Xiannan Li

activity

20092026

most citedUpper bounds on L-functions at the edge of the critical strip

18 citations · 35 across the 19 of their papers we have counts for

collaborators

Showing 2012 · math.NTShow all

3 papers · 2 filters

math.NT2012★ 3 cited

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 $1/2 + i (an + b)$ with $a > 0$ , $b$ real, exhibits a remarkable corres…

math.NT2012

Additive twists of Fourier coefficients of GL(3) Maass forms

Xiannan Li

We prove cancellation in a sum of Fourier coefficents of a GL(3) form $F$ twisted by additive characters, uniformly in the form $F$ .

math.NT2012★ 1 cited

Lower bounds for small fractional moments of Dirichlet $L$ -functions

Vorrapan Chandee, Xiannan Li

We prove a lower bound of the correct order of magnitude in the conductor aspect for small rational moments of Drichlet $L$ -functions. Such bounds require new techniques, which is…

The Riemann-zeta function on vertical arithmetic progressions

Additive twists of Fourier coefficients of GL(3) Maass forms

Lower bounds for small fractional moments of Dirichlet L-functions

Lower bounds for small fractional moments of Dirichlet $L$ -functions