Dorian Goldfeld

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All published works
Action Title Year Authors
+ The shifted convolution L-function for Maass forms 2024 Dorian Goldfeld
Gerhardt Hinkle
Jeffrey Hoffstein
+ PDF The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$ 2023 Dorian Goldfeld
Eric Stade
Michael Woodbury
+ PDF The functional equations of Langlands Eisenstein series for SL(n, ℤ) 2023 Dorian Goldfeld
Eric Stade
Michael Woodbury
+ PDF Chat Number theoretical locally recoverable codes 2023 Andrea Ferraguti
Dorian Goldfeld
Giacomo Micheli
+ ℵ-structures: One-way Actions via Holomorphs and Split Extensions with Cryptographic Applications 2023 Iris Anshel
Dorian Goldfeld
Paul E. Gunnells
+ The first coefficient of Langlands Eisenstein series for $\hbox{SL}(n,\mathbb Z)$ 2023 Dorian Goldfeld
Eric Stade
Michael Woodbury
+ Number Theoretical Locally Recoverable Codes 2023 Andrea Ferraguti
Dorian Goldfeld
Giacomo Micheli
+ PDF The cubic Pell equation $L$-function 2023 Dorian Goldfeld
Gerhardt Hinkle
+ The shifted convolution $L$-function for Maass forms 2023 Dorian Goldfeld
Gerhardt Hinkle
Jeffrey Hoffstein
+ The cubic Pell equation L-function 2022 Dorian Goldfeld
Gerhardt Hinkle
+ An Asymptotic Orthogonality Relation for ${\rm GL}(n, \mathbb R)$ 2022 Dorian Goldfeld
Eric Stade
Michael Woodbury
+ Preface 2021 Dorian Goldfeld
Ambrus Pál
Federico Pellarin
Lejla Smajlović
+ Automorphic Representations and L-Functions for GL(n) 2021 Dorian Goldfeld
Hervé Jacquet
+ PDF An orthogonality relation for (with an appendix by Bingrong Huang) 2021 Dorian Goldfeld
Eric Stade
Michael Woodbury
+ PDF Chat The algebraic theory of fractional jumps 2020 Dorian Goldfeld
Giacomo Micheli
+ PDF Ironwood meta key agreement and authentication protocol 2020 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ A template method for Fourier coefficients of Langlands Eisenstein series 2020 Dorian Goldfeld
Stephen D. Miller
Michael Woodbury
+ The Algebraic Theory of Fractional Jumps 2020 Dorian Goldfeld
Giacomo Micheli
+ Alexander Smith Wins the First David Goss Prize in Number Theory 2019 Dorian Goldfeld
Simone Munaò
+ Defeating the Hart et al, Beullens-Blackburn, Kotov-Menshov-Ushakov, and Merz-Petit Attacks on WalnutDSA(TM). 2019 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ PDF Super-positivity of a family of L-functions 2019 Dorian Goldfeld
Bingrong Huang
+ An orthogonality relation for GL(4,R) 2019 Dorian Goldfeld
Eric Stade
Michael Woodbury
Binrong Huang
+ PDF Chat Super-positivity of a family of L-functions in the level aspect 2018 Dorian Goldfeld
Bingrong Huang
+ Super-positivity of a family of L-functions in the level aspect 2018 Dorian Goldfeld
Bingrong Huang
+ PDF A Standard Zero Free Region for Rankin–Selberg L-Functions 2017 Dorian Goldfeld
Xiaoqing Li
+ Ironwood Meta Key Agreement and Authentication Protocol 2017 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey 2017 Dorian Goldfeld
+ PDF Chat On an Additive Prime Divisor Function of Alladi and Erdős 2017 Dorian Goldfeld
+ Ironwood Meta Key Agreement and Authentication Protocol 2017 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ On an additive prime divisor function of Alladi and Erdos 2016 Dorian Goldfeld
+ Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser 2016 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ A standard zero free region for Rankin-Selberg L-functions 2016 Dorian Goldfeld
Xiaoqing Li
+ Super-positivity of a family of L-functions 2016 Dorian Goldfeld
Bingrong Huang
+ Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser 2016 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser 2016 Iris Anshel
Derek Atkins
