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math.NT2018★ 10 cited
Chebyshev's bias for products of irreducible polynomials
Lucile Devin, Xianchang Meng
For any , this paper studies the number of polynomials having irreducible factors (counted with or without multiplicities) in among different arithme…
math.NT2018
Summatory function of the number of prime factors
Xianchang Meng
We consider the summatory function of the number of prime factors for integers over arithmetic progressions. Numerical experiments suggest that some arithmetic progression…