scholarly journals Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values

2019 ◽  
Vol 2019 (11) ◽  
Author(s):  
Michael B. Green ◽  
Congkao Wen
Keyword(s):  
Multiple Zeta Values ◽  
Hankel Determinants ◽  
Multiple Zeta ◽  
Zeta Values

Motivic multiple zeta values relative to μ2

2020 ◽  
Vol 14 (10) ◽  
pp. 2685-2712
Author(s):  
Zhongyu Jin ◽  
Jiangtao Li
Keyword(s):  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values

scholarly journals ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

2015 ◽  
Vol 93 (2) ◽  
pp. 186-193 ◽  
Author(s):  
MASANOBU KANEKO ◽  
MIKA SAKATA
Keyword(s):  
Explicit Formula ◽  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Maximal Height ◽  
Zeta Values ◽  
Sum Formula

We give three identities involving multiple zeta values of height one and of maximal height: an explicit formula for the height-one multiple zeta values, a regularised sum formula and a sum formula for the multiple zeta values of maximal height.

scholarly journals Truncated t-adic symmetric multiple zeta values and double shuffle relations

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Masataka Ono ◽  
Shin-ichiro Seki ◽  
Shuji Yamamoto
Keyword(s):  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values

scholarly journals Double tails of multiple zeta values

2017 ◽  
Vol 170 ◽  
pp. 228-249 ◽  
Author(s):  
P. Akhilesh
Keyword(s):  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values

scholarly journals On multiple zeta values and finite multiple zeta values of maximal height

2018 ◽  
Vol 14 (04) ◽  
pp. 975-987
Author(s):  
Hideki Murahara ◽  
Mika Sakata
Keyword(s):  
Explicit Formula ◽  
Alternative Proof ◽  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Maximal Height ◽  
Zeta Values

An explicit formula for the height-one multiple zeta values (MZVs) was proved by Kaneko and the second author. We give an alternative proof of this result and its generalization. We also prove its counterpart for the finite multiple zeta values (FMZVs).

scholarly journals Nested Sums of Symbols and Renormalized Multiple Zeta Values

2010 ◽  
Vol 2010 (24) ◽  
pp. 4628-4697 ◽  
Author(s):  
Dominique Manchon ◽  
Sylvie Paycha
Keyword(s):  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values

scholarly journals ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE

2017 ◽  
Vol 5 ◽  
Author(s):  
FRANCIS BROWN
Keyword(s):  
Lie Algebra ◽  
Modular Forms ◽  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values ◽  
Explicit Formulae ◽  
Tate Curve ◽  
Tate Motives

This paper draws connections between the double shuffle equations and structure of associators; Hain and Matsumoto’s universal mixed elliptic motives; and the Rankin–Selberg method for modular forms for $\text{SL}_{2}(\mathbb{Z})$. We write down explicit formulae for zeta elements $\unicode[STIX]{x1D70E}_{2n-1}$ (generators of the Tannaka Lie algebra of the category of mixed Tate motives over $\mathbb{Z}$) in depths up to four, give applications to the Broadhurst–Kreimer conjecture, and solve the double shuffle equations for multiple zeta values in depths two and three.

scholarly journals ANALOGUES OF THE AOKI–OHNO AND LE–MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUES

2018 ◽  
Vol 100 (1) ◽  
pp. 34-40
Author(s):  
MASANOBU KANEKO ◽  
KOJIRO OYAMA ◽  
SHINGO SAITO
Keyword(s):  
Explicit Form ◽  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Generating Series ◽  
Zeta Values

We establish finite analogues of the identities known as the Aoki–Ohno relation and the Le–Murakami relation in the theory of multiple zeta values. We use an explicit form of a generating series given by Aoki and Ohno.

scholarly journals On the duality and the derivation relations for multiple zeta values

2018 ◽  
Vol 47 (3) ◽  
pp. 651-658
Author(s):  
Naho Kawasaki ◽  
Tatsushi Tanaka
Keyword(s):  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Zeta Values
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