# Special values of generalized multiple Hurwitz zeta function at   non-positive integers

**Authors:** Sadaoui Boualem

arXiv: 1902.06763 · 2019-02-20

## TL;DR

This paper introduces a new method using Raabe's formula and Bernoulli numbers to evaluate the generalized multiple Hurwitz zeta function at non-positive integers.

## Contribution

It presents an alternative approach for calculating these special values, expanding the computational techniques for zeta functions.

## Key findings

- Derived explicit formulas for the zeta function at non-positive integers.
- Demonstrated the effectiveness of Raabe's formula in this context.
- Connected Bernoulli numbers to the evaluation process.

## Abstract

In this paper, we provide an alternative method to calculate the values of generalized multiple Hurwitz zeta function at non-positive integers by means of \emph{Raabe}'s formula and the \textit{Bernoulli} numbers.

## Full text

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## References

17 references — full list in the complete paper: https://tomesphere.com/paper/1902.06763/full.md

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Source: https://tomesphere.com/paper/1902.06763