Configurations Of Consecutive Primitive Roots

2019/10/05 by Carella, N. A.
#FOS: Mathematics #General Mathematics (math.GM) #Primary 11A07 #Secondary 11N37

paper · doi:10.48550/arxiv.1910.02308

Abstract

Let p ≥ 2 be a large prime, and let k ≪ log p be a small integer. This note proves the existence of various configurations of (k+1)-tuples of consecutive and quasi consecutive primitive roots n+a₀, n+a₁, n+a₂, …, n+a_k in the finite field \mathbbF_p, where a₀,a₁, …, a_k is a fixed (k+1)-tuples of distinct integers.

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