Paul D. Nelson

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All published works

Action	Title	Year	Authors
+ PDF Chat	Local integral transforms and global spectral decomposition	2024	Valentin Blomer Subhajit Jana Paul D. Nelson
+ PDF Chat	Local analysis of the Kuznetsov formula and the density conjecture	2024	Edgar Assing Valentin Blomer Paul D. Nelson
+ PDF	Theta functions, fourth moments of eigenforms and the sup-norm problem II	2024	Ilya Khayutin Paul D. Nelson Raphael S. Steiner
+ PDF Chat	The Weyl bound for triple product L-functions	2023	Valentin Blomer Subhajit Jana Paul D. Nelson
+	Spectral aspect subconvex bounds for $$U_{n+1} \times U_n$$	2023	Paul D. Nelson
+	Subconvex bounds for $U_{n+1}\times U_n$ in horizontal aspects	2023	Yueke Hu Paul D. Nelson
+ PDF	Correction to: The spectral decomposition of $$\|\theta \|^2$$	2022	Paul D. Nelson
+	Theta functions, fourth moments of eigenforms, and the sup-norm problem II	2022	Ilya Khayutin Paul D. Nelson Raphael S. Steiner
+	The subconvexity problem for Rankin-Selberg and triple product L-functions	2022	Yueke Hu Philippe Michel Paul D. Nelson
+	Bounds for standard $L$-functions	2021	Paul D. Nelson
+ PDF Chat	Quadratic Hecke Sums and Mass Equidistribution	2021	Paul D. Nelson
+ PDF	Correction to: The spectral decomposition of $$\|\theta \|^2$$	2021	Paul D. Nelson
+ PDF	The orbit method and analysis of automorphic forms	2021	Paul D. Nelson Akshay Venkatesh
+	Bounds for standard $L$-functions	2021	Paul D. Nelson
+	The Weyl bound for triple product L-functions	2021	Valentin Blomer Subhajit Jana Paul D. Nelson
+ PDF	The spectral decomposition of $$\|\theta \|^2$$	2020	Paul D. Nelson
+	Spectral aspect subconvex bounds for ${\rm U}_{n+1} \times {\rm U}_{n}$	2020	Paul D. Nelson
+	Characterizing the Probability Law on Time Until Core Damage With PRA	2020	Martin Wortman Ernest Kee Paul D. Nelson
+ PDF	Bounds for twisted symmetric square <i>L</i>-functions via half-integral weight periods	2020	Paul D. Nelson
+	Spectral aspect subconvex bounds for ${\rm U}_{n+1} \times {\rm U}_{n}$	2020	Paul D. Nelson
+ PDF Chat	Some analytic aspects of automorphic forms on GL(2) of minimal type	2019	Yueke Hu Paul D. Nelson Abhishek Saha
+	Eisenstein series and the cubic moment for PGL(2)	2019	Paul D. Nelson
+	Analytic newvectors for $\mathrm{GL}_n(\mathbb{R})$	2019	Subhajit Jana Paul D. Nelson
+ PDF Chat	Subconvex equidistribution of cusp forms: Reduction to Eisenstein observables	2019	Paul D. Nelson
+	Quantum variance on quaternion algebras, III	2019	Paul D. Nelson
+	Eisenstein series and the cubic moment for PGL(2)	2019	Paul D. Nelson
+	Analytic newvectors for $\mathrm{GL}_n(\mathbb{R})$	2019	Subhajit Jana Paul D. Nelson
+ PDF	Microlocal lifts and quantum unique ergodicity on GL2(ℚp)	2018	Paul D. Nelson
+	New test vector for Waldspurger's period integral	2018	Yueke Hu Paul D. Nelson
+	Subconvex bounds on $${{\mathrm{GL}}}_3$$ GL 3 via degeneration to frequency zero	2018	Roman Holowinsky Paul D. Nelson
+	The orbit method and analysis of automorphic forms	2018	Paul D. Nelson Akshay Venkatesh
+	Subconvex bounds on GL(3) via degeneration to frequency zero	2018	Roman Holowinsky Paul D. Nelson
+	New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds	2018	Yueke Hu Paul D. Nelson
