Can I read Sum of Interpolated Multiple $Q$-zeta Values on EtoBox?

Sum of Interpolated Multiple $Q$-zeta Values by Li, Zhonghua; Wakabayashi, Noriko is a scholarly article available to read on EtoBox.

What is Sum of Interpolated Multiple $Q$-zeta Values about?

Interpolated multiple $q$-zeta values are deformation of multiple $q$-zeta values with one parameter, $t$, and restore classical multiple zeta values as $t = 0$ and $q \to 1$. In this paper, we discuss generating functions for sum of interpolated multiple $q$-zeta values with fixed weight, depth and $i$-height. The functions are systematically expressed in terms of the basic hypergeometric functions. Compared with the result of Ohno and Zagier, our result includes three generalizations: general height, $q$-deformation and $t$-interpolation. As an application, we prove some expected relations for interpolated multiple $q$-zeta values including sum formulas.

Author

Li, Zhonghua; Wakabayashi, Noriko

Published

2017

Language

EN