Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values
Sign Up to like & getrecommendations! 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… read more here.
Keywords: superstring amplitudes; zeta values; multiple zeta; unitarily hankel ... See more keywords
Variants of multiple zeta values with even and odd summation indices
Sign Up to like & getrecommendations! 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… read more here.
Keywords: kaneko tsumura; zeta values; multiple zeta; multiple values ... See more keywords
Iterated integrals on P1∖{0,1,∞,z} and a class of relations among multiple zeta values
Sign Up to like & getrecommendations! 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… read more here.
Keywords: zeta values; multiple zeta; relations among; iterated integrals ... See more keywords
Some alternating sums of multiple zeta values of height one
Sign Up to like & getrecommendations! 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… read more here.
Keywords: zeta; sums multiple; zeta values; multiple zeta ... See more keywords
ON A GENERALISATION OF A RESTRICTED SUM FORMULA FOR MULTIPLE ZETA VALUES AND FINITE MULTIPLE ZETA VALUES
Sign Up to like & getrecommendations! 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… read more here.
Keywords: zeta values; multiple zeta; restricted sum; generalisation restricted ... See more keywords
On identities for zeta values in Tate algebras
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DOI: 10.1090/tran/8357
Abstract: Zeta values in Tate algebras were introduced by Pellarin in 2012. They are generalizations of Carlitz's zeta values and play an increasingly important role in function field arithmetic. In this paper, we prove a conjecture… read more here.
Keywords: identities zeta; values tate; tate algebras; zeta values ... See more keywords