (2k) is a rational multiple of ˇ2k. If that isn’t surprising to you, be aware of the following: the odd values (2k + 1) are not expected to be related to ˇin any signi cant algebraic way. Why the even zeta values (2k) are algebraically related to ˇand the odd values (2k + 1) are (probably) not is one unsolved Web1 de jan. de 2013 · Introduction and main results Double zeta values of level 2 are deï¬ ned by ζ o(r, s)= ∑ m>n>0 m,n:odd 1 mrns , (1) here r, s are positive integers with r 2. …
On multiple zeta values of level two
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WebEvery multiple zeta value (1:1) is a Q-linear combination of (1.2) f (n 1;:::;n r); where n 1;:::;n r2f2;3gg: In this paper we proveConjectures 1and 2using motivic multiple zeta values. These are elements in a certain graded comodule HMT+over the a ne ring of functions on the prounipotent part of G WebWe study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the ‘shuffle counterpart’ of Hoffman’s ‘odd variant’, exhibits nice properties such as duality, shuffle product, parity results, etc., like ordinary multiple zeta values. We also give some …
WebWe study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the ‘shuffle … Web30 de nov. de 2024 · We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is …
Web1 de jan. de 2013 · Introduction and main results Double zeta values of level 2 are deï¬ ned by ζ o(r, s)= ∑ m>n>0 m,n:odd 1 mrns , (1) here r, s are positive integers with r 2. These real values can be regarded as a kind of Euler ms (see Section 2) or multiple Hurwitz series (see [8]), which are well studied, but apparently it believed that the form … Web19 de nov. de 2024 · We first review our previous works of Arakawa and the authors on two, closely related single-variable zeta functions. Their special values at positive and …
Web1 de dez. de 2024 · On multiple zeta values of level two. We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta …
WebWe will mainly deal with three types of objects: Multiple zeta values (real numbers), modular forms (holomorphic func- tions in the complex upper half plane) and q-analogues of multiple zeta values (q-series with rational coe cients). try to remember line danceWeb7 de mai. de 2024 · D. Ma, Period polynomial relations between formal double zeta values of odd weight, Mathematische Annalen 365 (2016), 345–362. Article MathSciNet Google … try to remember lyrics meaningWeb9 de mar. de 2024 · We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is … try to remember jerry orbach lyrics youtubeWeb26 de set. de 2024 · In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $(\{1\}^a,c,\{1\}^b),$ … phillips county fair 2022WebWe study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the `shuffle counterpart' of Hoffman's `odd variant', exhibits nice properties such as duality, shuffle product, parity results, etc., like ordinary multiple zeta values. We also give some … phillips county fair dodsonWebAbstract. We introduce and study a \level two" analogue of nite multiple zeta values. We give conjectural bases of the space of nite Euler sums as well as that of usual nite … try to remember lyrics bpmWebThe multiplicative anomaly associated with the zeta-function regularized determinant is computed for the Laplace-type operators V1=−Δ+V1 and V2=−Δ+V2, with V1, V2 constant, in a D-dimensional compact smooth manifold MD, making use of several results due to Wodzicki and by direct calculations in some explicit examples. It is found that the … phillips county election results