Liping Yang

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math.NT2024

Unit roots of the unit root $L$ -functions

Liping Yang, Hao Zhang

Adolphson and Sperber characterized the unique unit root of $L$ -function associated with toric exponential sums in terms of the $A$ -hypergeometric functions. For the unit…

math.NT2023

Unit roots of the unit root $L$ -functions of Kloosterman family

Liping Yang, Hao Zhang

As a consequence of Wan's theorem about Dwork's conjecture, the unit root $L$ -functions of the $n$ -dimensional Kloosterman family are $p$ -adic meromorphic. By studying the symmetri…

math.NT2021

Generic Newton polygons for $L$ -functions of $(A, B)$ -exponential sums

Liping Yang, Hao Zhang

In this paper, we consider the following $(A, B)$ -polynomial $f$ over finite field: $f (x_{0}, x_{1}, \dots, x_{n}) = x_{0}^{A} h (x_{1}, \dots, x_{n}) + g (x_{1}, \dots, x_{n}) + P_{B} (1/ x_{0}),$ where $h$ is a De…

Unit roots of the unit root L-functions

Unit roots of the unit root L-functions of Kloosterman family

Generic Newton polygons for L-functions of (A,B)-exponential sums

Unit roots of the unit root $L$ -functions

Unit roots of the unit root $L$ -functions of Kloosterman family

Generic Newton polygons for $L$ -functions of $(A, B)$ -exponential sums