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math.NT2025
An effective version of Chebotarev's density theorem
Sourabhashis Das, Habiba Kadiri, Nathan Ng
Chebotarev's density theorem asserts that the prime ideals are equidistributed among the conjugacy classes of the Galois group of any normal extension of number fields. An effectiv…
math.NT2025
Prime Number Error Terms
Nathan Ng
In 1980 Montgomery made a conjecture about the true order of the error term in the prime number theorem. In 2012 the author made an analogous conjecture for the true order of the s…