Selected Publications of Dorian Goldfeld
The functional equation of Langlands
Eisenstein series for SL(n,Z) (with E. Stade
and M. Woodbury) pdf
The
shifted convolution Lfunction (with G.
Hinkle and J. Hoffstein, 2023) arxiv
The cubic Pell equation Lfunction (with G.
Hinkle, 2023) arxiv
The first coefficient of Langlands Eisenstein series (with
E. Stade and M. Woodbury, 2023) pdf
An
asymptotic orthogonality relation for GL(n,R),
(with E. Stade and M. Woodbury, 2023) pdf
Number
theoretical locally recoverable codes, (with G.
Micheli and A. Ferraguti, 2022) pdf
Automorphic representations and
Lfunctions for GL(n), (with H. Jacquet, 2021)
pdf
A template method for Fourier coefficients of
Langlands Eisenstein series, (with S.
Miller and M. Woodbury, 2020) arxiv
An orthogonality relation for GL(4,R),
(with E. Stade and M. Woodbury, 2020) arxiv
The algebraic theory of fractional jumps, (with G.
Micheli, 2019) arxiv
Superpositivity of a family of Lfunctions in the
level aspect, (with B. Huang, 2018)
arxiv
Superpositivity of a family of Lfunctions,
(with B. Huang, 2017) arxiv
A standard zero free region for RankinSelberg
Lfunctions, (with X. Li, 2016) arxiv
An additive
prime divisor function of Alladi and ErdÅ‘s,
(2016) arxiv
A converse theorem for double Dirichlet series and
Shintani zeta functions, (with N. Diamantis,
2016) pdf
First moments of Fourier coefficients of GL(r)
cusp forms, (with J.
Sengupta, 2016) pdf
On the GL(3) Kuznetsov formula with applications to
symmetry types of families of Lfunctions,
(with A. Kontorovich, 2012) arxiv
On
the determination of the Plancherel measure for
LebedevWhittaker transforms on GL(n), (with A. Kontorovich, 2011)
arxiv
Fourier expansions of GL(2) newforms at various cusps,
(with J. Hundley and M. Lee, 2010) arxiv
Natural boundaries and the correct notion of integral
moments of Lfunctions, (with A. Diaconu and
P. Garrett, 2009) pdf
Moments for Lfunctions for GL(r) x GL(r1),
(with A. Diaconu and P. Garrett, 2009)
pdf
The Voronoi formula for GL(n, r), (with X.
Li, 2009) pdf
Rank lowering linear maps and multiple
Dirichlet series associated to GL(n,R), (with
M. Thillainasetan 2006) pdf
Voronoi Formulas on GL(n),
(with X. Li, 2006) pdf
Second
Moments of GL(2) LFunctions, (with A. Diaconu, 2006)
pdf
Counting Primes, Groups and Manifolds, (with A.
Lubotzky, N. Nikolov, L. Pyber, 2004) pdf
Modular Forms, Elliptic Curves, and the ABC Conjecture,
(2003) pdf
The Elementary proof of the Prime Number Theorem,
An Historical Perspective, (2003) pdf
The Gauss Class Number problem for Imaginary Quadratic
Fields, (2003) pdf
Counting Congruence Subgroups, (with A.
Lubotzky and L. Pyber, 2002) pdf
Multiple Dirichlet series and moments of zeta and
Lfunctions, (with A. Diaconu and J.
Hoffstein, 2001) arxiv
Estimating additive character sums for Fuchsian groups,
(with C. O'Sullivan, 2001) pdf
Eisenstein series twisted by modular symbols for the
group SL(n), (with P. Gunnells, 2000) arxiv
Grossencharakter Lfunctions of real quadratic
fields twisted by modular symbols, (with G. Chinta, 2001) pdf
The holomorphic kernel of the RankinSelberg
convolution, (with S.W. Zhang, 2000) pdf
The distribution of modular symbols, (1999)
pdf
Zeta functions formed with modular symbols, (1999) pdf
Zeta
functions, oneway functions, and pseudorandom
number generators, (with M.
Anshel, 1997) pdf
Effective
bounds on the size of the TateShafarevich group,
(with D. Lieman, 1996)
pdf
Beyond the Last Theorem, (1996)
pdf
Bounds for the order of the TateShafarevich group,
(with L. Szpiro, 1995) pdf
Special values of the derivatives of
Lfunctions, (1995) pdf
Parametrization of modular elliptic curves by Poincare
series, (1995) pdf
Coefficients of Maass Forms and the Siegel Zero
(with an Appendix by Dorian Goldfeld, Jeffrey Hoffstein,
and Daniel Lieman, 1994 pdf
pdf
On the number of Fourier coefficients that determine a
modular form, (with J. Hoffstein, 1993) pdf
Mellin transforms of Whittaker functions,
(with S. Friedberg, 1993) pdf
On the computational complexity of modular symbols,
(1992) pdf
Egyptian Fractions, and Free Products of Finite Abelian
Groups, (with M. Anshel,
1991) pdf
Modular elliptic curves and Diophantine
problems, (1990)
pdf
Applications of the HardyRamanujan partition
theory to linear Diophantine problems, (with
M. Anshel 1988) pdf
Poincare series and Kloosterman sums for SL(3,Z),
(with D. Bump, S. Friedberg, 1988) pdf
Kloosterman zeta functions for GL(n, R),
(ICM, Berkeley 1986) pdf
Gauss' Class Number problem for Imaginary Quadratic
Fields, (1985)
pdf
Eisenstein series of 1/2integral weight and the mean
value of real quadratic Lseries,
(with J. Hoffstein, 1985) pdf
A Kronecker
limit formula for cubic fields, (with
D. Bump. 1984) pdf
Sums of Kloosterman Sums, (with P. Sarnak, 1983) pdf
Some conjectures on elliptic curves over
cyclotomic fields, (with
C. Viola, 1983) pdf
Sur les produits partiel euleriens attaches aux courbes
elliptiques, (1982) pdf
On automorphic functions of halfintegral weight with
applications to elliptic curves, (with J.
Hoffstein, S.J. Patterson, 1982) pdf
Analytic and arithmetic theory of Poincare series, (1979) pdf
Conjectures on elliptic curves over
quadratic fields, (1979) pdf
An analogue of the class number one problem,
Appendix to the paper: Rational isogenies of
prime degree, by B. Mazur, (with B. Mazur 1978)
pdf
The conjectures of Birch and SwinnertonDyer and
the class numbers of quadratic fields, (1977) pdf
The class number of quadratic fields and
the conjectures of Birch and SwinnertonDyer,
(1976) pdf
A remark on certain Hecke Lseries which are
nonnegative on the real axis,
(with S. Chowla, 1976) pdf
A further improvement of the
BrunTitchmarsh theorem, (1975) pdf
On Siegel's zero, (with
A. Schinzel, 1975) pdf
An asymptotic formula relating the Siegel zero and the
class number of quadratic fields,
(1975) pdf
A simple proof of Siegel's theorem, (1974) pdf
A large sieve for a class of
nonabelian Lfunctions, (1973) pdf
On the number of primes p for which p+a
has a large prime factor, (1969) pdf
Artin's conjecture on the average (My Ph.D. thesis,
1968) pdf
