Omar Kihel

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All published works

Action	Title	Year	Authors
+	Powers as Fibonacci sums	2024	Benjamin Earp-Lynch Simon Earp-Lynch Omar Kihel Pagdame Tiebekabe
+	Extension of the Equation to a Family of Lucas Sequences	2024	Benjamin Earp-Lynch Simon Earp-Lynch Omar Kihel Puntani Pongsumpun
+ PDF Chat	Irreducibility and Multiplicative Composition of Polynomials Over Finite Fields	2023	Leila Benferhat Omar Kihel Jesse Larone Rezki Ould Mohamed
+	When is the ring of integers of a number field coverable?	2023	Mohamad M. Ayad Omar Kihel
+	Least primes which split in imaginary quadratic fields	2022	Sakha A. Alkabouss Boualem Bensebaa Omar Kihel Jesse Larone
+ PDF Chat	ON FIXED DIVISORS OF THE MINIMAL POLYNOMIALS OVER Z OF ALGEBRAIC NUMBERS	2022	Mohamed Ayad Abdelmejid Bayad Omar Kihel
+	Prime rational functions over a field	2022	Eva Goedhart Omar Kihel Jesse Larone
+	Apparent paradoxical partitions in countable sets	2021	Mohamed Ayad Omar Kihel
+	The paradox of the infinity	2021	Mohamed Ayad Omar Kihel
+	On the nonnegative integer solutions of the equation <i>F<sub>n</sub> ± F<sub>m</sub></i> = <i>y<sup>a</sup></i>	2021	Omar Kihel Jesse Larone
+	The paradox of the infinity	2021	Mohamed Ayad Omar Kihel
+	On the nonnegative integer solutions to the equation F ± F = y	2020	Salima Kebli Omar Kihel Jesse Larone Florian Luca
+	On certain D(9) and D(64) Diophantine triples	2020	Benjamin Earp-Lynch Simon Earp-Lynch Omar Kihel
+	On the Diophantine equation $h(a)x^2+f(a)=g(a)a^n$	2019	Nacira Berbara Omar Kihel Sukrawan Mavecha Joel Midgley
+	Indices in a number field II	2018	Mohamed Ayad Rachid Bouchenna Omar Kihel
+	Proof of the conjecture of Keskin, Siar and Karaatli	2018	Rachid Boumahdi Omar Kihel Sukrawan Mavecha
+ PDF Chat	The number of solutions to y2=px(ax2+2)	2018	Tarek Garici Omar Kihel Jesse Larone
+	An effective approach for integer partitions using exactly two distinct sizes of parts	2017	Nesrine Benyahia-Tani Sadek Bouroubi Omar Kihel
+	Integer partitions into Diophantine pairs	2017	Farid Bencherif Nesrine Benyahia-Tani Sadek Bouroubi Omar Kihel Z. Yahi
+ PDF Chat	Indices in a Number Field	2017	Mohamed Ayad Rachid Bouchenna Omar Kihel
+	Proof of the conjecture of Keskin, Siar and Karaatli	2016	Rachid Boumahdi Omar Kihel Sukrawan Mavecha
+	When Does a Given Polynomial with Integer Coefficients Divide Another?	2016	Mohamed Ayad Omar Kihel Jesse Larone
+	Proof of the conjecture of Keskin, Siar and Karaatli	2016	Rachid Boumahdi Omar Kihel Sukrawan Mavecha
+	The number of solutions to $y^2=px(Ax^2+2)$	2015	Tarek Garici Omar Kihel Jesse Larone
+ PDF Chat	Prime rational functions	2015	Omar Kihel Jesse Larone
+	The number of solutions to $y^2=px(Ax^2+2)$	2015	Tarek Garici Omar Kihel Jesse Larone
+	Denominators of algebraic numbers in a number field	2014	Mohamed Ayad Abdelmejid Bayad Omar Kihel
+	The Number of Relatively Prime Subsets of a Finite Union of Sets of Consecutive Integers	2014	Mohamed Ayad Vincenzo Coia Omar Kihel
+ PDF Chat	ON PERMUTATION BINOMIALS OVER FINITE FIELDS	2013	Mohamed Ayad Kacem Belghaba Omar Kihel
+	RECOGNIZING THE PRIMES USING PERMUTATIONS	2012	Mohamed Ayad Omar Kihel
