Computing Igusa's Local Zeta Functions of Univariate Polynomials, and Linear Feedback Shift Registers
<|reference_start|>Computing Igusa's Local Zeta Functions of Univariate Polynomials, and Linear Feedback Shift Registers: We give a polynomial time algorithm for computing the Igusa local zeta function $Z(s,f)$ attached to a polynomial $f(x)\in \QTR{Bbb}{Z}[x]$, in one variable, with splitting field $\QTR{Bbb}{Q}$, and a prime number $p$. We also propose a new class of Linear Feedback Shift Registers based on the computation of Igusa's local zeta function.<|reference_end|>
@article{zuniga-galindo2003computing,
    title={Computing Igusa's Local Zeta Functions of Univariate Polynomials, and
  Linear Feedback Shift Registers},
    author={W. A. Zuniga-Galindo},
    journal={arXiv preprint arXiv:cs/0309050},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0309050},
    primaryClass={cs.SC cs.CR}
}