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Zhongyan Shen

3 papers hereh-index 480 citations28 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author2
  • last author1

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.NT3
same name
  • Zhongyan Shen — 1 paper

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

most citedSuper congruences involving alternating harmonic sums modulo prime powers

2 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2017★ 2 cited

Arithmetic properties of polynomials

Yong Zhang, Zhongyan Shen

In this paper, first, we prove that the Diophantine system \[f(z)=f(x)+f(y)=f(u)-f(v)=f(p)f(q)\] has infinitely many integer solutions for f(X)=X(X+a) with nonzero integers $a\eq…

math.NT2015★ 2 cited

Super congruences involving alternating harmonic sums modulo prime powers

Zhongyan Shen, Tianxin Cai

In 2014, Wang and Cai established the following harmonic congruence for any odd prime p and positive integer r, \begin{equation*} \sum\limits_{i+j+k=p^{r}\atop{i,j,k\in \mathca…

math.NT2015★ 1 cited

A congruence involving alternating harmonic sums modulo pαqβ

Zhongyan Shen, Tianxin Cai

In 2014, Wang and Cai established the following harmonic congruence for any odd prime p and positive integer r, \begin{equation*} \sum\limits_{i+j+k=p^{r}\atop{i,j,k\in \mathca…

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