Mohammad Sadek

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All published works

Action	Title	Year	Authors
+ PDF Chat	On Torsion Subgroups of Elliptic Curves over Quartic, Quintic and Sextic Number Fields	2024	Mustafa Umut Kazancıoğlu Mohammad Sadek
+ PDF Chat	Rational torsion on hyperelliptic jacobian varieties	2024	Hamide Kuru Mohammad Sadek
+ PDF Chat	Quadratic torsion orders on Jacobian varieties	2024	Hamide Kuru Mohammad Sadek
+ PDF Chat	Explicit construction of decomposable Jacobians	2024	Mesut Buğday Mohammad Sadek
+ PDF Chat	Arithmetic progressions in polynomial orbits	2024	Mohammad Sadek Mohamed Wafik Tuğba Yesin
+ PDF Chat	Arithmetic progressions in polynomial orbits	2024	Mohammad Sadek Mohamed Wafik Tuğba Yesin
+ PDF Chat	A dynamical analogue of a question of Fermat	2024	Mohammad Sadek Tuğba Yesin
+ PDF Chat	GENUS CURVES WITH BAD REDUCTION AT ONE ODD PRIME	2023	Andrzej Dąbrowski Mohammad Sadek
+ PDF Chat	Moments of Gaussian hypergeometric functions over finite fields	2023	Ankan Pal Bidisha Roy Mohammad Sadek
+ PDF Chat	Local and global densities for Weierstrass models of elliptic curves	2023	J. E. Cremona Mohammad Sadek
+	On congruence classes of orders of reductions of elliptic curves	2023	Antigona Pajaziti Mohammad Sadek
+	A Dynamical Analogue of a Question of Fermat	2023	Mohammad Sadek Tuğba Yesin
+ PDF Chat	Rational points on quadratic elliptic surfaces	2022	Mohammad Sadek
+ PDF Chat	Simultaneous rational periodic points of degree-2 rational maps	2022	Burcu Barsakçı Mohammad Sadek
+ PDF Chat	Divisibility by 2 on quartic models of elliptic curves and rational Diophantine D(q)-quintuples	2022	Mohammad Sadek Tuğba Yesin
+	Divisibility by 2 on quartic models of elliptic curves and rational Diophantine $D(q)$-quintuples	2022	Mohammad Sadek Tuğba Yesin
+	Simultaneous Rational Periodic Points of Degree-2 Rational Maps	2022	Burcu Barsakçı Mohammad Sadek
+	Rational points on quadratic elliptic surfaces	2022	Mohammad Sadek
+	Construction of Polynomials with prescribed divisibility conditions on the critical orbit	2022	Mohammad Sadek Mohamed Wafik
+	Eventual Stability of pure polynomials over the rational field	2022	Mohamed O. Darwish Mohammad Sadek
+	Genus two curves with everywhere good reduction over quadratic fields	2021	Andrzej Dąbrowski Mohammad Sadek
+ PDF Chat	Rational points in geometric progression on the unit circle	2021	Gamze Savaş Çelik Mohammad Sadek Gökhan Soydan
+ PDF Chat	Families of polynomials of every degree with no rational preperiodic points	2021	Mohammad Sadek
+	Moments of Gaussian hypergeometric functions over finite fields	2021	Ankan Pal Bidisha Roy Mohammad Sadek
+	Genus two curves with everywhere good reduction over quadratic fields	2021	Andrzej Dąbrowski Mohammad Sadek
+	Families of polynomials of every degree with no rational preperiodic points	2020	Mohammad Sadek
+	Rational Points in Geometric Progression on the Unit Circle	2020	Gamze Savaş Çelik Mohammad Sadek Gökhan Soydan
+	Strong rational Diophantine <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si9.svg"><mml:mrow><mml:mi>D</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>-triples	2020	Andrej Dujella Matteo Paganin Mohammad Sadek
+	On quadratic progression sequences on smooth plane curves	2020	Eslam Badr Mohammad Sadek
+	Families of polynomials of every degree with no rational preperiodic points	2020	Mohammad Sadek
+	Rational Points in Geometric Progression on the Unit Circle	2020	Gamze Savaş Çelik Mohammad Sadek Gökhan Soydan
+	Genus 2 curves with bad reduction at one odd prime	2020	Andrzej Dąbrowski Mohammad Sadek