+	Subconvex bounds on GL(3) via degeneration to frequency zero	2018	Roman Holowinsky Paul D. Nelson
+ PDF Chat	Analytic isolation of newforms of given level	2017	Paul D. Nelson
+	Some analytic aspects of automorphic forms on GL(2) of minimal type	2017	Yueke Hu Paul D. Nelson Abhishek Saha
+	Quantum variance on quaternion algebras, II	2017	Paul D. Nelson
+	Analytic isolation of newforms of given level	2016	Paul D. Nelson
+	The spectral decomposition of $\|\theta\|^2$	2016	Paul D. Nelson
+	The spectral decomposition of $\|θ\|^2$	2016	Paul D. Nelson
+	Analytic isolation of newforms of given level	2016	Paul D. Nelson
+	Quantum variance on quaternion algebras, I	2016	Paul D. Nelson
+ PDF	Evaluating modular forms on Shimura curves	2015	Paul D. Nelson
+ PDF	New equidistribution estimates of Zhang type	2014	Wouter Castryck Étienne Fouvry Gergely Harcos Emmanuel Kowalski Philippe Michel Paul D. Nelson E. Paldi J. Pintz Andrew V. Sutherland Terence Tao
+ PDF	Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels	2013	Paul D. Nelson Ameya Pitale Abhishek Saha
+	Stable averages of central values of Rankin–Selberg L -functions: Some new variants	2013	Paul D. Nelson
+	Evaluating modular forms on Shimura curves	2012	Paul D. Nelson
+	Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels	2012	Paul D. Nelson Ameya Pitale Abhishek Saha
+	Stable averages of central values of Rankin-Selberg L-functions: some new variants	2012	Paul D. Nelson
+	Evaluating modular forms on Shimura curves	2012	Paul D. Nelson
+	Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels	2012	Paul D. Nelson Ameya Pitale Abhishek Saha
+	Stable averages of central values of Rankin-Selberg L-functions: some new variants	2012	Paul D. Nelson
+ PDF Chat	Mass equidistribution of Hilbert modular eigenforms	2011	Paul D. Nelson
+ PDF Chat	Equidistribution of cusp forms in the level aspect	2011	Paul D. Nelson
+	Some New Aspects of Mass Equidistribution	2011	Paul D. Nelson
+ PDF	Positive Solutions of Positive Linear Equations	1972	Paul D. Nelson

Common Coauthors

Coauthor	Papers Together
Yueke Hu	6
Abhishek Saha	5
Subhajit Jana	5
Valentin Blomer	4
Roman Holowinsky	3
Ameya Pitale	3
Akshay Venkatesh	2
Ilya Khayutin	2
Raphael S. Steiner	2
Philippe Michel	2
Edgar Assing	1
Ernest Kee	1
Gergely Harcos	1
Andrew V. Sutherland	1
J. Pintz	1
Xiao-Feng Xie	1
Martin Wortman	1
Wouter Castryck	1
Étienne Fouvry	1
E. Paldi	1
Terence Tao	1
Emmanuel Kowalski	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The subconvexity problem for GL2	2010	Philippe Michel Akshay Venkatesh	21
+ PDF	Sparse equidistribution problems, period bounds and subconvexity	2010	Akshay Venkatesh	14
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner	10
+	Trilinear forms and the central values of triple product L-functions	2008	Atsushi Ichino	10
+ PDF	On the Periods of Automorphic Forms on Special Orthogonal Groups and the Gross–Prasad Conjecture	2009	Atsushi Ichino Tamutsu Ikeda	10
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	10
+ PDF	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	10
+ PDF	The behaviour of eigenstates of arithmetic hyperbolic manifolds	1994	Zeév Rudnick Peter Sarnak	9
+	Perspectives on the Analytic Theory of L-Functions	2000	Henryk Iwaniec Peter Sarnak	9
