Zhi-Wei Sun

activity

20032026

most citedSuper congruences and Euler numbers

127 citations · 565 across the 184 of their papers we have counts for

collaborators

Showing 2017 · math.NTShow all

4 papers · 2 filters

math.NT2017★ 3 cited

On the 1-3-5 conjecture and related topics

Hai-Liang Wu, Zhi-Wei Sun

The 1-3-5 conjecture of Z.-W. Sun states that any $n \in N = {0, 1, 2, \dots}$ can be written as $x^{2} + y^{2} + z^{2} + w^{2}$ with $w, x, y, z \in N$ such that $x + 3 y + 5 z$ is a square. I…

math.NT2017★ 1 cited

Some universal quadratic sums over the integers

Hai-Liang Wu, Zhi-Wei Sun

Let $a, b, c, d, e, f \in N$ with $a \geq c \geq e > 0$ , $b \leq a$ and $b \equiv a (mod 2)$ , $d \leq c$ and $d \equiv c (mod 2)$ , $f \leq e$ and $f \equiv e (mod 2)$ . If any nonnegative integer can b…

math.NT2017★ 5 cited

Further results on Hilbert's Tenth Problem

Zhi-Wei Sun

Hilbert's Tenth Problem (HTP) asks for an algorithm to test whether an arbitrary polynomial Diophantine equation with integer coefficients has solutions over the ring $Z$ o…

math.NT2017★ 2 cited

Restricted sums of four squares

Zhi-Wei Sun

We refine Lagrange's four-square theorem in new ways by imposing some restrictions involving powers of two (including $1$ ). For example, we show that each $n = 1, 2, 3, \dots$ can be w…