Dorian Goldfeld
Paul E. Gunnells
+ On an additive prime divisor function of Alladi and Erdos 2016 Dorian Goldfeld
+ First moments of Fourier coefficients of GL(r) cusp forms 2014 Dorian Goldfeld
Jyoti Sengupta
+ A converse theorem for double Dirichlet series and Shintani zeta functions 2014 Nikolaos Diamantis
Dorian Goldfeld
+ PDF Chat Fourier expansions of GL(2) newforms at various cusps 2013 Dorian Goldfeld
Joseph Hundley
Min Lee
+ On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions 2012 Dorian Goldfeld
Alex Kontorovich
+ Number theory, analysis and geometry : in memory of Serge Lang 2012 Dorian Goldfeld
Jay Jorgenson
Peter Jones
Dinakar Ramakrishnan
Kenneth A. Ribet
John Tate
+ Defeating the Kalka--Teicher--Tsaban linear algebra attack on the Algebraic Eraser 2012 Dorian Goldfeld
Paul E. Gunnells
+ PDF On the determination of the Plancherel measure for Lebedev–Whittaker transforms on \mathop GL(n) 2012 Dorian Goldfeld
Alex Kontorovich
+ On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions 2012 Dorian Goldfeld
Alex Kontorovich
+ PDF Multiple Dirichlet Series, L-functions and Automorphic Forms 2012 Daniel Bump
Solomon Friedberg
Dorian Goldfeld
+ Natural Boundaries and Integral Moments of L-Functions 2012 Adrian Diaconu
Paul Garrett
Dorian Goldfeld
+ Number Theory, Analysis and Geometry 2011 Dorian Goldfeld
Jay Jorgenson
Peter B. Jones
Dinakar Ramakrishnan
Kenneth A. Ribet
John Tate
+ On the Kontorovich-Lebedev Transform 2011 Dorian Goldfeld
Alex Kontorovich
Eric Stade
+ PDF Moments for L-Functions for GL r×GL r-1 2011 Adrian Diaconu
Paul Garrett
Dorian Goldfeld
+ A converse theorem for double Dirichlet series 2011 Nikolaos Diamantis
Dorian Goldfeld
+ The contragredient representation for <i>GL</i>(2) 2011 Dorian Goldfeld
Joseph Hundley
+ Automorphic Representations and L-Functions for the General Linear Group 2011 Dorian Goldfeld
Joseph Hundley
+ The Godement-Jacquet L-function for <i>GL</i>(<i>n</i>, A<sub>ℚ</sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ Theory of admissible (<i>g</i>, <i>K</i><sub>∞</sub>) modules for <i>GL</i>(2, ℝ) 2011 Dorian Goldfeld
Joseph Hundley
+ Automorphic forms for <i>GL</i>(2, A<sub>ℚ</sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ Automorphic representations for <i>GL</i>(2, A<sub>ℚ</sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ Tensor products of local representations 2011 Dorian Goldfeld
Joseph Hundley
+ The classical theory of automorphic forms for <i>GL</i>(<i>n</i>, ℝ) 2011 Dorian Goldfeld
Joseph Hundley
+ Unitary representations of <i>GL</i>(2) 2011 Dorian Goldfeld
Joseph Hundley
+ Automorphic representations and L-functions for <i>GL</i>(1, A<sub>ℚ</sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ Theory of admissible representations of <i>GL</i>(2, ℚ<sub> <i>p</i> </sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ The Godement-Jacquet L-function for <i>GL</i>(2, A<sub>ℚ</sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ The classical theory of automorphic forms for <i>GL</i>(2) 2011 Dorian Goldfeld
Joseph Hundley
+ Automorphic Representations and L-Functions for the General Linear Group 2011 Dorian Goldfeld
Joseph Hundley
+ Theory of local representations for <i>GL(n)</i> 2011 Dorian Goldfeld
Joseph Hundley
+ Automorphic forms and representations for <i>GL</i>(<i>n</i>, A<sub>ℚ</sub>) 2011 Dorian Goldfeld
Joseph Hundley
+ On the Determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n) 2011 Dorian Goldfeld
Alex Kontorovich
+ Collected works of Hervé Jacquet 2011 Hervé Jacquet
Dorian Goldfeld
+ Fourier expansions of GL(2) newforms at various cusps 2010 Dorian Goldfeld
Joseph Hundley
Min Lee
+ Invariant differential operators 2009 Dorian Goldfeld