+	Families of elliptic curves of rank $\geq 5$ over $\mathbb Q(t)$	2019	Dustin Moody Mohammad Sadek Arman Shamsi Zargar
+ PDF Chat	Rational sequences on different models of elliptic curves	2019	Gamze Savaş Çelik Mohammad Sadek Gökhan Soydan
+	On families of elliptic curves of rank >= 5 over Q(t)	2019	Mohammad Sadek Dustin Moody Arman Shamsi Zargar
+	Rational sequences on different models of elliptic curves	2019	Gamze Savaş Çelik Mohammad Sadek Gökhan Soydan
+	On quadratic progression sequences on smooth plane curves.	2019	Eslam Badr Mohammad Sadek
+	Rational sequences on different models of elliptic curves	2019	Gamze Savaş ÇELİK Mohammad Sadek Gökhan Soydan
+	On quadratic progression sequences on smooth plane curves	2019	Eslam Badr Mohammad Sadek
+ PDF Chat	Evaluation of Gaussian hypergeometric series using Huff’s models of elliptic curves	2018	Mohammad Sadek Nermine El-Sissi Arman Shamsi Zargar Naser Zamani
+ PDF Chat	Sequences of consecutive squares on quartic elliptic curves	2018	Mohamed Kamel Mohammad Sadek
+	Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves	2018	Mohammad Sadek Nermine El-Sissi Arman Shamsi Zargar Naser Zamani
+	On rational periodic points of $x^d+c$	2018	Mohammad Sadek
+	Sequences of consecutive squares on quartic elliptic curves	2018	Mohammad Sadek Mohamed Kamel
+ PDF Chat	On rational triangles via algebraic curves	2018	Mohammad Sadek Farida shahata
+ PDF Chat	Minimal regular models of quadratic twists of genus two curves	2018	Mohammad Sadek
+	On rational periodic points of $x^d+c$	2018	Mohammad Sadek
+	Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves	2018	Mohammad Sadek Nermine El-Sissi Arman Shamsi Zargar Naser Zamani
+	Sequences of consecutive squares on quartic elliptic curves	2018	Mohammad Sadek Mohamed S. Kamel
+	On large F-Diophantine sets	2017	Mohammad Sadek Nermine El-Sissi
+ PDF Chat	On sequences of consecutive squares on elliptic curves	2017	Mohamed Kamel Mohammad Sadek
+	High rank quadratic twists of pairs of elliptic curves	2017	Mohamed Alaa Mohammad Sadek
+	Counting elliptic curves with bad reduction over a prescribed set of primes	2017	Mohammad Sadek
+	On large $F$-Diophantine sets	2017	Mohammad Sadek Nermine El-Sissi
+	High rank quadratic twists of pairs of elliptic curves	2016	Mohammad Sadek Mohamed Alaa
+	On rational triangles via algebraic curves	2016	Mohammad Sadek Farida shahata
+	On sequences of consecutive squares on elliptic curves	2016	Mohamed Kamel Mohammad Sadek
+	On geometric progressions on hyperelliptic curves	2016	Mohamed Alaa Mohammad Sadek
+	On geometric progressions on hyperelliptic curves	2016	Mohamed Alaa Mohammad Sadek
+ PDF Chat	Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves	2016	Mohammad Sadek
+	Periodic continued fractions and elliptic curves over quadratic fields	2016	Mohammad Sadek
+	On dependence of rational points on elliptic curves	2016	Mohammad Sadek
+ PDF Chat	Edwards Curves and Gaussian Hypergeometric Series	2016	Mohammad Sadek Nermine El-Sissi
+	On rational triangles via algebraic curves	2016	Mohammad Sadek Farida shahata
+	On geometric progressions on hyperelliptic curves	2016	Alaa Mohamed Mohammad Sadek
+	High rank quadratic twists of pairs of elliptic curves	2016	Mohammad Sadek Alaa Mohamed
+	On sequences of consecutive squares on elliptic curves	2016	Mohamed S. Kamel Mohammad Sadek
+ PDF Chat	New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials	2015	W. M. Abd‐Elhameed Y. H. Youssri Nermine El-Sissi Mohammad Sadek
