On some special Legendre sums of the form

Abstract

We prove that sums of the form with f(X), g(X) ∈ ℤ[X] can be explicitly computed whenever f and g are subject to some certain conditions which are defined in the paper.

Keywords

• legendre sums
• elementary number theory
• computable
• primary 11a07
• 11a15
• secondary 11c08
• 11c20