Dorian M. Goldfeld | Academic Influence

Dorian M. Goldfeld's AcademicInfluence.com Rankings

Dorian M. Goldfeld

Mathematics

#1512

World Rank

#2464

Historical Rank

#618

USA Rank

Measure Theory

#2729

World Rank

#3260

Historical Rank

#786

USA Rank

mathematics Degrees

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Mathematics

Dorian M. Goldfeld's Degrees

PhD Mathematics Princeton University

Why Is Dorian M. Goldfeld Influential?

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According to Wikipedia, Dorian Morris Goldfeld is an American mathematician working in analytic number theory and automorphic forms at Columbia University. Professional career Goldfeld received his B.S. degree in 1967 from Columbia University. His doctoral dissertation, entitled "Some Methods of Averaging in the Analytical Theory of Numbers", was completed under the supervision of Patrick X. Gallagher in 1969, also at Columbia. He has held positions at the University of California at Berkeley , Hebrew University , Tel Aviv University , Institute for Advanced Study , in Italy , at MIT , University of Texas at Austin and Harvard . Since 1985, he has been a professor at Columbia University.

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Dorian M. Goldfeld's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Rational isogenies of prime degree (1978) (662)
An algebraic method for public-key cryptography (1999) (394)
Automorphic Forms and L-Functions for the Group Gl(n, R) (2006) (293)
Conjectures on elliptic curves over quadratic fields (1979) (203)
Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series (1985) (165)
Multiple Dirichlet Series and Moments of Zeta and L-Functions (2001) (155)
Sums of Kloosterman sums (1983) (132)
Automorphic Representations and L-Functions for the General Linear Group (2011) (117)
New Key Agreement Protocols in Braid Group Cryptography (2001) (113)
Gauss’ class number problem for imaginary quadratic fields (1985) (110)
The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer (1976) (103)
Topics in Number theory (2010) (68)
Voronoi formulas on GL(n) (2006) (67)
Poincaré series and Kloosterman sums for SL(3, Z) (1988) (66)
Bounds for the order of the Tate-Shafarevich group (1995) (60)
The Elementary Proof of the Prime Number Theorem: An Historical Perspective (2004) (58)
Mean values of L-funtions associated to elliptic, fermat and other curves at the centre of the critical strip☆ (1979) (50)
Appendix: An Effective Zero-Free Region (1994) (50)
Multiple Dirichlet series, L-functions and automorphic forms (2012) (46)
Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld (2006) (43)
The Voronoi Formula for GL(n, ℝ) (2010) (42)
A Simple Proof of Siegel's Theorem. (1974) (40)
The distribution of modular symbols (1999) (39)
Zeta functions formed with modular symbols (1996) (38)
On Automorphic Functions of Half-Integral Weight with Applications to Elliptic Curves (1982) (38)
Explicit Formulas for Regularized Products and Series (1994) (32)
On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions (2012) (32)
On Siegel's zero (1975) (27)
Zeta functions, one-way functions, and pseudorandom number generators (1997) (23)
On the Determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n) (2011) (23)
Modular Elliptic Curves and Diophantine Problems (1990) (22)
Estimating Additive Character Sums for Fuchsian Groups (2003) (19)
Counting congruence subgroups (2004) (19)
An asymptotic formula relating the Siegel zero and the class number of quadratic fields (1975) (19)
Non-abelian key agreement protocols (2003) (18)
Algebraic Methods in Cryptography (2006) (17)
Mellin transforms of Whittaker functions (1993) (15)
Number Theory, Analysis and Geometry: In Memory of Serge Lang (2012) (15)
Counting primes, groups, and manifolds. (2004) (14)
Effective bounds on the size of the Tate-Shafarevich group (1996) (14)
Grössencharakter L-functions of real quadratic fields twisted by modular symbols (2000) (14)
An orthogonality relation for GL(4,R) (2019) (14)
A standard zero free region for Rankin-Selberg L-functions (2016) (13)
