On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution

Yifan Chen; Quan Shi; Huaiqing Zuo

On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution

Algebraic Geometry 2024-12-10 v1

Authors: Yifan Chen , Quan Shi , Huaiqing Zuo

Abstract

We provide the formula of motivic zeta function for semi-quasihomogeneous singularities and in dimension two, we determine the poles of zeta functions. We also give another formula for stringy E-function using embedded $\mathbb{Q}$ -resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate polynomials.

Keywords

zeta functions zeta values and euler sums multiple zeta values

Cite

@article{arxiv.2412.06561,
  title  = {On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution},
  author = {Yifan Chen and Quan Shi and Huaiqing Zuo},
  journal= {arXiv preprint arXiv:2412.06561},
  year   = {2024}
}

Comments

19 pages

Related papers

View all related →