+ Existence of Maass forms 2009 Dorian Goldfeld
+ Poincaré series and Kloosterman sums 2009 Dorian Goldfeld
+ Automorphic forms and L–functions for<i>SL</i>(2, ℤ) 2009 Dorian Goldfeld
+ Appendix: The GL(n)pack Manual 2009 Kevin Broughan
Dorian Goldfeld
+ Bounds for L-functions and Siegel zeros 2009 Dorian Goldfeld
+ Langlands conjectures 2009 Dorian Goldfeld
+ The Godement–Jacquet L-function 2009 Dorian Goldfeld
+ Langlands Eisenstein series 2009 Dorian Goldfeld
+ Maass forms and Whittaker functions for<i>SL</i>(<i>n</i>,ℤ) 2009 Dorian Goldfeld
+ Rankin–Selberg convolutions 2009 Dorian Goldfeld
+ Automorphic forms and L-functions for<i>SL</i>(3, ℤ) 2009 Dorian Goldfeld
+ Computational aspects of maass forms for sl(3, z ) 2008 Dorian Goldfeld
Borislav Mezhericher
+ RANK LOWERING OPERATORS ON GL(n, ℝ) 2007 Dorian Goldfeld
+ Algebraic Methods in Cryptography (Contemporary Mathematics, V. 418) 2006 Lothar Gerritzen
Dorian Goldfeld
Martin Kreuzer
Gerhard Rosenberger
Vladimir Shpilrain
+ Automorphic Forms and L-Functions for the Group Gl(n, R) 2006 Dorian Goldfeld
+ Voronoi formulas on GL(n) 2006 Dorian Goldfeld
X. Li
+ Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory 2006 Solomon Friedberg
Daniel Bump
Dorian Goldfeld
Jeffrey Hoffstein
+ PDF Rank Lowering Linear Maps and Multiple Dirichlet Series Associated to GL(n,R) 2006 Dorian Goldfeld
Meera Thillainatesan
+ SECOND MOMENTS OF GL2 AUTOMORPHIC L–FUNCTIONS 2006 Adrian Diaconu
Dorian Goldfeld
+ Automorphic Forms and L-Functions for the Group<i>GL</i>(<i>n</i>, R) 2006 Dorian Goldfeld
+ Second moments of quadratic Hecke 𝐿-series and multiple Dirichlet series I 2006 Adrian Diaconu
Dorian Goldfeld
+ Key agreement, the Algebraic Eraser^{𝑇𝑀}, and lightweight cryptography 2006 Iris Anshel
Michael Anshel
Dorian Goldfeld
Stéphane Lemieux
+ Counting primes, groups, and manifolds 2004 Dorian Goldfeld
Alexander Lubotzky
Nikolay Nikolov
László Pyber
+ PDF The Gauss Class Number Problem for Imaginary Quadratic Fields 2004 Dorian Goldfeld
+ PDF Counting congruence subgroups 2004 Dorian Goldfeld
Alexander Lubotzky
László Pyber
+ Counting congruence subroups 2004 Dorian Goldfeld
Alexander Lubotzky
L. Pyber
+ The Elementary Proof of the Prime Number Theorem: An Historical Perspective 2004 Dorian Goldfeld
+ PDF Multiple Dirichlet Series and Moments of Zeta and L-Functions 2003 Adrian Diaconu
Dorian Goldfeld
Jeffrey Hoffstein
+ PDF Estimating Additive Character Sums for Fuchsian Groups 2003 Dorian Goldfeld
Cormac O’Sullivan
+ None 2003 Dorian Goldfeld
Cormac O’Sullivan
+ Modular Forms, Elliptic Curves and the <i>ABC</i>-Conjecture 2002 Dorian Goldfeld
+ PDF The holomorphic kernel of the Rankin-Selberg convolution 2002 Dorian Goldfeld
Shengxuming Zhang
+ Grössencharakter L-functions of real quadratic fields twisted by modular symbols 2001 Gautam Chinta
Dorian Goldfeld
+ Multiple Dirichlet series and moments of zeta and L-functions 2001 Adrian Diaconu
Dorian Goldfeld
Jeffrey Hoffstein
+ Grossencharakter $L$-functions of real quadratic fields twisted by modular symbols (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups) 2000 Gautam Chinta
Dorian Goldfeld
+ Grossencharakter L-functions of real quadratic fields twisted by modular symbols (代数群上の保型形式・保型表現と保型的L関数) 2000 Gautam Chinta
Dorian Goldfeld
+ PDF Eisenstein series twisted by modular symbols for the group $\SL _{n}$ 2000 Dorian Goldfeld
Paul E. Gunnells
+ Eisenstein series twisted by modular symbols for the group SL(n) 2000 Dorian Goldfeld
Paul E. Gunnells
+ The distribution of modular symbols 1999 Dorian Goldfeld
+ PDF Book Review: Non-vanishing of L-functions and applications 1999 Dorian Goldfeld
