Rufei Ren

activity

20162026

most citedSlopes for higher rank Artin-Schreier-Witt Towers

17 citations · 23 across the 11 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 3 cited

Generic Newton polygon for exponential sums in $n$ variables with parallelotope base

Rufei Ren

Let $p$ be a prime number. Every $n$ -variable polynomial $f (x)$ over a finite field of characteristic $p$ defines an Artin--Schreier--Witt tower of varieties whose Galoi…

math.NT2017

Newton slopes for twisted Artin--Schreier--Witt Towers

Rufei Ren

We fix a monic polynomial $f (x) \in F_{q} [x]$ over a finite field of characteristic $p$ of degree relatively prime to $p$ . Let $a \mapsto ω (a)$ be the Teichmüller lift of $\ma…

math.NT2017

Generic Newton polygon for exponential sums in two variables with triangular base

Rufei Ren

Let $p$ be a prime number. Every two-variable polynomial $f (x_{1}, x_{2})$ over a finite field of characteristic $p$ defines an Artin--Schreier--Witt tower of surfaces whose Galois gro…

Generic Newton polygon for exponential sums in n variables with parallelotope base

Newton slopes for twisted Artin--Schreier--Witt Towers

Generic Newton polygon for exponential sums in two variables with triangular base

Generic Newton polygon for exponential sums in $n$ variables with parallelotope base