3 citations · 6 across the 10 of their papers we have counts for
11 papers
An almost sharp quantitative version of the Duffin-Schaeffer conjecture
Dimitris Koukoulopoulos, James Maynard, Daodao Yang
We prove a quantitative version of the Duffin-Schaeffer conjecture with an almost sharp error term. Precisely, let be a function such that the series $\sum…
Omega theorems for logarithmic derivatives of zeta and -functions
Daodao Yang
We establish several new -theorems for logarithmic derivatives of the Riemann zeta function and Dirichlet -functions. In particular, this improves on earlier work of Landau (…
Mean values of ratios of the Riemann zeta function
Daodao Yang
It is proved that $$\int_{T}^{2T} \left|\frac{ζ\left(\frac{1}{2}+{\rm i} t\right)}{ζ\left(1+2{\rm i} t\right)}\right|^2 {\rm d} t = \frac{1}{ζ(2)} T \log T + \left( \frac{\log \fra…
Extreme values of Dirichlet polynomials with multiplicative coefficients
Max Wenqiang Xu, Daodao Yang
We study extreme values of Dirichlet polynomials with multiplicative coefficients, namely \[D_N(t) : = D_{f,\, N}(t)= \frac{1}{\sqrt{N}} \sum_{n\leqslant N} f(n) n^{it}, \] where $…
Extreme values of derivatives of zeta and -functions
Daodao Yang
It is proved that as , uniformly for all positive integers , we have \begin{equation*} \max_{T\leqslant t\leqslant 2T}\left|ζ^…
A note on log-type GCD sums and derivatives of the Riemann zeta function
Daodao Yang
In [Yan22a], we defined so-called ``log-type" GCD sums and proved the lower bounds . We will establish the upper bound…