Paul D. Nelson

activity

20102022

most citedEquidistribution of cusp forms in the level aspect

28 citations · 140 across the 20 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 24 cited

The orbit method and analysis of automorphic forms

Paul D. Nelson, Akshay Venkatesh

We develop the orbit method in a quantitative form, along the lines of microlocal analysis, and apply it to the analytic theory of automorphic forms. Our main global application is…

math.NT2018

Subconvex bounds on GL(3) via degeneration to frequency zero

Roman Holowinsky, Paul D. Nelson

For a fixed cusp form $π$ on $GL_{3} (Z)$ and a varying Dirichlet character $χ$ of prime conductor $q$ , we prove that the subconvex bound \[ L(π\otimes χ, \tfr…