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math.NT2025
Counting primes with a given primitive root, uniformly
Steve Fan, Paul Pollack
The celebrated Artin conjecture on primitive roots asserts that given any integer which is neither nor a perfect square, there is an explicit constant such that t…
math.NT2024
The shifted prime-divisor function over shifted primes
Steve Fan
Let . For every , denote by the number of shifted-prime divisors of , where is prime. In this paper, we st…