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Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2019)079
Abstract: Abstract The interplay of unitarity and analyticity has long been known to impose strong constraints on scattering amplitudes in quantum field theory and string theory. This has been highlighted in recent times in a number…
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Keywords:
superstring amplitudes;
zeta values;
multiple zeta;
unitarily hankel ... See more keywords
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Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0911-0
Abstract: The purpose of this paper is the presentation of an identity which is closely related to the sum relation involving multiple zeta star values with even arguments. Let $$E^{\star }(m,n,k)$$E⋆(m,n,k) be the sum of all…
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Keywords:
star values;
values even;
multiple zeta;
zeta star ... See more keywords
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Published in 2021 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02889-2
Abstract: In this paper, we define and study a variant of multiple zeta values of level 2 (which is called multiple mixed values or multiple $M$-values, MMVs for short), which forms a subspace of the space…
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Keywords:
kaneko tsumura;
zeta values;
multiple zeta;
multiple values ... See more keywords
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Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.03.005
Abstract: Abstract In this paper we consider iterated integrals on P 1 ∖ { 0 , 1 , ∞ , z } and define a class of Q -linear relations among them, which arises from the…
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Keywords:
zeta values;
multiple zeta;
relations among;
iterated integrals ... See more keywords
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Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.124957
Abstract: Abstract In this paper, we construct several double sequences arising from double integrals which can be interpreted as alternating sums of multiple zeta values. The aim of the article is based on generating functions and…
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Keywords:
zeta;
sums multiple;
zeta values;
multiple zeta ... See more keywords
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Published in 2019 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972719000790
Abstract: We prove a new linear relation for multiple zeta values. This is a natural generalisation of the restricted sum formula proved by Eie, Liaw and Ong. We also present an analogous result for finite multiple…
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Keywords:
zeta values;
multiple zeta;
restricted sum;
generalisation restricted ... See more keywords