6 citations · 7 across the 7 of their papers we have counts for
9 papers · 1 filter
Explicit Exponential Sum Estimates and Approximate Functional Equations for the Zeta Function
Natasha Dhiman, Habiba Kadiri, Emily Quesada-Herrera
We show an explicit version of the Van der Corput truncated Poisson summation formula (B-process). By using refined explicit exponential sum estimates, this improves the error term…
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…
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:…
Explicit zero density for the Riemann zeta function
Habiba Kadiri, Allysa Lumley, Nathan Ng
Let denote the number of nontrivial zeros of the Riemann zeta function with real part greater than and imaginary part between and . We provide explicit upper bo…