Stephen Robert Donnelly

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All published works

Action	Title	Year	Authors
+ PDF Chat	Ranks of quadratic twists of elliptic curves	2015	Mark E. Watkins Stephen Robert Donnelly Noam D. Elkies Tom Fisher Andrew Granville Nicholas F. Rogers
+	Finding elements of given order in Tate-Shafarevich groups of elliptic curves	2003	Stephen Robert Donnelly

Common Coauthors

Coauthor	Papers Together
Andrew Granville	1
Tom Fisher	1
Noam D. Elkies	1
Nicholas F. Rogers	1
Mark E. Watkins	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	How to do a 𝑝-descent on an elliptic curve	2003	Edward F. Schaefer Michael Stoll	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	1
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen	1
+ PDF Chat	High rank elliptic curves with torsion group $\mathbb {Z}/(2\mathbb {Z})$	2003	Julián Aguirre Fernando Casas Castañeda Juan Carlos Peral	1
+	Continued fractions and Parallel SQUFOF	2006	Stephen S. McMath F. Crabbe David Joyner	1
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	1
+	Non-vanishing of Dirichlet L-functions at the Central Point	2008	Sami Omar	1
+ PDF Chat	Isogenies, rational points and section points of group varieties	1960	Taira Honda	1
+ PDF Chat	None	1997	C. S. Rajan	1
+ PDF Chat	Elliptic Curves x 3 + y 3 = k of High Rank	2004	Noam D. Elkies Nicholas F. Rogers	1
+ PDF Chat	On Tate-Shafarevich groups of some elliptic curves	2012	Franz Lemmermeyer	1
+	Arithmetic on Curves of genus 1. VI. The Tate-Safarevic group can be arbitrarily large.	1964	J. W. S. Cassels	1
+	None	1999	Siman Wong	1
+	On the frequency of vanishing of quadratic twists of modular L-functions	2000	JB Conrey JP Keating MO Rubinstein N C Snaith	1
+	Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.	1962	J. W. S. Cassels	1
+	Fourier Transforms in the Complex Domain	1934	N. Wiener R. E. A. C. Paley	1
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	1
+ PDF Chat	Partial Euler Products on the Critical Line	2005	Keith Conrad	1
+	The average rank of elliptic curves I	1992	Armand Brumer	1
+ PDF Chat	Rank Computations for the Congruent Number Elliptic Curves	2000	Nicholas F. Rogers	1
+ PDF Chat	Elliptic Curves of High Rank and the Riemann Zeta Function on the One Line	2013	Michael Rubinstein	1
+	Second descents for elliptic curves	1998	J. W. S. Cassels	1
+ PDF Chat	Visualizing Elements in the Shafarevich—Tate Group	2000	J. E. Cremona Barry Mazur	1
+ PDF Chat	The square-free sieve and the rank of elliptic curves	1991	Fernando Gouvêa Barry Mazur	1
+ PDF Chat	Ranks of Elliptic Curves in Families of Quadratic Twists	2000	Karl Rubin Alice Silverberg	1
+ PDF Chat	Rank Frequencies for Quadratic Twists of Elliptic Curves	2001	Karl Rubin Alice Silverberg	1
+ PDF Chat	Ranks of elliptic curves	2002	Karl Rubin Alice Silverberg	1
+ PDF Chat	Artin's Conjecture, Turing's Method, and the Riemann Hypothesis	2006	Andrew R. Booker	1
+ PDF Chat	Hyperbolic and Diophantine analysis	1986	Serge Lang	1
+	Elements of class groups and Shafarevich-Tate groups of elliptic curves	2003	Antal Balog Ken Ono	1
+	Selmer groups of elliptic curves that can be arbitrarily large	2003	Remke Kloosterman Edward F. Schaefer	1
+ PDF Chat	A note on integral points on elliptic curves	2006	Mark E. Watkins	1
+	ON FUNCTIONAL EQUATIONS OF DIRICHLET FUNCTIONS	1967	A. F. Lavrik	1
+ PDF Chat	Square form factorization	2007	Jason E. Gower Samuel S. Wagstaff	1
+	5-Torsion in the Shafarevich–Tate Group of a Family of Elliptic Curves	2000	Cheryl DeLorme Beaver	1
+ PDF Chat	Elliptic curves with large Tate-Shafarevich groups over a number field	2009	Kazuo Matsuno	1
+ PDF Chat	Some examples of 5 and 7 descent for elliptic curves over Q	2001	Tom Fisher	1
+ PDF Chat	The size of Selmer groups for the congruent number problem	1993	D. R. Heath‐Brown	1
+	SUMMATION FORMULAE AND SELF-RECIPROCAL FUNCTIONS (II)	1939	A. P. Guinand	1
+	The rank of elliptic curves	1977	Armand Brumer Kenneth Kramer	1
+ PDF Chat	Examples of elliptic curves over $Q$ with rank $ \geqq 17$	1992	Koh-ichi Nagao	1
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	1
+	Nonvanishing of quadratic twists of modular L-functions and applications to elliptic curves	2001	Ken Ono	1
+ PDF Chat	Elliptic Curves of Large Rank and Small Conductor	2004	Noam D. Elkies Mark E. Watkins	1
+ PDF Chat	Elliptic Curves with Large Rank over Function Fields	2002	Douglas Ulmer	1
+ PDF Chat	On elliptic curves and random matrix theory	2008	Mark E. Watkins	1
+	Advanced Topics in Computional Number Theory	2000	Henri Cohen	1
+	Elliptic curves of high rank and the Riemann zeta function	2013	Michael Rubinstein	1
+ PDF Chat	The maximum size of L-functions	2007	David W. Farmer S. M. Gonek C. P. Hughes	1
+ PDF Chat	Conditionally bounding analytic ranks of elliptic curves	2013	Jonathan Bober	1