3 papers
math.NT2021
On the Newton polygons of twisted -functions of binomials
Shenxing Zhang
Let be an order multiplicative character of a finite field and a binomial with . We study the twisted classical and -adic Newton polygons of …
math.NT2020
The virtual periods of linear recurrence sequences in cyclotomic fields
Shenxing Zhang
A linear recurrence sequence in a cyclotomic field produces a sequence of the generating fields of each term. We show that the later sequence is periodic after removing the first f…
math.NT2012
On non-congruent numbers with 1 modulo 4 prime factors
Yi Ouyang, Shenxing Zhang
In this paper, we use the 2-decent method to find a series of odd non-congruent numbers whose prime factors are such that the congruent elliptic cu…