Zhi-Wei Sun

activity

20082013

most citedOn sums of primes and triangular numbers

17 citations · 36 across the 8 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.NT2009★ 6 cited

Fibonacci numbers modulo cubes of primes

Zhi-Wei Sun

Let $p$ be an odd prime. It is well known that $F_{p - (\frac{p}{5})} \equiv 0 (mod p)$ , where ${F_{n}}_{n \geq 0}$ is the Fibonacci sequence and $(-)$ is the Jacobi symbol. In this paper w…

math.NT2009★ 4 cited

Some curious congruences modulo primes

Li-Lu Zhao, Zhi-Wei Sun

Let n be a positive odd integer and let p>n+1 be a prime. We mainly derive the following congruence: $0 < i_{1} < ... < i_{n} < p \sum (i_{1} /3) (- 1)^{i_{1}} / (i_{1} ... i_{n}) = 0 (m o d p) .$