5 papers
Bounds for Mertens Sums
Samuel Broadbent, Andrew Fiori, Habiba Kadiri +2
In this article we provide new bounds for the Mertens sums and products including and which provide superior exponential a…
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…
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…
Comparative Prime Number Theory Problem List
Alia Hamieh, Habiba Kadiri, Greg Martin +1
This is a list of problems that were collected from participants at the Comparative Prime Number Theory Symposium held at UBC from June 17 to June 21, 2024. Its goal is to stimulat…
Moments of -functions Problem List
Alia Hamieh, Habiba Kadiri, Nathan Ng +1
This is an ongoing list of problems that has resulted from the PIMS (Pacific Institute of Mathematical Sciences) Collaborative Research Group L-functions in Analytic Number Theory:…