18 citations · 31 across the 7 of their papers we have counts for
7 papers
The sixth moment of Dirichlet L-functions at the central point
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
In 1970, Huxley obtained a sharp upper bound for the sixth moment of Dirichlet -functions at the central point, averaged over primitive characters modulo and all moduli…
On Benford's Law for multiplicative functions
Vorrapan Chandee, Xiannan Li, Paul Pollack +1
We provide a criterion to determine whether a real multiplicative function is a strong Benford sequence. The criterion implies that the -divisor functions, where ,…
The eighth moment of the family of -automorphic -functions
Vorrapan Chandee, Xiannan Li
We prove a Lindelöf on average bound for the eighth moment of a family of -functions attached to automorphic forms on , the first time this has been accomplished. Previou…
The sixth moment of automorphic -functions
Vorrapan Chandee, Xiannan Li
In this paper, we consider the -functions where is an eigenform for the congruence subgroup . We prove an asymptotic formula for the sixth moment of this f…
The Riemann-zeta function on vertical arithmetic progressions
Xiannan Li, Maksym Radziwill
We show that the twisted second moments of the Riemann zeta function averaged over the arithmetic progression with , real, exhibits a remarkable corres…
The argument of the Riemann -function off the critical line
Xiannan Li
We examine the behaviour of the zeros of the real and imaginary parts of on the vertical line , for . This can be rephrased in terms of studying the…