Simon Spicer

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All published works

Action	Title	Year	Authors
+ PDF Chat	Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks	2016	Jennifer S. Balakrishnan Wei Ho Nathan O. Kaplan Simon Spicer William Stein James Weigandt
+	The Zeros of Elliptic Curve L-functions: Analytic Algorithms with Explicit Time Complexity	2015	Simon Spicer

Common Coauthors

Coauthor	Papers Together
James Weigandt	1
Jennifer S. Balakrishnan	1
William Stein	1
Nathan O. Kaplan	1
Wei Ho	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1	2013	Manjul Bhargava Arul Shankar	2
+ PDF Chat	Conditionally bounding analytic ranks of elliptic curves	2013	Jonathan Bober	2
+ PDF Chat	The Average Analytic Rank of Elliptic Curves	2004	D. R. Heath‐Brown	2
+	The average rank of elliptic curves I	1992	Armand Brumer	2
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	2
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	2
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	1
+	Ring-Theoretic Properties of Certain Hecke Algebras	1995	Richard Taylor Andrew Wiles	1
+ PDF Chat	The behavior of the Mordell-Weil group of elliptic curves	1990	Armand Brumer Francis McGuinness	1
+	Ramanujan's identities for eta-functions	1992	Bruce C. Berndt Liang-Cheng Zhang	1
+	Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q	2001	Christophe Delaunay	1
+	The canonical height and integral points on elliptic curves	1988	Marc Hindry Joseph H. Silverman	1
+	2<sup> <i>n</i> </sup> -descent on elliptic curves for all <i>n</i>	2012	Peter Swinnerton‐Dyer	1
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	1
+ PDF Chat	Some Heuristics about Elliptic Curves	2008	Mark E. Watkins	1
+	On the Birch and Swinnerton-Dyer conjecture	1983	Ralph Greenberg	1
+	Counting elliptic curves with prescribed torsion	2013	Robert Harron Andrew Snowden	1
+ PDF Chat	Average ranks of elliptic curves: Tension between data and conjecture	2007	Baur Bektemirov Barry Mazur William Stein Mark E. Watkins	1
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	1
+ PDF Chat	The complex AGM, periods of elliptic curves over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">C</mml:mi></mml:math> and complex elliptic logarithms	2013	J. E. Cremona Thotsaphon Thongjunthug	1
+	Nouvelles approches du «théorème» de Fermat	1988	Joseph Oesterlé	1
+	Provable computation of motivic L-functions	2010	Robert Bradshaw	1
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	1
+	Formules explicites et minorations de conducteurs de variétés algébriques	1986	Jean-François Mestre	1
+	The Riemann Hypothesis	2007	Peter Borwein Stephen Choi Brendan Rooney Andrea Weirathmueller	1
+ PDF Chat	Number Theory Carbondale 1979	1979	Melvyn B. Nathanson	1
+	INTRODUCTION TO ELLIPTIC CURVES AND MODULAR FORMS (Graduate Texts in Mathematics, 97)	1986	A. J. Scholl	1
+	The Zeros of Elliptic Curve L-functions: Analytic Algorithms with Explicit Time Complexity	2015	Simon Spicer	1
+	Algebraic Number Theory, a Computational Approach	2010	William Stein	1
+	Computing Elliptic Curves over $$\mathbb{Q}$$ : Bad Reduction at One Prime	2017	Michael A. Bennett Andrew Rechnitzer	1
+	Regulators of rank one quadratic twists	2007	Christophe Delaunay Xavier-François Roblot	1
+	Low-lying zeros of families of elliptic curves	2005	Matthew P. Young	1
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow></mml:msup></mml:math>-torsion points in finite abelian groups and combinatorial identities	2014	Christophe Delaunay Frédéric Jouhet	1
+ PDF Chat	Counting elliptic curves with prescribed torsion	2015	Robert Harron Andrew Snowden	1
+ PDF Chat	Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves	2014	Manjul Bhargava Arul Shankar	1
+	Conjectures on elliptic curves over quadratic fields	1979	Dorian Goldfeld	1
+	Random maximal isotropic subspaces and Selmer groups	2011	Bjorn Poonen Eric M. Rains	1
+ PDF Chat	Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves	2015	Manjul Bhargava Daniel M. Kane H. W. Lenstra Bjorn Poonen Eric M. Rains	1
+ PDF Chat	Modular Functions of One Variable IV	1975	B. J. Birch	1
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	1
+ PDF Chat	Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0	2014	Manjul Bhargava Arul Shankar	1
+	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	1
+	A Database of Elliptic Curves — First Report	2002	William Stein Mark E. Watkins	1
+	The average number of elements in the 4-Selmer groups of elliptic curves is 7	2013	Manjul Bhargava Arul Shankar	1
+ PDF Chat	Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over ${\mathbb P}^1$ with Small d	2006	Noam D. Elkies	1
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor	1