8 citations · 18 across the 6 of their papers we have counts for
8 papers
The second moment of derivatives of quadratic twists of modular -functions
Yujiao Jiang, Quanli Shen, Ziyang Tang
We prove an asymptotic formula for the second moment of the first derivative of quadratic twists of modular -functions with three leading order main terms. It improves the previ…
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…
Counting zeros of the Riemann zeta function
Elchin Hasanalizade, Quanli Shen, Peng-Jie Wong
In this article, we show that where denotes the n…
The first moment of quadratic twists of modular -functions
Quanli Shen
We obtain an asymptotic formula with an error term for the smoothed first moment of quadratic twists of modular -functions. We also give a sim…
Counting zeros of Dedekind zeta functions
Elchin Hasanalizade, Quanli Shen, Peng-Jie Wong
Given a number field of degree and with absolute discriminant , we obtain an explicit bound for the number of non-trivial zeros (counted with multiplicity),…
The fourth moment of quadratic Dirichlet -functions
Quanli Shen
We study the fourth moment of quadratic Dirichlet -functions at . We show an asymptotic formula under the generalized Riemann hypothesis, and obtain a precise lo…
The ternary Goldbach problem with primes in positive density sets
Quanli Shen
Let denote the set of all primes. are three subsets of . Let denote the lower density of in…