Sander R. Dahmen

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All published works

Action	Title	Year	Authors
+	Certifying Rings of Integers in Number Fields	2025	Anne Baanen Alain Chavarri Villarello Sander R. Dahmen
+ PDF Chat	Certifying rings of integers in number fields	2024	Anne Baanen Alain Chavarri Villarello Sander R. Dahmen
+	Formalized Class Group Computations and Integral Points on Mordell Elliptic Curves	2023	Anne Baanen Alex J. Best Nirvana Coppola Sander R. Dahmen
+	Explicitly bounding perfect powers in elliptic divisibility sequences	2023	Sander R. Dahmen Joey M. van Langen
+ PDF Chat	A Formalization of Dedekind Domains and Class Groups of Global Fields	2022	Anne Baanen Sander R. Dahmen Ashvni Narayanan Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio
+	Formalized Class Group Computations and Integral Points on Mordell Elliptic Curves	2022	Anne Baanen Alex J. Best Nirvana Coppola Sander R. Dahmen
+	Formalizing the solution to the cap set problem	2019	Sander R. Dahmen Johannes Hölzl Robert Y. Lewis
+	Formalizing the Solution to the Cap Set Problem	2019	Sander R. Dahmen Johannes Hölzl Robert Y. Lewis
+	Andrew Wiles en de Abelprijs	2017	Sander R. Dahmen Arno Kret
+ PDF Chat	Shifted powers in binary recurrence sequences	2015	Michael A. Bennett Sander R. Dahmen Maurice Mignotte Samir Siksek
+	Generalized Fermat equations: A miscellany	2014	Michael A. Bennett Imin Chen Sander R. Dahmen Soroosh Yazdani
+ PDF Chat	On the equation a<sup>3</sup>+ b<sup>3n</sup>= c<sup>2</sup>	2014	Michael A. Bennett Imin Chen Sander R. Dahmen Soroosh Yazdani
+ PDF Chat	Perfect powers expressible as sums of two fifth or seventh powers	2014	Sander R. Dahmen Samir Siksek
+	Perfect powers expressible as sums of two fifth or seventh powers	2013	Sander R. Dahmen Samir Siksek
+ PDF Chat	Klein forms and the generalized superelliptic equation	2013	Michael A. Bennett Sander R. Dahmen
+	Perfect powers expressible as sums of two fifth or seventh powers	2013	Sander R. Dahmen Samir Siksek
+ PDF Chat	Level Lowering Modulo Prime Powers and Twisted Fermat Equations	2011	Sander R. Dahmen Soroosh Yazdani
+ PDF Chat	On the residue class distribution of the number of prime divisors of an integer	2011	Michael James Coons Sander R. Dahmen
+ PDF Chat	On the residue class distribution of the number of prime divisors of an integer	2011	Michael James Coons Sander R. Dahmen
+ PDF Chat	A REFINED MODULAR APPROACH TO THE DIOPHANTINE EQUATION x<sup>2</sup> + y<sup>2n</sup> = z<sup>3</sup>	2011	Sander R. Dahmen
+	A refined modular approach to the Diophantine equation $x^2+y^{2n}=z^3$	2010	Sander R. Dahmen
+ PDF Chat	Visualizing elements of Sha[3] in genus 2 jacobians	2010	Nils Bruin Sander R. Dahmen
+ PDF Chat	Visualizing Elements of Sha[3] in Genus 2 Jacobians	2010	Nils Bruin Sander R. Dahmen
+	A refined modular approach to the Diophantine equation $x^2+y^{2n}=z^3$	2010	Sander R. Dahmen
+	On the residue class distribution of the number of prime divisors of an integer	2009	Michael James Coons Sander R. Dahmen
+	Classical and modular methods applied to Diophantine equations	2008	Sander R. Dahmen
+	Lower bounds for numbers of ABC-hits	2007	Sander R. Dahmen
+ PDF Chat	Counting integral Lamé equations by means of dessins d’enfants	2006	Sander R. Dahmen
+	Counting Integral Lamé Equations by Means of Dessins d'Enfants	2003	Sander R. Dahmen

