On multiple zeta values of level two
Web1 de mar. de 2012 · A formula is given for the special multiple zeta values occurring in the title as rational linear combinations of products ζ ( m) π 2 n with m odd. The existence of … 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 …
On multiple zeta values of level two
Did you know?
Web23 de dez. de 2011 · Regularized motivic multiple zeta values are very natural generalization of usual motivic multiple zeta values and used in various situations 1 , however, there seems to be no work on their ... Web9 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 …
WebMultiple zeta functions are known to satisfy what is known as MZV duality, the simplest case of which is the famous identity of Euler : where Hn are the harmonic numbers . Special values of double zeta functions, with s > 0 and even, t > 1 and odd, but s + t = 2 N +1 (taking if necessary ζ (0) = 0): [4] Web14 de nov. de 2024 · In this paper, we define and study a variant of multiple zeta values (MZVs) of level two, called multiple mixed values or multiple M-values (MMVs), which forms a subspace of the space of alternating MZVs. This variant includes both Hoffman’s multiple t-values and Kaneko–Tsumura’s multiple T-values as special cases. We set …
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 … 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 …
Webinteresting part is about multiple zeta and alternating multiple zeta values, so I will establish notation for them rst. For positive integers i 1;:::; k with 1 >1, the corresponding multiple zeta value is the real number (i 1;i 2;:::;i k) = X n1>n2> >n k 1 1 ni1 1 n i2 2 n i k k: This can be generalized to alternating multiple zeta values with ...
WebThe 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 … camouflage t-shirts cheapWebWe 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 … camouflage t shirt vinylWebWe 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 … camouflage t shirts online indiacamouflage t-shirts for womenWebWe 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 … camouflage t shirts womenWeb1 de ago. de 2024 · Finite colored multiple zeta values We recall that finite MZVs and finite Euler sums are elements of the Q -ring A: = ∏ p ∈ P F p / ⨁ p ∈ P F p. Note that for N = 1, 2, the set A can be identified with A ( N) since all primes greater than 2 are odd and we can safely disregard the prime p = 2. In the rest of this section, we assume N = 3, 4 or 6. first shampoo in indiaWeb17 de abr. 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 … first shaolin temple in us