+ PDF Chat	Equidistribution of cusp forms in the level aspect	2011	Paul D. Nelson	9
+	Quantum variance on quaternion algebras, III	2019	Paul D. Nelson	9
+	Mass equidistribution for Hecke eigenforms	2010	Roman Holowinsky K. Soundararajan	9
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	8
+	Mass equidistribution for Hecke eigenforms	2003	Wenzhi Luo Peter Sarnak	8
+ PDF	Subconvexity bounds for triple<i>L</i>-functions and representation theory	2010	Joseph Bernstein André Reznikov	8
+	Weak subconvexity for central values of L-functions	2010	K. Soundararajan	8
+ PDF Chat	Subconvex equidistribution of cusp forms: Reduction to Eisenstein observables	2019	Paul D. Nelson	8
+	Sieving for mass equidistribution	2010	Roman Holowinsky	8
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	8
+ PDF	Invariant measures and arithmetic quantum unique ergodicity	2006	Elon Lindenstrauss	7
+ PDF	Evaluating modular forms on Shimura curves	2015	Paul D. Nelson	7
+ PDF	Equidistribution, <em>L</em>-functions and ergodic theory: on some problems of Yu. Linnik	2007	Philippe Michel Akshay Venkatesh	7
+ PDF	Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels	2013	Paul D. Nelson Ameya Pitale Abhishek Saha	7
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	7
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	7
+	On some results of Atkin and Lehner	1973	W. Casselman	7
+	Automorphic Forms and Representations	1997	Daniel Bump	6
+	Coefficients of Maass Forms and the Siegel Zero	1994	Jeffrey Hoffstein Paul Lockhart	6
+	Rankin Triple Products and Quantum Chaos	2002	Thomas C. Watson	6
+	Periods of Saito–Kurokawa Representations	2013	Yannan Qiu	6
+ PDF	A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$	1978	Stephen Gelbart Hervé Jacquet	6
+	Automorphic forms and representations	1997	Daniel Bump	6
+ PDF	Automorphic Forms on GL(2) Part II	1972	Hervé Jacquet	6
+ PDF	Rankin-Selberg L-functions in the level aspect	2002	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam	6
+	A Course in Arithmetic	1973	Jean Pierre Serre	6
+	Spectral Methods of Automorphic Forms	2002	Henryk Iwaniec	6
+	The Central Critical Value of a Triple Product L-Function	1991	Michael Harris Stephen S. Kudla	6
+	Rankin Triple Products and Quantum Chaos	2008	Thomas C. Watson	6
+ PDF	Merits and demerits of the orbit method	1999	Alexander Kirillov	5
+ PDF	Quantum variance for Hecke eigenforms☆	2004	Wei‐Jie Luo Peter Sarnak	5
+	On the Holomorphy of Certain Dirichlet Series	1975	Goro Shimura	5
+	L ∞ Norms of Eigenfunctions of Arithmetic Surfaces	1995	Henryk Iwaniec Peter Sarnak	5
+ PDF	Bounds for $\rGL(3) \times \rGL(2)$ $\rL$-functions and $\rGL(3)$ $\rL$-functions	2011	Xiaoqing Li	5
+	La conjecture de Weil. I	1974	Pierre Deligne	5
+	Rankin triple L functions	1987	Ilya Piatetski-Shapiro Stephen Rallis	5
+ PDF	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras	5
+ PDF Chat	Mass equidistribution of Hilbert modular eigenforms	2011	Paul D. Nelson	5
+	The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions	2015	Ritabrata Munshi	5
+	The circle method and bounds for L-functions - IV: Subconvexity for twists of GL(3) L-functions	2015	Ritabrata Munshi	5
+ PDF	Sur certains groupes d'opérateurs unitaires	1964	André Weil	4