+	Small generators of quadratic fields and reduced elements	2012	Omar Kihel Jason Lizotte
+	Solutions of a class of quartic Thue inequalities	2011	Bo He Omar Kihel Alain Togbé
+	COMMON DIVISORS OF VALUES OF POLYNOMIALS AND COMMON FACTORS OF INDICES IN A NUMBER FIELD	2011	Mohamed Ayad Omar Kihel
+ PDF Chat	Variants of the Diophantine equation $n! + 1 = y^2$	2010	Omar Kihel Florian Luca Alain Togbé
+	On Relatively Prime Sets	2009	Mohamed Ayad Omar Kihel
+	The Number of Relatively Prime Subsets of {1, 2, . . . , n}	2009	Mohamed Ayad Omar Kihel
+ PDF Chat	Variants of the Brocard-Ramanujan equation	2008	Omar Kihel Florian Luca
+	On the number of subsets relatively prime to an integer.	2008	Mohamed Ayad Omar Kihel
+	Perfect powers with all equal digits but one.	2005	Omar Kihel Florian Luca
+ PDF Chat	On a Few Diophantine Equations Related to Fermat’s Last Theorem	2002	Omar Kihel Claude Lévesque
+ PDF Chat	Extensions diedrales et courbes elliptiques	2002	Omar Kihel
+ PDF Chat	Some remarks on the diophantine equation $(x^2 - 1)(y^2 - 1) = (z^2 - 1)^2$	2001	Mohammed A. Al-Kadhi Omar Kihel
+	Sets in Which the Product of Any K Elements Increased by t Is a k <sup>th</sup> Power	2001	A. El Kihel Omar Kihel
+ PDF Chat	Groupe des unités pour des extensions diédrales complexes de degré $10$ sur $Q$	2001	Omar Kihel
+	On the Extendibility of the Set {1, 2, 5}	2000	Omar Kihel

Common Coauthors

Coauthor	Papers Together
Mohamed Ayad	15
Jesse Larone	10
Florian Luca	4
Sukrawan Mavecha	4
Rachid Boumahdi	3
Benjamin Earp-Lynch	3
Simon Earp-Lynch	3
Tarek Garici	3
Alain Togbé	2
Nesrine Benyahia-Tani	2
Sadek Bouroubi	2
Rachid Bouchenna	2
Leila Benferhat	1
Joel Midgley	1
Rezki Ould Mohamed	1
Mohamad M. Ayad	1
Sakha A. Alkabouss	1
Boualem Bensebaa	1
Puntani Pongsumpun	1
Mohammed A. Al-Kadhi	1
Eva Goedhart	1
Abdelmejid Bayad	1
A. El Kihel	1
Jason Lizotte	1
Farid Bencherif	1
Pagdame Tiebekabe	1
Claude Lévesque	1
Abdelmejid Bayad	1
Z. Yahi	1
Salima Kebli	1
Bo He	1
Nacira Berbara	1
Vincenzo Coia	1
Kacem Belghaba	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Generalization of a Theorem of Baker and Davenport	1998	Andrej Dujella A. Petho	5
+	An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II	2000	E M Matveev	4
+	A SECOND VARIATION ON A PROBLEM OF DIOPHANTUS AND DAVENPORT	2010	Burton W. Jones H. Davenport	3
+ PDF Chat	Generalization of a problem of Diophantus	1993	Andrej Dujella	3
+	A generalization of a theorem of Baker and Davenport	1998	Andrej Dujella Attila Pethö	3
+ PDF Chat	THE EQUATIONS 3<i>x</i><sup>2</sup>−2 = <i>y</i><sup>2</sup> AND 8<i>x</i><sup>2</sup>−7 = <i>z</i><sup>2</sup>	1969	A. Baker H. Davenport	3
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	3
+	On The diophantine equation<i>Fn</i>+<i>F</i><sub><i>m</i></sub>=2<sup><i>a</i></sup>	2015	Jhon J. Bravo Florian Luca	3
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers	2006	Yann Bugeaud Maurice Mignotte Samir Siksek	3
+	Asymptotic estimates for phi functions for subsets of .	2007	Melvyn B. Nathanson Brooke Orosz	2
+ PDF Chat	Squares in Lehmer sequences and some Diophantine applications	2001	Florian Luca Peter Walsh	2
+ PDF Chat	On polynomial-factorial diophantine equations	2005	Daniel Berend Jørgen E. Harmse	2
