On multiple zeta values of level two

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August undefined, 2024

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 … 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 …

Double zeta values, double Eisenstein series, and modular forms of level 2

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 … 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 … phone number assistance

On a variant of multiple zeta values of level two - ResearchGate

Web1.2. Multiple zeta values. Now consider the product of two zeta values, (k) (l) = X m;n>0 1 mknl: Splitting the domain into three parts, Euler observed that (k) (l) = X m>n>0 + X … 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 … phone number aspca

On multiple zeta values of level two - Project Euclid

Web7 de mai. de 2024 · The second author wishes to express his thanks to Herbert Gangl for drawing his attention to Yamamoto’s {1 \over 2} -interpolated multiple zeta values. The second author also thanks Max Planck Institute for Mathematics, where the paper was written, for the invitation and hospitality. 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 … how do you pronounce gayatriWeb17 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 regarded as the `shuffle counterpart' of Hoffman's `odd variant', exhibits nice properties such as duality, shuffle product, parity results, etc., like how do you pronounce gayle

"Web2 M. RAM MURTY AND KANEENIKA SINHA This Hurwitz zeta function, originally deﬁned for Re(s) > 1, can also be ex-tended analytically for all s ∈ C, apart from s =1, where it has a simple pole with residue 1. In his study of ζ(s;x), Hurwitz was motivated by the problem of analytic continution of Dirichlet L-functions.For any Dirichlet character χ (mod q), we may … " - On multiple zeta values of level two

On multiple zeta values of level two

Finite and symmetrized colored multiple zeta values

Web1 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. Weba level 2 multiple zeta value because of the congruence condition in the summation and of the (easily proved) fact that this value can be written as a linear combination of …

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Web10 de ago. de 2024 · M. Kaneko and H. Tsumura, Zeta functions connecting multiple zeta values and poly-Bernoulli numbers, Adv. Stud. Pure Math. 84, 2024, pp. 181-204. … WebAbstract. We prove that any multiple t-value of maximal height (that is, all components of the index are greater than 1) can be written as a rational linear combination of multiple …

http://www-personal.umich.edu/~francc/files/zeta_talk.pdf Web17 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 …

Web1 de jan. de 2013 · Introduction and main results Double zeta values of level 2 are deï¬ ned by Î¶ o(r, s)= âˆ‘ m>n>0 m,n:odd 1 mrns , (1) here r, s are positive integers with r 2. … WebAbstract. 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 …

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 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). phone number associated with emailWebWe 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 … how do you pronounce gawainWeb2. Open-string tree-level amplitudes Open-string amplitudes at tree-level are obtained from correlators on a genus-zero Riemann ... 1gexclusively, which in turn can be cast into multiple zeta values using eq. (2.5). As an example, the string correction to the ﬁve-point amplitude2 for the trivial permutation reads F23 =1 z(2)(s 12s 23 +s 12s ... how do you pronounce geddesWebON MULTIPLE ZETA VALUES OF LEVEL TWO MASANOBU KANEKO AND HIROFUMI TSUMURA Abstract. We study a variant of multiple zeta values of level 2, which forms … how do you pronounce gealWebWe 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 … how do you pronounce gayWeb1 de jan. de 2013 · Introduction and main results Double zeta values of level 2 are deï¬ ned by Î¶ o(r, s)= âˆ‘ 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 … phone number at\\u0026tWebMultiple 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] phone number at\u0026t