59 citations · 189 across the 27 of their papers we have counts for
23 papers · 1 filter
Shifted moments of the Riemann zeta function
Nathan Ng, Quanli Shen, Peng-Jie Wong
In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concern…
The eighth moment of the Riemann zeta function
Nathan Ng, Quanli Shen, Peng-Jie Wong
In this article, we establish an asymptotic formula for the eighth moment of the Riemann zeta function, assuming the Riemann hypothesis and a quaternary additive divisor conjecture…
Mean values of long Dirichlet polynomials with higher divisor coefficients
Alia Hamieh, Nathan Ng
In this article, we prove an asymptotic formula for mean values of long Dirichlet polynomials with higher order shifted divisor functions, assuming a smoothed additive divisor conj…
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…
Sharper Bounds for the Chebyshev function
Samuel Broadbent, Habiba Kadiri, Allysa Lumley +2
In this article, we provide explicit bounds for the prime counting function in all ranges of . The bounds for the error term for are of the shape and $\fra…
The least prime ideal in the Chebotarev Density Theorem
Habiba Kadiri, Nathan Ng, Peng-Jie Wong
In this article, we prove a new bound for the least prime ideal in the Chebotarev density theorem, which improves the main theorem of Zaman [Funct. Approx. Comment. Math. 57 (2017)…