SU\G(𝔸)/K·U

Timothy Gillespie

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All published works
Action Title Year Authors
+ Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N) 2024 Timothy Gillespie
+ PDF Chat Double square moments and bounds for resonance sums of cusp forms 2022 Timothy Gillespie
Praneel Samanta
Yangbo Ye
+ Asymptotic free probability for arithmetic functions and factorization of Dirichlet series 2015 Ilwoo Cho
Timothy Gillespie
Palle E. T. Jørgensen
+ Zero correlation with lower-order terms for automorphic L-functions 2015 Timothy Gillespie
Yangbo Ye
+ Free Probability on Hecke Algebras 2014 Ilwoo Cho
Timothy Gillespie
+ The prime number theorem and Hypothesis H with lower-order terms 2014 Timothy Gillespie
Yangbo Ye
+ Superposition of zeros of automorphic L-functions and functoriality 2011 Timothy Gillespie
Common Coauthors
Coauthor Papers Together
Yangbo Ye 3
Ilwoo Cho 2
Palle E. T. Jørgensen 1
Praneel Samanta 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Zeros of principal L-functions and random matrix theory 1996 Zeév Rudnick
Peter Sarnak
 4
+ PDF Chat Perron’s Formula and the Prime Number Theorem for Automorphic L-Functions 2007 Jianya Liu
Yangbo Ye
 3
+ PDF Chat Hypothesis H and the prime number theorem for automorphic representations 2007 Jie Wu
Yangbo Ye
 3
+ Automorphic forms and representations 1997 Daniel Bump
 2
+ Combinatorial theory of the free product with amalgamation and operator-valued free probability theory 1998 Roland Speicher
 2
+ PDF Chat Zeros of Automorphic L-Functions and Noncyclic Base Change 2006 Jianya Liu
Yangbo Ye
 2
+ Sur la fonctorialité, pour GL(4), donnée par le carré extérieur 2009 Guy Henniart
 2
+ La conjecture de Weil. I 1974 Pierre Deligne
 2
+ A note on Fourier coefficients of cusp forms on GL n 2006 Henry H. Kim
 2
+ PDF Chat Selberg's orthogonality conjecture for automorphic L -functions 2005 Jianya Liu
Yangbo Ye
 2
+ Converse theorems for GL n 1994 J. W. Cogdell
Ilya Piatetski-Shapiro
 2
+ PDF Chat Low lying zeros of families of L-functions 2000 Henryk Iwaniec
Wenzhi Luo
Peter Sarnak
 2
+ Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂ 2002 Henry Kim
 2
+ Functoriality of automorphic L-functions through their zeros 2008 JianYa Liu
Yangbo Ye
 2
+ Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index 1994 Florin R�dulescu
 2
+ Prime number theorems for Rankin-Selberg L-functions over number fields 2011 Tim Gillespie
Guanghua Ji
 2
+ PDF Chat Applications of the<i>L</i>-functions ratios conjectures 2007 J. Brian Conrey
N. C. Snaith
 2
+ Resonance sums for Rankin–Selberg products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">SL</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Maass cusp forms 2016 Kyle Czarnecki
 2
+ Free Random Variables 1992 Dan Voiculescu
Kenneth J. Dykema
Alexandru Nica
 2
+ PDF Chat Lower order terms in the 1-level density for families of holomorphic cuspidal newforms 2009 Steven J. Miller
 2
+ PDF Chat Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions 2005 Jianya Liu
Yangbo Ye
 2
+ PDF Chat Superposition of zeros of distinct L-functions 2002 Jianya Liu
Yangbo Ye
 2
+ Computing the Laplace eigenvalue and level of Maass cusp forms 2016 Paul Savala
 2
+ Cuspidality of symmetric powers with applications 2002 Henry H. Kim
Freydoon Shahidi
 2
+ Resonance between automorphic forms and exponential functions 2010 Xiumin Ren
Yangbo Ye
 2
+ Krein-Space Representations of Arithmetic Functions Determined by Primes 2014 Ilwoo Cho
Palle E. T. Jørgensen
 2
+ Appendix: On the local descent from GL( n ) to classical groups 2012 Dihua Jiang
David Soudry
 1
+ Representation theory and automorphic functions 1969 М. И. Граев
Ilya Piatetski-Shapiro
I. M. Gel'fand
K. A. Hirsch
 1
+ An easy-to-compute factorization of rational generalized positive functions 2010 Daniel Alpay
Izchak Lewkowicz
 1
+ Conducteur des repr�sentations du groupe lin�aire 1981 H. Jacquet
Ilya Piatetski-Shapiro
J. A. Shalika
 1
+ Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n) 1984 Freydoon Shahidi
 1
+ Topics in Classical Automorphic Forms 1997 Henryk Iwaniec
 1
+ Resonances and Ω-results for exponential sums related to Maass forms for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2015 Anne-Maria Ernvall-Hytönen
Jesse Jääsaari
Esa V. Vesalainen
 1
+ PDF Chat Some Remarks on Reproducing Kernel Krein Spaces 1991 Daniel Alpay
 1
+ Modular Functions and Dirichlet Series in Number Theory 1990 Tom M. Apostol
 1
+ Resonance of automorphic forms for 𝐺𝐿(3) 2014 Xiumin Ren
Yangbo Ye
 1
+ Free Distributional Data of Arithmetic Functions and Corresponding Generating Functions Determined by Gaps Between Primes 2013 Ilwoo Cho
 1
+ PDF Chat Dynamical systems on arithmetic functions determined by primes 2015 Ilwoo Cho
 1
+ Area, Lattice Points, and Exponential Sums 1996 M. N. Huxley
 1
+ p-Adic Analysis and Mathematical Physics 1994 V. S. Vladimirov
И. В. Волович
E. I. Zelenov
 1
+ PDF Chat On certain exponential sums related to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> cusp forms 2009 Anne-Maria Ernvall-Hytönen
 1
+ PDF Chat On the distribution of spacings between zeros of the zeta function 1987 Andrew Odlyzko
 1
+ On Euler Products and the Classification of Automorphic Representations I 1981 H. Jacquet
J. A. Shalika
 1
+ Correlation of zeros of automorphic L-functions 2008 Jianya Liu
Yangbo Ye
 1
+ PDF Chat Selberg’s conjectures and Artin 𝐿-functions 1994 M. Ram Murty
 1
+ Statistical Theory of the Energy Levels of Complex Systems. I 1962 Freeman J. Dyson
 1
+ Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume <i>II</i><sub>x</sub> zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen 1977 M. Г. Крейн
Heinz Langer
 1
+ A proof of Selberg's orthogonality for automorphic L-functions 2005 Jianya Liu
Yonghui Wang
Yangbo Ye
 1
+ Dirichlet expression for L(1, χ) with general Dirichlet character 2010 Vivek V. Rane
 1
+ PDF Chat Adeles and Algebraic Groups 1982 André Weil
 1