Paul D. Nelson

发表

Bounds for standard $L$-functions

Paul D. Nelson, 2021 .

The Weyl bound for triple product L-functions

Paul D. Nelson, S. Jana, V. Blomer, 2021, Duke Mathematical Journal.

Subconvex bounds on $${{\mathrm{GL}}}_3$$GL3 via degeneration to frequency zero

Paul D. Nelson, R. Holowinsky, 2018, Mathematische Annalen.

Stable averages of central values of Rankin–Selberg L-functions: Some new variants

Paul D. Nelson, 2012, 1202.6313.

Analytic isolation of newforms of given level

Paul D. Nelson, 2017, Archiv der Mathematik.

The subconvexity problem for Rankin-Selberg and triple product L-functions

Paul D. Nelson, P. Michel, Yueke Hu, 2022, 2207.14449.

Subconvex equidistribution of cusp forms: Reduction to Eisenstein observables

Paul D. Nelson, 2017, Duke mathematical journal.

The orbit method and analysis of automorphic forms

Paul D. Nelson, Akshay Venkatesh, 2018, Acta Mathematica.

Correction to: The spectral decomposition of $$|\theta |^2$$

Paul D. Nelson, 2022, Mathematische Zeitschrift.

Quantum variance on quaternion algebras, II

Paul D. Nelson, 2017, 1702.02669.

Quantum variance on quaternion algebras, III

Paul D. Nelson, 2016, 1903.08686.

The spectral decomposition of $$|\theta |^2$$

Paul D. Nelson, 2016, 1601.02529.

Quantum variance on quaternion algebras, I

Paul D. Nelson, 2016, 1601.02526.

Spectral aspect subconvex bounds for ${\rm U}_{n+1} \times {\rm U}_{n}$.

Paul D. Nelson, 2020, 2012.02187.

Quadratic Hecke Sums and Mass Equidistribution

Paul D. Nelson, 2020, 2001.08704.

Microlocal lifts and quantum unique ergodicity on GL2(ℚp)

Paul D. Nelson, 2016, Algebra & Number Theory.

Some analytic aspects of automorphic forms on GL(2) of minimal type

Paul D. Nelson, A. Saha, Yueke Hu, 2017, 1709.10362.

Bounds for Rankin-Selberg integrals and quantum unique ergodicity for powerful levels

Paul D. Nelson, A. Saha, Ameya Pitale, 2012, 1205.5534.

Mass equidistribution of Hilbert modular eigenforms

Paul D. Nelson, 2010, 1011.1291.

Mass equidistribution of Hilbert modular eigenforms

Paul D. Nelson, 2011, The Ramanujan Journal.

Equidistribution Of Cusp Forms In The Level Aspect

Paul D. Nelson, 2010, 1011.1292.

Eisenstein series and the cubic moment for PGL(2)

Paul D. Nelson, 2019, 1911.06310.

Analytic newvectors for $\mathrm{GL}_n(\mathbb{R})$.

Paul D. Nelson, S. Jana, 2019, 1911.01880.

Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$

Paul D. Nelson, 2023, Inventiones mathematicae.

Bounds for twisted symmetric square L-functions via half-integral weight periods

Paul D. Nelson, 2019, Forum of Mathematics, Sigma.

Evaluating modular forms on Shimura curves

Paul D. Nelson, Paul D. Nelson, 2012, Math. Comput..

Analytic isolation of newforms of given level

Paul D. Nelson, 2016, 1601.02530.

New equidistribution estimates of Zhang type

Andrew V. Sutherland, Paul D. Nelson, T. Tao, 2014 .

Some analytic aspects of automorphic forms on GL(2) of minimal type

Paul D. Nelson, A. Saha, Yueke Hu, 2017, Commentarii Mathematici Helvetici.

Theta functions, fourth moments of eigenforms, and the sup-norm problem II

Paul D. Nelson, R. Steiner, Ilya Khayutin, 2022, 2207.12351.

The Weyl bound for triple product L-functions

Paul D. Nelson, S. Jana, V. Blomer, 2021, Duke Mathematical Journal.

The spectral decomposition of |θ|2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$|\theta |^2$$\end{document}

Paul D. Nelson, 2020, Mathematische Zeitschrift.

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

Paul D. Nelson, R. Holowinsky, 2018, 1801.08593.

Some New Aspects of Mass Equidistribution

Paul D. Nelson, 2011 .

DIOPHANTINE CONSEQUENCES OF DELIGNE’S WEIL II MAIN THEOREM

Paul D. Nelson, P. Michel, 2013 .

The subconvexity problem for Rankin-Selberg and triple product L-functions

Paul D. Nelson, P. Michel, Yueke Hu, 2022, 2207.14449.