生成多项式和多个zeta值的函数

IF 0.4 4区数学 Q4 MATHEMATICS

Tohoku Mathematical Journal Pub Date : 2020-11-09 DOI:10.2748/tmj.20210409

M. Hirose, H. Murahara, Shingo Saito

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引用次数: 2

摘要

多个zeta(-star)值和对称多个zeta(-star)值的和公式具有惊人的相似之处。我们用一个涉及舒尔多重泽塔值的恒等式以一种相当直接的方式解释这种相似性。我们还从生成函数的角度得到了多项式多个zeta(-星)值的和公式，同时推广了多个zeta(-星)值和对称多个zeta(-星)值的和公式。

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Generating functions for sums of polynomial multiple zeta values

The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manner using an identity that involves the Schur multiple zeta values. We also obtain the sum formula for polynomial multiple zeta(-star) values in terms of generating functions, simultaneously generalizing the sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values.

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