A spectral interpretation of Weil's explicit formula (1994) (13)
Beyond the Last Theorem (1996) (13)
Higher Mathematics From An Elementary Point Of View (1983) (13)
SECOND MOMENTS OF GL2 AUTOMORPHIC L–FUNCTIONS (2006) (13)
On the Kontorovich-Lebedev Transform (2011) (12)
The holomorphic kernel of the Rankin–Selberg convolution (2002) (12)
A Panorama in Number Theory or The View from Baker's Garden: Modular Forms, Elliptic Curves and the ABC -Conjecture (2002) (12)
Fourier expansions of GL(2) newforms at various cusps (2010) (11)
Second moments of quadratic Hecke L-series and multiple Dirichlet series I (2005) (11)
Defeating the Kalka--Teicher--Tsaban linear algebra attack on the Algebraic Eraser (2012) (11)
WalnutDSA(TM): A Quantum Resistant Group Theoretic Digital Signature Algorithm (2017) (10)
On convolutions of non-holomorphic Eisenstein series (1981) (9)
A converse theorem for double Dirichlet series (2011) (9)
A class of hash functions based on the algebraic eraser™ (2016) (9)
Moments for L-functions for GLr×GLr-1 (2012) (8)
Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser (2016) (8)
First moments of Fourier coefficients of GL(r) cusp forms (2016) (8)
Explicit Formulae as Trace Formulae (1989) (8)
Eisenstein Series Twisted by Modular Symbols for the Group SLn (2000) (8)
WALNUTDSA: A QUANTUM-RESISTANT DIGITAL SIGNATURE ALGORITHM (2017) (7)
On the computational complexity of modular symbols (1992) (7)
A converse theorem for double Dirichlet series and Shintani zeta functions (2014) (7)
A Further Improvement of the Brun‐Titchmarsh Theorem (1975) (6)
A Linear Time Matrix Key Agreement Protocol Over Small Finite Fields (2006) (6)
Addressing the Algebraic Eraser Diffie-Hellman Over-the-Air Protocol (2016) (6)
Analytic Number Theory on GL(r,R) (1987) (6)
Unitary representations of GL(2) (2011) (6)
Automorphic Forms and L-Functions for the Group GL ( n , R): References (2006) (5)
Kayawood, a Key Agreement Protocol (2017) (5)
Super-positivity of a family of L-functions in the level aspect (2016) (4)
On an additive prime divisor function of Alladi and Erdos (2016) (4)
Langlands Eisenstein series (2006) (4)
Hickory Hash(TM): Implementing an Instance of an Algebraic Eraser(TM) Hash Function on an MSP430 Microcontroller (2016) (4)
WalnutDSA™: a group theoretic digital signature algorithm (2020) (4)
Rank Lowering Linear Maps and Multiple Dirichlet Series Associated to GL(n,R) (2006) (3)
Analytic and arithmetic theory of Poincaré series (2019) (3)
Analytic and arithmetic theory of Poincaré series (2019) (3)
A template method for Fourier coefficients of Langlands Eisenstein series (2020) (3)
Ironwood Meta Key Agreement and Authentication Protocol (2017) (3)
Computational aspects of maass forms for sl(3, z ) (2008) (3)
Natural boundaries and integral moments of L-functions (2012) (2)
NATURAL BOUNDARIES AND THE CORRECT NOTION OF INTEGRAL MOMENTS OF L–FUNCTIONS (2009) (2)
POST QUANTUM GROUP THEORETIC CRYPTOGRAPHY (2016) (2)
Some conjectures on elliptic curves over cyclotomic fields (1983) (2)
Defeating the Hart et al, Beullens-Blackburn, Kotov-Menshov-Ushakov, and Merz-Petit Attacks on WalnutDSA(TM) (2019) (2)
Automorphic Representations and L-Functions for the General Linear Group: Automorphic forms and representations for GL ( n , Aℚ) (2011) (2)
Number Theory, Analysis and Geometry (2012) (2)
Automorphic Representations and L-Functions for the General Linear Group: The contragredient representation for GL (2) (2011) (2)
Heegner Points and Rankin L -Series: The Gauss Class Number Problem for Imaginary Quadratic Fields (2004) (1)
The conjectures of Birch and Swinnerton-Dyer and the class numbers of quadratic fields (2019) (1)
Automorphic Forms and L-Functions for the Group GL ( n , R): Existence of Maass forms (2006) (1)
Automorphic forms for GL(2, Aℚ) (2011) (1)
Defeating the Hart, Kim, Micheli, Pascuel-Perez, Petit, Quek Attack on WalnutDSA(TM) (2019) (1)
Partitions, Egyptian fractions, and free products of finite abelian groups (1991) (1)
Automorphic Forms and L-Functions for the Group GL ( n , R): The Gelbart–Jacquet lift (2006) (1)