+ PDF The holomorphic kernel of the Rankin–Selberg convolution 1999 Dorian Goldfeld
Shou-Wu Zhang
+ Zeta functions formed with modular symbols 1999 Dorian Goldfeld
+ Beyond the Last Theorem 1996 Dorian Goldfeld
+ B<scp>eyond the</scp> L<scp>ast</scp> T<scp>heorem</scp> 1996 Dorian Goldfeld
+ PDF Effective bounds on the size of the Tate-Shafarevich group 1996 Dorian Goldfeld
Daniel Lieman
+ Bounds for the order of the Tate-Shafarevich group 1995 Dorian Goldfeld
Lucien Szpiro
+ Appendix: An Effective Zero-Free Region 1994 Dorian Goldfeld
Jeffrey Hoffstein
Daniel Lieman
+ PDF Mellin transforms of Whittaker functions 1993 Solomon Friedberg
Dorian Goldfeld
+ On the number of Fourier coefficients that determine a modular form 1993 Dorian Goldfeld
Jeffrey Hoffstein
+ PDF On the computational complexity of modular symbols 1992 Dorian Goldfeld
+ PDF Partitions, Egyptian fractions, and free products of finite abelian groups 1991 Michael Anshel
Dorian Goldfeld
+ PDF Partitions, Egyptian Fractions, and Free Products of Finite Abelian Groups 1991 Michael Anshel
Dorian Goldfeld
+ Modular Elliptic Curves and Diophantine Problems 1990 Dorian Goldfeld
+ Number Theory, Trace Formulas, and Discrete Groups: Symposium in Honor of Atle Selberg, Oslo, Norway, July 14-21, 1987 1989 Atle Selberg
Karl Egil Aubert
Enrico Bombieri
Dorian Goldfeld
+ Explicit Formulae as Trace Formulae 1989 Dorian Goldfeld
+ PDF Poincaré series and Kloosterman sums for SL(3, Z) 1988 Daniel Bump
Solomon Friedberg
Dorian Goldfeld
+ Analytic Number Theory on GL(r,R) 1987 Dorian Goldfeld
+ Poincaré series and Kloosterman sums 1986 Daniel Bump
Solomon Friedberg
Dorian Goldfeld
+ Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series 1985 Dorian Goldfeld
Jeffrey Hoffstein
+ PDF Gauss’ class number problem for imaginary quadratic fields 1985 Dorian Goldfeld
+ Sums of Kloosterman sums 1983 Dorian Goldfeld
Peter Sarnak
+ PDF Some conjectures on elliptic curves over cyclotomic fields 1983 Dorian Goldfeld
Carlo Viola
+ On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves 1982 Dorian Goldfeld
Jeffrey Hoffstein
S. J. Patterson
+ On convolutions of non-holomorphic Eisenstein series 1981 Dorian Goldfeld
+ Mean values of L-funtions associated to elliptic, fermat and other curves at the centre of the critical strip 1979 Dorian Goldfeld
Carlo Viola
+ Conjectures on elliptic curves over quadratic fields 1979 Dorian Goldfeld
+ Rational isogenies of prime degree 1978 Barry Mazur
Dorian Goldfeld
+ The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer 1976 Dorian Goldfeld
+ A Further Improvement of the Brun-Titchmarsh Theorem 1975 Dorian Goldfeld
+ On Dirichlet series with identical beginnings 1975 Dorian Goldfeld
+ An asymptotic formula relating the Siegel zero and the class number of quadratic fields 1975 Dorian Goldfeld
+ On Siegel's zero 1975 Dorian Goldfeld
Andrzej Schinzel
+ A Simple Proof of Siegel's Theorem 1974 Dorian Goldfeld
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Multiplicative Number Theory 1980 H. Davenport
10
+ Automorphic Forms and L-Functions for the Group Gl(n, R) 2006 Dorian Goldfeld
9
+ PDF Zeta Functions of Simple Algebras 1972 Roger Godement
Hervé Jacquet
8
+ PDF Automorphic Forms on GL (2) 1970 H. Jacquet
R. P. Langlands
7
+ Spectral Decomposition and Eisenstein Series 1995 Colette Mœglin
J. L. Waldspurger
6
+ The Theory of the Riemann Zeta-Function 1987 E. C. Titchmarsh
D. R. Heath‐Brown
6
+ ArchimedeanL-factors onGL(n) ×GL(n) and generalized Barnes integrals 2002 Eric Stade
6
+ Topics in Classical Automorphic Forms 1997 Henryk Iwaniec
6
+ PDF On the Functional Equations Satisfied by Eisenstein Series 1976 R. P. Langlands
6
