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

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Showing 2016Show all

3 papers · 1 filter

math.NT2016

Analytic isolation of newforms of given level

Paul D. Nelson

We describe a method for understanding averages over newforms on $Γ_{0} (q)$ in terms of averages over all forms of some level. The method is simplest when $q$ is divisible by the cub…

math.NT2016★ 6 cited

Microlocal lifts and quantum unique ergodicity on $G L (2, Q_{p})$

Paul D. Nelson

We prove that arithmetic quantum unique ergodicity holds on compact arithmetic quotients of $G L (2, Q_{p})$ for automorphic forms belonging to the principal series. We interpr…

math.NT2016★ 3 cited

Quantum variance on quaternion algebras, I

Paul D. Nelson

We determine the quantum variance of a sequence of families of automorphic forms on a compact quotient arising from a non-split quaternion algebra. Our results compare to those obt…

Analytic isolation of newforms of given level

Microlocal lifts and quantum unique ergodicity on GL(2,Qp​)

Quantum variance on quaternion algebras, I

Microlocal lifts and quantum unique ergodicity on $G L (2, Q_{p})$