Super-positivity of a family of L-functions in the level aspect (2018) (1)
Automorphic Representations and L-Functions for the General Linear Group: Automorphic representations and L-functions for GL (1, Aℚ) (2011) (1)
Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey (2017) (1)
Algebraic Methods in Cryptography (Contemporary Mathematics, V. 418) (2006) (1)
Book Review: Non-vanishing of L-functions and applications (1999) (1)
Alexander Smith Wins the First David Goss Prize in Number Theory (2019) (1)
Automorphic Representations and L-Functions for the General Linear Group: Introduction (2011) (0)
A remark on certain Hecke L-series which are non-negative on the real axis (1976) (0)
DEFEATING THE BUELLENS-BLACKBURN ATTACKS ON WALNUTDSA (2019) (0)
A group theoretic approach to public-key cryptography (2000) (0)
Analytic Number Theory and its Applications: A Conference in Honor of Jeff Hoffstein (2014) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Automorphic forms and L-functions for SL (3, ℤ) (2006) (0)
RANK LOWERING OPERATORS ON GL(n, ℝ) (2007) (0)
The Algebraic Theory of Fractional Jumps (2019) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): The Godement–Jacquet L-function (2006) (0)
Automorphic Representations and L-Functions for the General Linear Group: The Godement-Jacquet L-function for GL (2, Aℚ) (2011) (0)
Theory of admissible (g, K∞) modules for GL(2, ℝ) (2011) (0)
TRACE FORMULAE FOR SL(2,R) (2021) (0)
Collected works of Hervé Jacquet (2011) (0)
Lucien Szpiro (1941–2020) (2021) (0)
Automorphic Representations and L-Functions for GL(n) (2021) (0)
CONVERSE THEOREM FOR DOUBLE DIRICHLET SERIES 3 2 (2011) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Automorphic forms and L–functions for SL (2, ℤ) (2006) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Invariant differential operators (2006) (0)
Fourier expansions of GL(2) newforms at various cusps (2013) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Poincaré series and Kloosterman sums (2006) (0)
ACTIONS, COMMUTATOR IDENTITIES, AND THE ALGEBRAIC ERASER™ (2008) (0)
DEFEATING THE MERZ–PETIT ATTACK ON WALNUTDSA (2019) (0)
The cubic Pell equation L-function (2022) (0)
Calculus : a computer algebra approach : solutions manual (1996) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Langlands conjectures (2006) (0)
Applied Mathematics (2019) (0)
Counting congruence subroups (2004) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Discrete group actions (2006) (0)
An Asymptotic Orthogonality Relation for ${\rm GL}(n, \mathbb R)$ (2022) (0)
An orthogonality relation for $\mathrm {GL}(4, \mathbb R) $ (with an appendix by Bingrong Huang) (2021) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Maass forms and Whittaker functions for SL ( n ,ℤ) (2006) (0)
The Godement-Jacquet L-function for GL(2, Aℚ) (2011) (0)
Automorphic Representations and L-Functions for the General Linear Group: Solutions to Selected Exercises (2011) (0)
Automorphic representations for GL(2, Aℚ) (2011) (0)
Automorphic Representations and L-Functions for the General Linear Group: The classical theory of automorphic forms for GL ( n , ℝ) (2011) (0)
Tensor products of local representations (2011) (0)
Number Theoretical Locally Recoverable Codes (2023) (0)
On Dirichlet series with identical beginnings (1975) (0)
DEFEATING THE KOTOV, MENSHOV, USHAKOV ATTACK ON WALNUTDSA (2019) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Bounds for L-functions and Siegel zeros (2006) (0)
Automorphic Forms and L-Functions for the Group GL ( n , R): Rankin–Selberg convolutions (2006) (0)
Automorphic Representations and L-Functions for the General Linear Group: Theory of admissible representations of GL (2, ℚ p ) (2011) (0)
Adeles over ℚ (2011) (0)
APPLICATIONS OF THE HARDY-RAMANUJAN PARTITION THEORY TO LINEAR DIOPHANTINE PROBLEMS by (2021) (0)
Automorphic Representations and L-Functions for the General Linear Group: Theory of local representations for GL(n) (2011) (0)
The first coefficient of Langlands Eisenstein series for $\hbox{SL}(n,\mathbb Z)$ (2023) (0)

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