+ PDF Applications of the Kuznetsov formula on GL(3) 2013 Valentin Blomer
5
+ Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series 1956 Atle Selberg
5
+ The Multiplicity One Theorem for GL n 1974 J. A. Shalika
5
+ �ber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlet scher Reihen durch Funktionalgleichungen 1949 Hans Maaß
5
+ Short expressions of permutations as products and cryptanalysis of the Algebraic Eraser 2012 Arkadius Kalka
Mina Teicher
Boaz Tsaban
5
+ Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II 1967 Walter Roelcke
5
+ Introduction to the Arithmetic Theory of Automorphic Functions 1972 Marvin Tretkoff
Goro Shimura
5
+ Rankin-Selberg Convolutions 1983 H. Jacquet
I. I. Piatetskii-Shapiro
J. A. Shalika
5
+ Mean values of L-funtions associated to elliptic, fermat and other curves at the centre of the critical strip 1979 Dorian Goldfeld
Carlo Viola
5
+ PDF Poincaré series and Kloosterman sums for SL(3, Z) 1988 Daniel Bump
Solomon Friedberg
Dorian Goldfeld
4
+ �ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen 1967 Andr� Weil
4
+ PDF Chat Real zeros of quadratic Dirichlet L-functions 2002 J. Brian Conrey
K. Soundararajan
4
+ Mean-Value Theorems in the Theory of the Riemann Zeta-Function 1928 A. E. Ingham
4
+ PDF On the determination of the Plancherel measure for Lebedev–Whittaker transforms on \mathop GL(n) 2012 Dorian Goldfeld
Alex Kontorovich
4
+ On the estimation of Fourier coefficients of modular forms 1965 Atle Selberg
4
+ A property of L-functions on the real line 1980 H. Stärk
Don Zagier
4
+ PDF Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes 1916 G. H. Hardy
J. E. Littlewood
4
+ Fourier coefficients of cusp forms 1978 Roelof W. Bruggeman
4
+ A non-vanishing theorem for zeta functions ofGL n 1976 Herv� Jacquet
J. A. Shalika
4
+ PDF Modular curves and the eisenstein ideal 1977 Barry Mazur
4
+ PDF Chat Low lying zeros of families of L-functions 2000 Henryk Iwaniec
Wenzhi Luo
Peter Sarnak
4
+ On some results of Atkin and Lehner 1973 W. Casselman
4
+ Perspectives on the Analytic Theory of L-Functions 2000 Henryk Iwaniec
Peter Sarnak
4
+ Spectral Theory of the Riemann Zeta-Function 1997 Yoichi Motohashi
4
+ PDF Random Matrices, Frobenius Eigenvalues, and Monodromy 1998 Nicholas M. Katz
Peter Sarnak
4
+ Hecke operators on ?0(m) 1970 A. O. L. Atkin
Joseph Lehner
4
+ Automorphic forms and representations 1997 Daniel Bump
4
+ On Some Exponential Sums 1948 André Weil
4
+ Automorphic Representations and L-Functions for the General Linear Group 2011 Dorian Goldfeld
Joseph Hundley
4
+ Lectures on Modular Functions of One Complex Variable 1983 Hans Maaß
4
+ Functional Equations With Multiple Gamma Factors and the Average Order of Arithmetical Functions 1962 K. Chandrasekharan
Raghavan Narasimhan
4
+ Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series 1985 Dorian Goldfeld
Jeffrey Hoffstein
4
+ Introduction to the spectral theory of automorphic forms 1995 Henryk Iwaniec
4
+ Analytic Proof of the Strong Multiplicity One Theorem 1985 Carlos Moreno
4
+ Coefficients of Maass Forms and the Siegel Zero 1994 Jeffrey Hoffstein
Paul Lockhart
4
+ PDF A new method for lower bounds of L-functions 2004 Stephen Gelbart
Erez Lapid
Peter Sarnak
4
+ Properties of Eisenstein series formed with modular symbols 2000 Cormac O’Sullivan
4
+ Modular Elliptic Curves and Diophantine Problems 1990 Dorian Goldfeld
4
+ PDF On some applications of automorphic forms to number theory 1996 Daniel Bump
Solomon Friedberg
Jeffrey Hoffstein
3
+ PDF A unimodality result in the enumeration of subgroups of a finite abelian group 1987 Lynne M. Butler
3
+ A relation between the Riemann zeta-function and the hyperbolic laplacian 1995 Yoichi Motohashi
3