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Zhi-Wei Sun's user avatar
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Zhi-Wei Sun
  • Member for 7 years, 10 months
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I mainly work in the field of combinatorial number theory.

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56
A mysterious connection between primes and $\pi$
Dec 16, 2019
38
How to prove the identity $L(2,(\frac{\cdot}3))=\frac2{15}\sum\limits_{k=1}^\infty\frac{48^k}{k(2k-1)\binom{4k}{2k}\binom{2k}k}$?
Jun 17, 2018
35
Question on a generalisation of a theorem by Euler
Jun 21, 2018
35
Can we write each positive rational number as $\frac1{p_1-1}+\ldots+\frac1{p_k-1}$ with $p_1,\ldots,p_k$ distinct primes?
Nov 29, 2018
33
A conjectural trigonometric identity
Aug 1, 2019
32
Is it true that $\left\{\frac{\sigma(n)}{\varphi(n)}:\ n\in\mathbb{Z}_{\geq 1}\right\}=\{r\in\mathbb Q:\ r\ge1\}$?
Aug 8, 2024
29
Prove that $\sum_{n = 1}^{p - 1} n^{p - 1} \equiv (p - 1)! + p \pmod {p^2}$ with $p$ being an odd prime
Dec 31, 2018
24
A mysterious recurrence for primes
Oct 13, 2025
22
Permutations $\pi\in S_n$ with $\sum_{k=1}^n\frac1{k+\pi(k)}=1$
Nov 19, 2018
22
Does $A-A=\mathbb Q$ hold for $A=\{x^4+y^4:\ x,y\in\mathbb Q\}$?
Feb 7, 2022