+	Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves	2015	Mohammad Sadek
+ PDF Chat	FORMAL GROUPS AND INVARIANT DIFFERENTIALS OF ELLIPTIC CURVES	2015	Mohammad Sadek
+	Partitions with equal products and elliptic curves	2015	Mohammad Sadek Nermine El-Sissi
+	Edwards Curves and Gaussian Hypergeometric Series	2015	Mohammad Sadek Nermine El-Sissi
+	New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials	2015	W. M. Abd‐Elhameed Y. H. Youssri Nermine El-Sissi Mohammad Sadek
+	Edwards Curves and Gaussian Hypergeometric Series	2015	Mohammad Sadek Nermine El-Sissi
+	Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves	2015	Mohammad Sadek
+	Periodic continued fractions and elliptic curves over quadratic fields	2014	Mohammad Sadek
+	On genus one curves of degree 5 with square-free discriminant	2014	Tom Fisher Mohammad Sadek
+	On quadratic twists of hyperelliptic curves	2014	Mohammad Sadek
+	On genus one curves of degree 5 with square-free discriminant	2014	Tom Fisher Mohammad Sadek
+	Periodic continued fractions and elliptic curves over quadratic fields	2014	Mohammad Sadek
+ PDF Chat	On elliptic curves whose conductor is a product of two prime powers	2013	Mohammad Sadek
+	Formal Groups and Combinatorial Objects	2013	Mohammad Sadek
+	On the Diophantine equation $cy^l=\frac{x^p-1}{x-1}$	2013	Mohammad Sadek
+	Partitions with equal products and elliptic curves	2013	Mohammad Sadek Nermine El-Sissi
+	Discrete Logarithms and Mordell-Weil Groups.	2013	Mohammad Sadek
+	On elliptic curves whose conductor is a product of two prime powers	2012	Mohammad Sadek
+ PDF Chat	Minimal genus one curves	2012	Mohammad Sadek
+	On the Diophantine equation cy^l=(x^p-1)/(x-1)	2012	Mohammad Sadek
+	On elliptic curves whose conductor is a product of two prime powers	2012	Mohammad Sadek
+	Visualizing elements of order four in the Shafarevich-Tate group of an elliptic curve	2011	Mohammad Sadek
+ PDF Chat	Counting models of genus one curves	2011	Mohammad Sadek
+	Visualizing elements of order four in the Shafarevich-Tate group of an elliptic curve	2011	Mohammad Sadek
+	On Quadratic Twists of Hyperelliptic Curves	2010	Mohammad Sadek
+	Models of Genus One Curves	2010	Mohammad Sadek
+	On Quadratic Twists of Hyperelliptic Curves	2010	Mohammad Sadek

Common Coauthors

Coauthor	Papers Together
Nermine El-Sissi	12
Gökhan Soydan	6
Tuğba Yesin	6
Arman Shamsi Zargar	5
Gamze Savaş Çelik	5
Mohamed Kamel	4
Andrzej Dąbrowski	4
Mohamed Alaa	4
Eslam Badr	3
Mohamed Wafik	3
Farida shahata	3
Y. H. Youssri	2
Dustin Moody	2
Bidisha Roy	2
Alaa Mohamed	2
W. M. Abd‐Elhameed	2
Naser Zamani	2
Ankan Pal	2
Tom Fisher	2
Burcu Barsakçı	2
Mohamed S. Kamel	2
Hamide Kuru	1
Mustafa Umut Kazancıoğlu	1
Hamide Kuru	1
Antigona Pajaziti	1
Mohamed O. Darwish	1
Matteo Paganin	1
Naser Zamani	1
Andrej Dujella	1
J. E. Cremona	1
Gamze Savaş ÇELİK	1
Mesut Buğday	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	16
+ PDF Chat	On Arithmetic Progressions on Elliptic Curves	1999	Andrew Bremner	11
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	10
+ PDF Chat	Minimal Models for 2-coverings of Elliptic Curves	2002	Michael Stoll J. E. Cremona	9
+	Rational points in geometric progressions on certain hyperelliptic curves	2013	Andrew Bremner Maciej Ulas	9
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	9
+	A Note on Arithmetic Progressions on Quartic Elliptic Curves	2005	Maciej Ulas	8
+ PDF Chat	Values of Gaussian hypergeometric series	1998	Ken Ono	6
+	A NOTE ON ARITHMETIC PROGRESSIONS ON ELLIPTIC CURVES	2003	Garikai Campbell	6
+	14-term Arithmetic Progressions on Quartic Elliptic Curves	2006	Allan J. MacLeod	6
