Some Theorems About pr (n)

Abstract

If n is a non-negative integer, define p_r(n) as the coefficient of xⁿ in ;otherwise define p_r(n) as 0. In a recent paper (1) the author has proved that if r has any of the values 2, 4, 6, 8, 10, 14, 26 and p is a prime > 3 such that r(p + 1) ≡ 0 (mod 24), then 1 , ,where n is an arbitrary integer.