Zeros of Witten zeta functions and absolute limit

TL;DR

This paper explores the zeros of Witten zeta functions, introducing multiple L-functions, analyzing their properties, and providing evidence for a universal zero at -2, while also examining their absolute limits.

Contribution

It introduces new L-functions for Witten zeta functions and investigates their zeros and limits, revealing potential universal zeros at negative integers.

Findings

Evidence for a universal zero at -2

Introduction of multiple L-functions for Witten zeta functions

Analysis of algebraic and analytic properties of these functions

Abstract

We introduce multiple versions of L-functions for Witten zeta functions. We study their algebraic and analytic properties. Especially we investigate the existence of zeros at negative integers. These results strongly suggest the universal zero at -2. We look at their absolute limits also.