10 citations · 10 across the 5 of their papers we have counts for
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Generic exponential sums associated to Laurent polynomials in one variable
Chunlei Liu
Generic Newton polygons for L-functions of exponential sums associated to Laurent polynomials in one variable are determined. The corresponding Hasse polynomials are also determine…
Arithmetic progressions of primes in short intervals
Chunlei Liu
Green and Tao proved that the primes contains arbitrarily long arithmetic progressions. We show that, essentially the same proof leads to the following result: The primes in an sho…
Sublattices of finite index
Chunlei Liu
Assuming the Gowers Inverse conjecture and the Möbius conjecture for the finite parameter , Green-Tao verified Dickson's conjecture for lattices which are ranges of linear maps…
The L-functions of twisted Witt extensions
Chunlei Liu
The L-function of a non-degenerate twisted Witt extension is proved to be a polynomial. Its Newton polygon is proved to lie above the Hodge polygon of that extension. And the Newto…
The -functions of Witt coverings
Chunlei Liu, Dasheng Wei
Results on -functions of Artin-Schreier coverings by Dwork, Bombieri and Adolphson-Sperber are generalized to -functions of Witt coverings.