Shenxing Zhang

activity

20122026

most cited

ℓ

-Class groups of fields in Kummer towers

10 citations · 11 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

On non-congruent numbers with $8 a \pm 1$ type odd prime factors and tame kernels

Shenxing Zhang

Let $n$ be a positive square-free integer, where every odd prime factor of $n$ has form $8 a \pm 1$ . We determine when $n$ is non-congruent with second minimal $2$ -primary Shafarevic…

math.NT2021

On the Newton polygons of twisted $L$ -functions of binomials

Shenxing Zhang

Let $χ$ be an order $c$ multiplicative character of a finite field and $f (x) = x^{d} + λ x^{e}$ a binomial with $(d, e) = 1$ . We study the twisted classical and $T$ -adic Newton polygons of $f$ …

On non-congruent numbers with 8a±1 type odd prime factors and tame kernels

On the Newton polygons of twisted L-functions of binomials

On non-congruent numbers with $8 a \pm 1$ type odd prime factors and tame kernels

On the Newton polygons of twisted $L$ -functions of binomials