And we can also do multiplication modulo N. Now suppose that N is a prime number. Then we have the following remarkable fact: Raising any number to the N th power modulo N, we get back that same ...

This paper studies Menon-type identities involving both multiplicative characters and additive characters. In the paper, we shall give the explicit formula of the following sum ∑ a ∈ ℤ k b 1 , ∈ , b k ...