+	Diophantine equations	1969	L. J. Mordell	5
+	Jacobians of Genus One Curves	2001	Sang Yook An Seog Young Kim David C. Marshall Susan Marshall William G. McCallum Alexander R. Perlis	5
+	Hasse invariants for the Clausen elliptic curves	2012	Ahmad El‐Guindy Ken Ono	5
+	Hyperelliptic curves and values of Gaussian hypergeometric series	2014	Rupam Barman Gautam Kalita Neelam Saikia	5
+ PDF Chat	Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète	1996	Qing Liu	5
+ PDF Chat	On Arithmetic Progressions on Genus Two Curves	2009	Maciej Ulas	5
+ PDF Chat	Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves	2010	J. E. Cremona Tom Fisher Michael Stoll	5
+ PDF Chat	Hypergeometric functions and a family of algebraic curves	2012	Rupam Barman Gautam Kalita	5
+ PDF Chat	Rational 6-Cycles Under Iteration of Quadratic Polynomials	2008	Michael Stoll	4
+	Algebraic geometry and arithmetic curves	2003	Qing Liu	4
+ PDF Chat	Geometric progressions on elliptic curves	2017	Abdoul Aziz Ciss Dustin Moody	4
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	4
+ PDF Chat	Arithmetic properties of periodic points of quadratic maps, II	1998	Patrick Morton	4
+ PDF Chat	Cycles of quadratic polynomials and rational points on a genus-2 curve	1997	E. V. Flynn Bjorn Poonen Edward F. Schaefer	4
+	The classification of rational preperiodic points of quadratic polynomials over ${\Bbb Q}$ : a refined conjecture	1998	Bjorn Poonen	4
+ PDF Chat	CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES	2012	Rupam Barman Gautam Kalita	4
+ PDF Chat	The invariants of a genus one curve	2008	Tom Fisher	4
+	An Arithmetic Progression on Quintic Curves	2009	Alejandra Alvarado	4
+	There is no Diophantine quintuple	2018	Bo He Alain Togbé Volker Ziegler	3
+ PDF Chat	Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves	2016	Mohammad Sadek	3
+	Arithmetic Progressions on Edwards Curves	2011	Dustin Moody	3
+ PDF Chat	Rank Frequencies for Quadratic Twists of Elliptic Curves	2001	Karl Rubin Alice Silverberg	3
+	Arithmetic Progressions on Huff Curves	2012	Dustin Moody	3
+	Arithmetic Progressions on Edwards Curves	2013	Andrew Bremner	3
+ PDF Chat	Edwards Curves and Gaussian Hypergeometric Series	2016	Mohammad Sadek Nermine El-Sissi	3
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	3
+ PDF Chat	Huff’s Model for Elliptic Curves	2010	Marc Jóye Mehdi Tibouchi Damien Vergnaud	3
+ PDF Chat	Hypergeometric functions over finite fields	1987	John Greene	3
+	Integral solutions in arithmetic progression for y2=x3+k	1992	J. -B. Lee William Vélez	3
+ PDF Chat	A new approach to minimising binary quartics and ternary cubics	2007	Tom Fisher	3
+	Multiples of Points on Elliptic Curves and Continued Fractions	1980	William W. Adams Michael J. Razar	3
+	On quadratic twists of elliptic curves y2 = x(x − 1)(x − λ)	2014	Andrej Dujella Ivica Gusić Luka Lasić	3
+ PDF Chat	Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes	2007	J. E. Cremona Mark Peter Lingham	3
+	Classical Invariants and 2-descent on Elliptic Curves	2001	J. E. Cremona	3
+ PDF Chat	On the conductor of an elliptic curve with a rational point of order 2	1974	Toshihiro Hadano	3
+ PDF Chat	Universal Bounds on the Torsion of Elliptic Curves	1976	Daniel S. Kubert	3
+	Rang de certaines familles de courbes elliptiques d'invariant donné	1998	Jean-François Mestre	3
+ PDF Chat	A normal form for elliptic curves	2007	Harold M. Edwards	3
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	3
+	Elliptic curves coming from Heron triangles	2014	Andrej Dujella Juan Carlos Peral	3