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math.NT2020
Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples
Stephan Ramon Garcia, Gabe Udell, Jiahui Yu
Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This…
math.NT2019
Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function
Stephan Ramon Garcia, Florian Luca, Kye Shi +1
Garcia, Kahoro, and Luca showed that the Bateman-Horn conjecture implies for a majority of twin-primes pairs and that the reverse inequality holds for…