Small Prime Primitive Roots in Arithmetic Progressions

2025/09/07 by Carella, N. A.
#11N05 #FOS: Mathematics #General Mathematics (math.GM) #Primary 11A07 #Secondary 11N32

paper · doi:10.48550/arxiv.2509.19309

Abstract

Let p>1 be a large prime number, let q=O(loglog p) and let 1≤ a

Citations

• Estimates of Some Functions Over Primes without R.H.
• On a Problem of Mordell with Primitive Roots
• New estimates of double trigonometric sums with exponential functions

Related

• Small Prime kth Power Residues and Nonresidues in Arithmetic Progressions
• Primitive Roots In Short Intervals
• Primitive Root Conjecture in Arithmetic Progressions
• Topics In Primitive Roots
• Prescribed Primitive Roots And The Least Primes