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David E. Rohrlich
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All published works
Action
Title
Year
Authors
+
Average Multiplicities
2024
David E. Rohrlich
+
Dihedral Artin representations and CM fields
2024
David E. Rohrlich
+
Quaternionic Artin representations and nontraditional arithmetic statistics
2019
David E. Rohrlich
+
Almost Abelian Artin Representations of Q
2018
David E. Rohrlich
+
Appendix: Ray class characters of bounded order and bounded conductor
2017
David E. Rohrlich
+
A Taniyama Product for the Riemann Zeta Function
2017
David E. Rohrlich
+
Quaternionic Artin representations of ℚ
2016
David E. Rohrlich
+
PDF
Chat
Artin representations of $\mathbb{Q}$ of dihedral type
2015
David E. Rohrlich
+
PDF
Chat
Inductivity of the global root number
2013
David E. Rohrlich
+
Irreducible spaces of modular units
2011
David E. Rohrlich
+
Root numbers
2011
David E. Rohrlich
+
PDF
Chat
Galois invariance of local root numbers
2010
David E. Rohrlich
+
PDF
Chat
Compatible families of elliptic type
2010
David E. Rohrlich
+
Scarcity and abundance of trivial zeros in division towers
2008
David E. Rohrlich
+
PDF
Chat
Root numbers of semistable elliptic curves in division towers
2006
David E. Rohrlich
+
Modular units and the surjectivity of a Galois representation
2004
David E. Rohrlich
+
Galois Representations in Mordell-Weil Groups of Elliptic Curves
2001
David E. Rohrlich
+
A Deformation of the Tate Module
2000
David E. Rohrlich
+
An elementary case of Serre’s conjecture
1997
David E. Rohrlich
Jerrold B. Tunnell
+
Modular Curves, Hecke Correspondences, and L-Functions
1997
David E. Rohrlich
George F. Rohrlich
+
PDF
Chat
Realization of some Galois representations of low degree in Mordell-Weil groups
1997
David E. Rohrlich
+
PDF
Chat
Galois representations in the Tate-Shafarevich group of an elliptic curve
1996
David E. Rohrlich
+
Galois theory, elliptic curves, and root numbers
1996
David E. Rohrlich
+
Elliptic curves and the Weil-Deligne group
1994
David E. Rohrlich
+
Variation of the root number in families of elliptic curves
1993
David E. Rohrlich
+
PDF
Chat
Root numbers of Jacobi-sum Hecke characters
1992
David E. Rohrlich
+
Twists of Hecke L-functions
1992
David E. Rohrlich
+
Nonvanishing of L-functions and structure of Mordell-Weil groups.
1991
David E. Rohrlich
+
Nonvanishing ofL-functions for GL (2)
1989
David E. Rohrlich
+
L-functions and division towers
1988
David E. Rohrlich
+
Jacobi sums and explicit reciprocity laws
1986
David E. Rohrlich
+
PDF
Chat
Weierstrass points and modular forms
1985
David E. Rohrlich
+
OnL-functions of elliptic curves and cyclotomic towers
1984
David E. Rohrlich
+
OnL-functions of elliptic curves and anticyclotomic towers
1984
David E. Rohrlich
+
<i>Lectures on the Theory of Algebraic Numbers</i>. By Erich Hecke
1984
David E. Rohrlich
+
PDF
Chat
Lectures on the Theory of Algebraic Numbers.
1984
David E. Rohrlich
E. Hecke
+
A modular version of Jensen's formula
1984
David E. Rohrlich
+
Courbes elliptiques, fonctions L , et tours cyclotomiques.
