A New Shuffle Convolution for Multiple Zeta Values

Yee, Ae Ja

doi:10.1007/s10801-005-6280-y

J Algebr Comb

2005

DOI: 10.1007/s10801-005-6280-y

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A New Shuffle Convolution for Multiple Zeta Values

Ae Ja Yee

Abstract: Recently, interest in shuffle algebra has been renewed due to their connections with multiple zeta values. In this paper, we prove a new shuffle convolution that implies a reduction formula for the multiple zeta value ζ ({5, 1} n ).

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2018

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Checkerboard style Schur multiple zeta values and odd single zeta values

Bachmann

Yamasaki

2018

Math. Z.

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We give explicit formulas for the recently introduced Schur multiple zeta values, which generalize multiple zeta(-star) values and which assign to a Young tableaux a real number. In this note we consider Young tableaux of various shapes, filled with alternating entries like a Checkerboard. In particular we obtain new sum representation for odd single zeta values in terms of these Schur multiple zeta values. As a special case we show that some Schur multiple zeta values of Checkerboard style, filled with 1 and 3, are given by determinants of matrices with odd single zeta values as entries.2010 Mathematics Subject Classification : 11M41, 05E05, 33C05.

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Checkerboard style Schur multiple zeta values and odd single zeta values

Bachmann

Yamasaki

2018

Math. Z.

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A New Shuffle Convolution for Multiple Zeta Values

Abstract: Recently, interest in shuffle algebra has been renewed due to their connections with multiple zeta values. In this paper, we prove a new shuffle convolution that implies a reduction formula for the multiple zeta value ζ ({5, 1} n ).

Cited by 1 publication

References 13 publications

Checkerboard style Schur multiple zeta values and odd single zeta values

Checkerboard style Schur multiple zeta values and odd single zeta values

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