Imin Chen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Improved bounds for Serre's open image theorem	2024	Imin Chen Joshua Swidinsky
+	On Darmon’s program for the generalized Fermat equation, II	2024	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+ PDF Chat	Some extensions of the modular method and Fermat equations of signature $(13,13,n)$	2023	Nicolas Billerey Imin Chen Lassina Dembélé Luis Dieulefait Nuno Freitas
+	On Darmon's program for the Generalized Fermat equation, II	2023	Nicolas Billerey Imin Chen Luis Dielefait Nuno Freitas
+	Characterising semi-Clifford gates using algebraic sets	2023	Imin Chen Nadish de Silva
+ PDF Chat	Chudnovsky-Ramanujan type formulae for non-compact arithmetic triangle groups	2022	Imin Chen Gleb Glebov Ritesh Goenka
+	Fermat's Last Theorem over ${\mathbb Q}(\sqrt{5})$ and ${\mathbb Q}(\sqrt{17})$	2022	Imin Chen Aisosa Efemwonkieke David Sun
+	On Darmon's program for the generalized Fermat equation, I	2022	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas Filip Najman
+	A modular approach to Fermat equations of signature $(p,p,5)$ using Frey hyperelliptic curves	2022	Imin Chen Angelos Koutsianas
+	An explicit correspondence of modular curves	2019	Imin Chen Parinaz Salari Sharif
+	Chudnovsky-Ramanujan Type Formulae for non-Compact arithmetic triangle groups	2019	Imin Chen Gleb Glebov Ritesh Goenka
+	An explicit correspondence of modular curves	2018	Imin Chen Parinaz Salari Sharif
+	Some extensions of the modular method and Fermat equations of signature $(13,13,n)$	2018	Nicolas Billerey Imin Chen Lassina Dembélé Luis Dieulefait Nuno Freitas
+	A multi-Frey approach to Fermat equations of signature $(r,r,p)$	2017	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+ PDF Chat	On Chudnovsky–Ramanujan type formulae	2017	Imin Chen Gleb Glebov
+	EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2	2017	Imin Chen Yoonjin Lee
+	A result on the equation $x^p + y^p = z^r$ using Frey abelian varieties	2017	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+	A multi-Frey approach to Fermat equations of signature $(r,r,p)$	2017	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+	Chudnovsky-Ramanujan Type Formulae for the Legendre Family	2017	Imin Chen Gleb Glebov
+	A multi-Frey approach to Fermat equations of signature $(r,r,p)$	2017	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+	A result on the equation $x^p + y^p = z^r$ using Frey abelian varieties	2016	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+ PDF Chat	ON THE THETA OPERATOR FOR MODULAR FORMS MODULO PRIME POWERS	2016	Imin Chen Ian Kiming
+	On Chudnovsky-Ramanujan Type Formulae	2016	Imin Chen Gleb Glebov
+	A result on the equation $x^p + y^p = z^r$ using Frey abelian varieties	2016	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas
+	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	Explicit isogeny theorems for Drinfeld modules	2013	Imin Chen Yoonjin Lee
+ PDF Chat	Multi-Frey ℚ-curves and the Diophantine equation<i>a</i><sup>2</sup>+<i>b</i><sup>6</sup>=<i>c</i><sup><i>n</i></sup>	2012	Michael A. Bennett Imin Chen
+	ON MODULAR GALOIS REPRESENTATIONS MODULO PRIME POWERS	2012	Imin Chen Ian Kiming Gabor Wiese
+ PDF Chat	Newton polygons, successive minima, and different bounds for Drinfeld modules of rank $2$	2012	Imin Chen Yoonjin Lee
+ PDF Chat	On the equations <i>a</i><sup>2</sup>−2<i>b</i><sup>6</sup>=<i>c</i><sup><i>p</i></sup> and <i>a</i><sup>2</sup>−2=<i>c</i><sup><i>p</i></sup>	2012	Imin Chen
+	Coefficients of exponential functions attached to Drinfeld modules of rank 2	2011	Imin Chen Yoonjin Lee
+	On modular Galois representations modulo prime powers	2011	Imin Chen Ian Kiming Gabor Wiese
+ PDF Chat	On the equation a2+b2p= c5	2010	Imin Chen
+	On congruences mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="fraktur">p</mml:mi><mml:mi>m</mml:mi></mml:msup></mml:math> between eigenforms and their attached Galois representations	2009	Imin Chen Ian Kiming Jonas B. Rasmussen
+ PDF Chat	Perfect powers expressible as sums of two cubes	2009	Imin Chen Samir Siksek
+	Introduction to Q-curves	2008	Imin Chen
+ PDF Chat	On the equation $s^2+y^{2p} = \alpha^3$	2007	Imin Chen
+ PDF Chat	A Diophantine Equation Associated to X0(5)	2005	Imin Chen
+	Jacobians of modular curves associated to normalizers of Cartan subgroups of level <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>	2004	Imin Chen
+ PDF Chat	Relations between jacobians of modular curves of level p^2	2004	Imin Chen Bart de Smit Martin Grabitz
+	Jacobians of modular curves associated to normalizers of Cartan subgroups of level p n Jacobiennes de courbes modulaires associees aux normalisateurs de sous-groupes de Cartan de niveau p n	2004	Imin Chen
+ PDF Chat	Elliptic curves with nonsplit mod $11$ representations	2003	Imin Chen Chris Cummins
+	Singular values of Thompson series	1996	Imin Chen Noriko Yui
