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20232026
most citedComparative Prime Number Theory Problem List

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.NT2026

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…

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…

math.NT2024★ 1 cited

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…

math.NT2024

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:…

math.NT2023

Mean values of long Dirichlet polynomials with divisor coefficients

Fatma Cicek, Alia Hamieh, Nathan Ng

In this article, we prove an asymptotic formula for the mean value of long smoothed Dirichlet polynomials with divisor coefficients. Our result has a main term that includes all lo…