有限多个ζ值，多个ζ函数和多个伯努利多项式

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2018-11-26 DOI:10.2206/KYUSHUJM.72.333

Y. Komori, 小森靖, ヤスシコモリ

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引用次数: 1

摘要

通过引入与有限多个ζ值相关的伯努利多项式的多重推广，我们给出了所有有限多个zeta值的显式公式。此外，我们还证明了这些值也可以用多个ζ函数的特殊值和赫尔维茨ζ函数中的多个恒星类似物来描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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FINITE MULTIPLE ZETA VALUES, MULTIPLE ZETA FUNCTIONS AND MULTIPLE BERNOULLI POLYNOMIALS

We present explicit formulas for all finite multiple zeta values by introducing a multiple generalization of Bernoulli polynomials associated with finite multiple zeta values. Furthermore we show that these values are also described by special values of multiple zeta functions and multiple star analogues of the Hurwitz zeta function.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.