Chunlin Wang

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20062021

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math.NT2021

Distribution of residues of an algebraic number modulo ideals of degree one

Chunlin Wang

Let $f (x)$ be an irreducible polynomial with integer coefficients of degree at least two. Hooley proved that the roots of the congruence equation $f (x) \equiv 0 mod n$ is uniformly…

math.NT2021

Newton polygons for $L$ -functions of generalized Kloosterman sums

Chunlin Wang, Liping Yang

In this paper, we study the Newton polygons for the $L$ -functions of $n$ -variable generalized Kloosterman sums. Generally, the Newton polygon has a topological lower bound, called…

math.NT2020

$L$ -functions for families of generalized Kloosterman sums and $p$ -adic differential equations

Chunlin Wang, Liping Yang

In this paper, we focus on a family of generalized Kloosterman sums over the torus. With a few changes to Haessig and Sperber's construction, we derive some relative $p$ -adic cohom…

Distribution of residues of an algebraic number modulo ideals of degree one

Newton polygons for L-functions of generalized Kloosterman sums

L-functions for families of generalized Kloosterman sums and p-adic differential equations

Newton polygons for $L$ -functions of generalized Kloosterman sums

$L$ -functions for families of generalized Kloosterman sums and $p$ -adic differential equations