Masaq Index
arXiv 2009-04-07 0 views

Some curious congruences modulo primes

Zhao, Li-Lu · Sun, Zhi-Wei

Original · EN

Let n be a positive odd integer and let p>n+1 be a prime. We mainly derive the following congruence: ∑₀<ᵢ₁<...<ᵢₙ<ₚ(i₁/3)(-1)ⁱ¹/(i₁...iₙ)=0 (mod p).

English translation

This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.

Security check

Type the characters above

Up to 10 translations per person per day.