1984
David E. Rohrlich
+
On the L-functions of canonical Hecke characters of imaginary quadratic fields, II
1982
Hugh L. Montgomery
David E. Rohrlich
+
Root Numbers of Hecke L-Functions of CM Fields
1982
David E. Rohrlich
+
Elliptic Curves with Good Reduction Everywhere
1982
David E. Rohrlich
+
Some Remarks on Weierstrass Points
1982
David E. Rohrlich
+
Galois conjugacy of unramified twists of Hecke characters
1980
David E. Rohrlich
+
On the L-functions of canonical Hecke characters of imaginary quadratic fields
1980
David E. Rohrlich
+
The non-vanishing of certain Hecke L-functions at the center of the critical strip
1980
David E. Rohrlich
+
PDF
Chat
Simple Factors in the Jacobian of a Fermat Curve
1978
Neal Koblitz
David E. Rohrlich
+
Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
1978
Benedict H. Gross
David E. Rohrlich
+
Points at infinity on the Fermat curves
1977
David E. Rohrlich
Common Coauthors
Coauthor
Papers Together
Jerrold B. Tunnell
1
George F. Rohrlich
1
Benedict H. Gross
1
Neal Koblitz
1
Hugh L. Montgomery
1
E. Hecke
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
On the periods of modular forms
1977
Goro Shimura
6
+
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
1981
Karl Rubin
5
+
Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques
1971
Jean-Pierre Serre
5
+
PDF
Chat
Artin representations of $\mathbb{Q}$ of dihedral type
2015
David E. Rohrlich
4
+
The special values of the zeta functions associated with cusp forms
2002
Goro Shimura
4
+
Root Numbers of Hecke L-Functions of CM Fields
1982
David E. Rohrlich
4
+
The Average Measure of Quadratic Forms With Given Determinant and Signature
1944
Carl Ludwig Siegel
4
+
Introduction to the Arithmetic Theory of Automorphic Functions
1972
Marvin Tretkoff
Goro Shimura
4
+
Good Reduction of Abelian Varieties
1968
Jean-Pierre Serre
John Tate
4
+
PDF
Chat
Arithmetic on Elliptic Curves with Complex Multiplication
1980
Benedict H. Gross
4
+
Elliptic curves and the Weil-Deligne group
1994
David E. Rohrlich
4
+
Linear Representations of Finite Groups
1977
Jean-Pierre Serre
3
+
Newforms and functional equations
1975
Wen Ch ing Winnie Li
3
+
On the functional equation of the ArtinL-function for characters of real representations
1973
A. Fröhlich
Jacques Queyrut
3
+
The non-vanishing of certain Hecke L-functions at the center of the critical strip
1980
David E. Rohrlich
3
+
PDF
Chat
Über die Classenzahl quadratischer Zahlkörper
1935
Carl Ludwig Siegel
3
+
Galois theory, elliptic curves, and root numbers
1996
David E. Rohrlich
3
+
On the Birch and Swinnerton-Dyer conjecture
1983
Ralph Greenberg
3
+
On Character Sums and <i>L</i> -Series. II
1963
D. A. Burgess
3
+
Hecke operators on ?0(m)
1970
A. O. L. Atkin
Joseph Lehner
3
+
Rational points of abelian varieties with values in towers of number fields
1972
Barry Mazur
3
+
Algebraic Number Theory
1994
Serge Lang
3
+
PDF
Chat
Artin's primitive root conjecture and a problem of Rohrlich
2014
Christopher Daniel Ambrose
2
+
Kroneckerian Model of Fields of Elliptic Modular Functions
1959
Jun-ichi Igusa
2
+
PDF
Chat
Realization of some Galois representations of low degree in Mordell-Weil groups
1997
David E. Rohrlich
2
+
The <i>p</i> ‐adic generalization of the Thue‐Siegel‐Roth theorem
1958
David Ridout
2
+
Polynomials with galois group psl(2,7)
1980
Samuel LaMacchia
2
+
Rational approximations to algebraic numbers
1955
K. F. Roth
2
+
Two theorems on modular curves
1973
Vladimir Drinfeld
2
+
The Conjectures of Birch and Swinnerton-Dyer, and of Tate
1967
Peter Swinnerton‐Dyer
2
+
ELLIPTIC CURVES OF INFINITE RANK OVER Γ-EXTENSIONS
1973
P F Kurčanov
2
+
PDF
Chat
The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication
2005
John Coates
Takako Fukaya
Kazuya Katô
R. Sujatha
Otmar Venjakob
2
+
Analytic Number Theory
2004
Paul T. Bateman
Harold G. Diamond
2
+
On Automorphic Forms on GL 2 and Hecke Operators
1971
Toshitsune Miyake
2
+
PDF
Chat
Construction of elliptic curves with high rank via the invariants of the Weyl groups
1991
Tetsuji Shioda
2
+
Congruences for special values ofL-functions of elliptic curves with complex multiplication
1983
Karl Rubin
2
+
On some results of Atkin and Lehner
1973
W. Casselman
2
+
PDF
Chat
Maillet’s determinant
1955
L. Carlitz
F. R. Olson
2
+
Abelian l-Adic Representations and Elliptic Curves
1997
Jean-Pierre Serre
2
+
Galois conjugacy of unramified twists of Hecke characters
1980
David E. Rohrlich
2
+
Characters of finite groups
1965
Walter Feit
2
+
PDF
Chat
Twisted Hasse-Weil <i>L</i>-Functions and the Rank of Mordell-Weil Groups
1997
Lawrence J. Howe
2
+
PDF
Chat
On certain ray class invariants of real quadratic fields
1978
Takuro Shintani
2
+
An Asymptotic Formula in the Theory of Numbers
1957
C. Hooley
2
+
Representation Theory: A First Course
1991
William Fulton
2
+
PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES
1972
Ju I Manin
2
+
V. The Zeta Function of an Abelian Variety with Complex Multiplication
1998
Goro Shimura
2
+
Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series
1985
Dorian Goldfeld
Jeffrey Hoffstein
2
+
OnL-functions of elliptic curves and cyclotomic towers
1984
David E. Rohrlich
2
+
Les constantes locales de l'�quation fonctionnelle de la fonctionL d'Artin d'une repr�sentation orthogonale
1976
Pierre Deligne
2