Common Coauthors

Coauthor	Papers Together
Anne Baanen	5
Samir Siksek	4
Michael A. Bennett	4
Soroosh Yazdani	3
Michael James Coons	3
Alex J. Best	2
Johannes Hölzl	2
Nirvana Coppola	2
Robert Y. Lewis	2
Alain Chavarri Villarello	2
Nils Bruin	2
Imin Chen	2
Maurice Mignotte	1
Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio	1
Ashvni Narayanan	1
Joey M. van Langen	1
Arno Kret	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	9
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	8
+	Classical and modular methods applied to Diophantine equations	2008	Sander R. Dahmen	7
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor	6
+ PDF Chat	Winding quotients and some variants of Fermat's Last Theorem.	1997	Henri Darmon	6
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	6
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	5
+	Ring-Theoretic Properties of Certain Hecke Algebras	1995	Richard Taylor Andrew Wiles	5
+ PDF Chat	Perfect powers expressible as sums of two cubes	2009	Imin Chen Samir Siksek	5
+ PDF Chat	Twists of X(7) and primitive solutions to x2+y3=z7	2007	Bjorn Poonen Edward F. Schaefer Michael Stoll	5
+ PDF Chat	Ternary Diophantine Equations via Galois Representations and Modular Forms	2004	Michael A. Bennett Chris M. Skinner	5
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	4
+	Faltings plus epsilon, Wiles plus epsilon, and the Generalized Fermat Equation	2007	Henri Darmon	4
+ PDF Chat	Modular Forms, a Computational Approach	2007	William Stein	3
+	Bounding the number of rational points on certain curves of high rank	2001	Joseph L. Wetherell	3
+	Chabauty methods using elliptic curves	2003	Nils Bruin	3
+ PDF Chat	Explicit Chabauty over number fields	2013	Samir Siksek	3
+ PDF Chat	Implementing 2-descent for Jacobians of hyperelliptic curves	2001	Michael Stoll	3
+	Generalized Fermat equations: A miscellany	2014	Michael A. Bennett Imin Chen Sander R. Dahmen Soroosh Yazdani	3
+ PDF Chat	On the Equations <i>z<sup>m</sup> </i> = <i>F</i> (<i>x, y</i> ) and <i>Ax<sup>p</sup> </i> + <i>By<sup>q</sup> </i> = <i>Cz<sup>r</sup> </i>	1995	Henri Darmon Andrew Granville	3
+	On the Arithmetic of the Curves y2=xℓ+A, II	2002	Michael Stoll	3
+ PDF Chat	Some diophantine equations of the form $x^n + y^n = z^m$	1998	Bjorn Poonen	3
+	Algebraic Number Theory	1999	Jürgen Neukirch	3
+ PDF Chat	The Mordell–Weil sieve: proving non-existence of rational points on curves	2010	Nils Bruin Michael Stoll	3
+ PDF Chat	Majorations Effectives Pour L’ Équation de Fermat Généralisée	1997	Alain Kraus	3
+ PDF Chat	On the Diophantine Equation <i>n</i>(<i>n</i> + <i>d</i>) · · · (<i>n</i> + (<i>k</i> − 1)<i>d</i>) = <i>by</i><sup><i>l</i></sup>	2004	Kálmán Győry Lajos Hajdu N. Saradha	3
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	3
+	The primitive solutions to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Nils Bruin	3
+ PDF Chat	The Cassels-Tate Pairing on Polarized Abelian Varieties	1999	Bjorn Poonen Michael Stoll	3
+ PDF Chat	Galois representations attached to [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-curves and the generalized Fermat equation A 4 + B 2 = C P	2004	Jordan S. Ellenberg	3
+	Sur l'équation a<sup>3</sup>+ b<sup>3</sup>= c<sup>p</sup>	1998	Alain Kraus	2
+ PDF Chat	A note on the congruent distribution of the number of prime factors of natural numbers	2001	Tomio Kubota Mariko Yoshida	2
+	The Generalized Fermat Equation	2016	Michael A. Bennett Preda Mihăilescu Samir Siksek	2
+	None	1999	Alain Kraus	2
+ PDF Chat	On the equation $s^2+y^{2p} = \alpha^3$	2007	Imin Chen	2
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol	2
+	A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function	1995	R. R. Hall	2
+	THE DIOPHANTINE EQUATION A<sup>4</sup> + 2<sup>δ</sup>B<sup>2</sup> = C<sup>n</sup>	2010	Michael A. Bennett Jordan S. Ellenberg Nathan Ng	2
+ PDF Chat	Ternary Diophantine equations of signature (<i>p</i>, <i>p</i>, 3)	2004	Michael A. Bennett Vinayak Vatsal Soroosh Yazdani	2
+ PDF Chat	Reduction of Binary Cubic and Quartic Forms	1999	J. E. Cremona	2
+ PDF Chat	Elliptic curves over real quadratic fields are modular	2014	Nuno Freitas Bao V. Le Hung Samir Siksek	2
+	Rigid local systems, Hilbert modular forms, and Fermat's last theorem	2000	Henri Darmon	2
+ PDF Chat	Sign changes in sums of the Liouville function	2008	Peter Borwein Ron Ferguson Michael J. Mossinghoff	2
+ PDF Chat	None	1999	Nils Bruin	2
+ PDF Chat	On the arithmetic of abelian varieties	1972	J. S. Milne	2
+	Solving Fermat-type equations via modular ℚ-curves over polyquadratic fields	2009	Luis Dieulefait Jorge Jiménez Urroz	2
+ PDF Chat	Visualizing Elements in the Shafarevich—Tate Group	2000	J. E. Cremona Barry Mazur	2
+	Neron Classification of Elliptic Curves Where the Residual Characteristics Equal 2 Or 3	1993	Ioannis Papadopoulos	2
+ PDF Chat	Abelian Varieties over Q and Modular Forms	2004	Kenneth A. Ribet	2
+	The Diophantine equation Axp+Byq=Czr	1998	Frits Beukers	2