+	On Relatively Prime Sets	2009	Mohamed Ayad Omar Kihel	2
+	Introduction to Number Theory	2001	Trygve Nagell	2
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman	2
+ PDF Chat	On the Diophantine equation $F_{n}-F_{m}=2^{a}$	2019	Zafer Şi̇ar Refık Keskin	2
+	Affine invariants, relatively prime sets, and a phi function for subsets of .	2007	Melvyn B. Nathanson	2
+	COMMON DIVISORS OF VALUES OF POLYNOMIALS AND COMMON FACTORS OF INDICES IN A NUMBER FIELD	2011	Mohamed Ayad Omar Kihel	2
+ PDF Chat	On Diophantine quintuples	1997	Andrej Dujella	2
+	Nonnegative integer solutions of the equationFn	2019	Fatih Erduvan Refık Keskin	2
+ PDF Chat	On perfect powers that are sums of two Fibonacci numbers	2018	Florian Luca Vandita Patel	2
+	Common divisors of values of polynomials	1971	C. R. MacCluer	2
+ PDF Chat	ON A DIOPHANTINE EQUATION OF CASSELS	2005	Florian Luca Peter Walsh	2
+	On Denominators of Algebraic Numbers and Integer Polynomials	1996	Steven Arno M.L. Robinson Ferell S. Wheeler	2
+ PDF Chat	Zur Theorie der außerwesentlichen Diskriminantenteiler algebraischer Körper	1913	E. von Żyliński	2
+	Solutions of some quadratic Diophantine equations	2010	Refık Keskin	2
+	Asymptotic estimates for phi functions for subsets of {m+1, m+2,...,n}	2007	Melvyn B. Nathanson Brooke Orosz	2
+ PDF Chat	On the common index divisors of an algebraic field	1930	H. T. Engstrom	2
+	The Index of a Cyclic Quartic Field	2003	Blair K. Spearman Kenneth S. Williams	2
+ PDF Chat	A note on common index divisors	1952	L. Carlitz	2
+	On a class of ideals in an algebraic number field	1970	Hiroshi Gunji Donald L. McQuillan	2
+ PDF Chat	Quelques résultats sur les diviseurs fixes de l'index des nombres entiers d'un corps algébrique	1966	Trygve Nagell	2
+	A VARIATION ON A PROBLEM OF DAVENPORT AND DIOPHANTUS	1976	Burton W. Jones	2
+	Complete Solution of the Diophantine EquationX2+1=dY4and a Related Family of Quartic Thue Equations	1997	Chen Jian Hua Paul Voutier	2
+	The Foundations of the Theory of Algebraic Numbers	1925	Harris Hancock	2
+ PDF Chat	On abelian fields	1933	L. Carlitz	2
+	Cubic Fields with Index 2	2002	Blair K. Spearman Kenneth S. Williams	2
+	Advanced Combinatorics	1974	Louis Comtet	2
+	On Relatively Prime Sets Counting Functions	2010	Temba Shonhiwa	1
+	Combinatorial Identities Via Phi Functions and Relatively Prime Subsets	2010	Mohamed El Bachraoui	1
+ PDF Chat	On irreducible polynomials over $\bf Q$ which are reducible over ${bf F}_p$ for all $p$	2010	Mohamed Ayad	1
+ PDF Chat	Winding quotients and some variants of Fermat's Last Theorem.	1997	Henri Darmon	1
+	Contributions to the theory of diophantine equations I. On the representation of integers by binary forms	1968	A. Baker	1
+ PDF Chat	Power-free values of polynomials	2011	T. D. Browning	1
+ PDF Chat	On some arithmetical properties of middle binomial coefficients	1998	Daniel Berend Jørgen E. Harmse	1
+	The Number of Relatively Prime Subsets of {1, 2, . . . , n}	2009	Mohamed Ayad Omar Kihel	1
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	1
+ PDF Chat	Small generators of number fields	1998	Wolfgang M. Ruppert	1
+	Composition factors of polynomials	2001	Alan F. Beardon	1
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	1