+	The Jacobian of modular curves associated to Cartan subgroups	1996	Imin Chen

Common Coauthors

Coauthor	Papers Together
Nuno Freitas	11
Luis Dieulefait	10
Nicolas Billerey	8
Gleb Glebov	5
Yoonjin Lee	4
Ian Kiming	4
Michael A. Bennett	3
Nicolas Billerey	3
Lassina Dembélé	2
Parinaz Salari Sharif	2
Sander R. Dahmen	2
Ritesh Goenka	2
Soroosh Yazdani	2
Gabor Wiese	2
Joshua Swidinsky	1
Samir Siksek	1
Martin Grabitz	1
Chris Cummins	1
Nadish de Silva	1
Jonas B. Rasmussen	1
David Sun	1
Angelos Koutsianas	1
Noriko Yui	1
Filip Najman	1
Bart de Smit	1
Aisosa Efemwonkieke	1
Luis Dielefait	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	15
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	12
+ PDF Chat	Ternary Diophantine Equations via Galois Representations and Modular Forms	2004	Michael A. Bennett Chris M. Skinner	12
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	11
+	Rigid local systems, Hilbert modular forms, and Fermat's last theorem	2000	Henri Darmon	10
+ PDF Chat	Winding quotients and some variants of Fermat's Last Theorem.	1997	Henri Darmon	10
+ 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	7
+	Sur les représentations modulaires de degré 2 de Gal(Q¯/Q)	1987	Jean-Pierre Serre	7
+ PDF Chat	Fermat-type equations of signature $$(13,13,p)$$ via Hilbert cuspforms	2013	Luis Dieulefait Nuno Freitas	7
+ PDF Chat	Perfect powers expressible as sums of two fifth or seventh powers	2014	Sander R. Dahmen Samir Siksek	7
+ 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	6
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	6
+	Arithmetic moduli of elliptic curves	1985	Nicholas M. Katz Barry Mazur	6
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	6
+	Courbes elliptiques semi-stables et corps quadratiques	1996	Alain Kraus	6
+	A Multi-Frey Approach to Some Multi-Parameter Families of Diophantine Equations	2008	Yann Bugeaud Maurice Mignotte Samir Siksek	6
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	5
+ PDF Chat	Elliptic curves over real quadratic fields are modular	2014	Nuno Freitas Bao V. Le Hung Samir Siksek	5
+ PDF Chat	On the arithmetic of abelian varieties	1972	J. S. Milne	5
+	Faltings plus epsilon, Wiles plus epsilon, and the Generalized Fermat Equation	2007	Henri Darmon	5
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	5
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	4
+ PDF Chat	Correspondences on Shimura curves and Mazur’s principle at p	2004	Frazer Jarvis	4
+	Approximations and complex multiplication according to Ramanujan	2000	D. V. Chudnovsky G. V. Chudnovsky	4
+ PDF Chat	Abelian Varieties over Q and Modular Forms	2004	Kenneth A. Ribet	4
+ PDF Chat	Twists of X(7) and primitive solutions to x2+y3=z7	2007	Bjorn Poonen Edward F. Schaefer Michael Stoll	4
+ PDF Chat	The Jacquet–Langlands correspondence, Eisenstein congruences, and integral $L$-values in weight $2$	2017	Kimball Martin	4
+	The special values of the zeta functions associated with Hilbert modular forms	1978	Goro Shimura	4
+	Sur le défaut de semi-stabilité des courbes elliptiques à réduction additive	1990	Alain Kraus	4
+	None	1999	Alain Kraus	4
+	A multi-Frey approach to Fermat equations of signature $(r,r,p)$	2017	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas	4
+ PDF Chat	Sur un résultat d'Imin Chen	2000	Bart de Smit	4
+	Modular Equations and Approximations to π	2000	Lennart Berggren Jonathan M. Borwein Peter Borwein	4
+	Exceptional sets of hypergeometric series	2003	Natália Archinard	4
+ PDF Chat	Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields	2016	José Ignacio Burgos Gil Ariel Pacetti	4
+	A tameness criterion for Galois representations associated to modular forms (mod p)	1990	Benedict H. Gross	4
+	The Jacobians of Non-Split Cartan Modular Curves	1998	I Chen	4
+	On Relations between Jacobians of Certain Modular Curves	2000	Imin Chen	4
+ 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	4
+ PDF Chat	Ternary Diophantine equations of signature (<i>p</i>, <i>p</i>, 3)	2004	Michael A. Bennett Vinayak Vatsal Soroosh Yazdani	4
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	3
+	Neron Classification of Elliptic Curves Where the Residual Characteristics Equal 2 Or 3	1993	Ioannis Papadopoulos	3
+ PDF Chat	Newton polygons, successive minima, and different bounds for Drinfeld modules of rank $2$	2012	Imin Chen Yoonjin Lee	3
+ PDF Chat	Arithmetic of elliptic curves and diophantine equations	1999	Loïc Merel	3
+ PDF Chat	Almost powers in the Lucas sequence	2008	Yann Bugeaud Florian Luca Maurice Mignotte Samir Siksek	3
+	Über die hypergeometrische Reihe .	1836	E.E. Kummer	3
+	Modular forms of weight one and Galois representations	2003	Jean-Pierre Serre	3
+	The Diophantine equation Axp+Byq=Czr	1998	Frits Beukers	3
+ PDF Chat	Arithmetic on Elliptic Curves with Complex Multiplication	1980	Benedict H. Gross	3
+	On Epstein's Zeta-function.	1967	S. Chowla Atle Selberg	3