多重斐波那契函数的解析延拓

Pub Date : 2018-06-01 DOI:10.3792/PJAA.94.64

S. S. Rout, N. K. Meher

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引用次数: 6

摘要

在本文中，我们证明了深度为2的多个Fibonacci zeta函数的亚纯延拓，其中fn是第n个Fibonacci数，Re ð s 1 Þ > 0, Re ð s 2 Þ > 0。我们计算了它的极点及其残数的完整列表。我们也证明了多个Fibonacci zeta值在负整数参数上是有理数。

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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Analytic continuation of the multiple Fibonacci zeta functions

: In this article, we prove the meromorphic continuation of the multiple Fibonacci zeta functions of depth 2: where F n is the n -th Fibonacci number, Re ð s 1 Þ > 0 and Re ð s 2 Þ > 0 . We compute a complete list of its poles and their residues. We also prove that multiple Fibonacci zeta values at negative integer arguments are rational.

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