Nurettin Irmak

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All published works

Action	Title	Year	Authors
+ PDF Chat	Schreier multisets and the s-step Fibonacci sequences	2024	Hùng Việt Chu Nurettin Irmak Steven J. Miller László Szalay Sindy Xin Zhang
+	The <i>k</i>-Generalized Lucas Numbers Close to a Power of 2	2023	Abdullah Açıkel Nurettin Irmak László Szalay
+ PDF Chat	A Diophantine equation including Fibonacci and Fibonomial coefficients	2023	Nurettin Irmak
+	A generalization of the equation (2<i><sup>k</sup></i> − 1) (3<i><sup>l</sup></i> − 1) = 5<i><sup>m</sup></i> − 1	2023	Nurettin Irmak
+	Schreier Multisets and the $s$-step Fibonacci Sequences	2023	Hùng Việt Chu Nurettin Irmak Steven J. Miller László Szalay Sindy Xin Zhang
+ PDF Chat	On $k$-generalized Lucas sequence with its triangle	2023	Abdullah Açıkel AMROUCHE SAID Hacène Belbachir Nurettin Irmak
+ PDF Chat	Factorials as repdigits in base $b$	2022	Nurettin Irmak Alain Togbé
+ PDF Chat	Common terms of Tribonacci and Perrin sequences	2022	Abdullah Acikel Nurettin Irmak
+	PRODUCT OF FACTORIALS IN THE SEQUENCE {gn}	2021	Nurettin Irmak
+ PDF Chat	On square Tribonacci Lucas numbers	2021	Nurettin Irmak
+ PDF Chat	Linear Algebra of the Lucas Matrix	2020	Nurettin Irmak Cahit Köme
+ PDF Chat	More Identities for Fibonacci and Lucas Octonions	2020	Nurettin Irmak Abdullah Açıkel
+	The order of appearance of the product of two Fibonacci and Lucas numbers	2020	Nurettin Irmak Prasanta Kumar Ray
+ PDF Chat	More identities for Fibonacci and Lucas quaternions	2020	Nurettin Irmak
+ PDF Chat	More identities for Fibonacci and Lucas quaternions	2020	Nurettin Irmak
+ PDF Chat	s-th power of Fibonacci number of the form 2^a + 3^b + 5^c	2019	Nurettin Irmak Bo He
+ PDF Chat	On the sum of three arbitrary Fibonacci and Lucas numbers	2019	Nurettin Irmak Zafer Şi̇ar Refık Keskin
+	More Identities for Fibonacci and Lucas quaternions	2019	Nurettin Irmak
+ PDF Chat	Fuzzy Fibonacci and Fuzzy Lucas Numbers with their Properties	2019	Nurettin Irmak Naime Demirtaş
+	On factorials in Perrin and Padovan sequences	2019	Nurettin Irmak
+ PDF Chat	Lucas numbers of the form (2t/k)	2019	Nurettin Irmak László Szalay
+	Factorial-like values in the balancing sequence	2018	Nurettin Irmak Kálmán Liptai László Szalay
+ PDF Chat	On repdigits as product of consecutive Lucas numbers	2018	Nurettin Irmak Alain Togbé
+	The rank of apparition of powers of Lucas sequence	2018	Prasanta Kumar Ray Nurettin Irmak Bijan Kumar Patel
+	On perfect numbers close to Tribonacci numbers	2018	Nurettin Irmak Abdullah Açıkel
+	Incomplete balancing and lucas-balancing numbers	2018	Bijan Kumar Patel Nurettin Irmak Prasanta Kumar Ray Alexandru Zaharescu
+	k-generalized Fibonacci numbers close to the form 2^a + 3^b + 5^c	2017	Nurettin Irmak Murat Alp
+	Product of arbitrary Fibonacci numbers with distance 1 to Fibonomial coefficient	2017	Nurettin Irmak
+ PDF Chat	Only finitely many Tribonacci Diophantine triples exist	2017	Clemens Fuchs Christoph Hutle Nurettin Irmak Florian Luca László Szalay
+	Product of arbitrary Fibonacci numbers with distance 1 to Fibonomial coefficient	2017	Nurettin Irmak
+ PDF Chat	Balancing with powers of the Lucas sequence of recurrence $u_{n}=Au_{n-1}-u_{n-2}$	2017	Nurettin Irmak Murat Alp
+	On solutions of the simultaneous Pell equations $$ x^{2}-\left( a^{2}-1\right) y^{2}=1$$ x 2 - a 2 - 1 y 2 = 1 and $$y^{2}-pz^{2}=1$$ y 2 - p z 2 = 1	2016	Nurettin Irmak
+	Tribonacci Numbers Close to the Sum $2^a+3^b+5^c$	2016	Nurettin Irmak László Szalay
+	Decompositions of the Cauchy and Ferrers-Jackson polynomials	2016	Nurettin Irmak Emrah Kılıç
+ PDF Chat	Pellans sequence and its diophantine triples	2016	Nurettin Irmak Murat Alp
+	Only finitely many Tribonacci Diophantine triples exist	2015	Clemens Fuchs Christoph Hutle Nurettin Irmak Florian Luca László Szalay
+ PDF Chat	Reduced diophantine quadruples with the binary recurrence G<sub>n</sub> = AG<sub>n–1</sub> – G<sub>n–2</sub>	2015	Murat Alp Nurettin Irmak László Szalay
+ PDF Chat	Balancing Diophantine triples with distance 1	2015	Murat Alp Nurettin Irmak László Szalay
+	Only finitely many Tribonacci Diophantine triples exist	2015	Clemens Fuchs Christoph Hutle Nurettin Irmak Florian Luca László Szalay
+	Diophantine triples and reduced quadruples with the Lucas sequence of recurrence un=Aun-1-un-2	2014	Nurettin Irmak László Szalay
+	Some Identities for Generalized Fibonacci and Lucas Sequences	2013	Nurettin Irmak Murat Alp
+ PDF Chat	Tribonacci numbers with indices in arithmetic progression and their sums	2013	Nurettin Irmak Murat Alp
+	TWO-PERIODIC TERNARY RECURRENCES AND THEIR BINET-FORMULA	2012	Murat Alp Nurettin Irmak László Szalay
+	Binomial Identities Involving The Generalized Fibonacci Type Polynomials.	2011	Emrah Kılıç Nurettin Irmak
+	Reciprocal Sums of lth Power of Generalized Binary Sequences with Indices.	2008	Emrah Kılıç Nurettin Irmak

Common Coauthors

Coauthor	Papers Together
László Szalay	13
Murat Alp	8
Abdullah Açıkel	4
Christoph Hutle	3
Emrah Kılıç	3
Prasanta Kumar Ray	3
Florian Luca	3
Clemens Fuchs	3
Bijan Kumar Patel	2
Sindy Xin Zhang	2
Steven J. Miller	2
Alain Togbé	2
Hùng Việt Chu	2
Zafer Şi̇ar	1
Cahit Köme	1
Hacène Belbachir	1
Naime Demirtaş	1
Kálmán Liptai	1
AMROUCHE SAID	1
Refi̇k Keski̇n	1
Alexandru Zaharescu	1
Abdullah Acikel	1
Bo He	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fibonacci and Lucas Numbers with Applications	2001	Thomas Koshy	7
+	Fibonacci and Lucas Numbers With Applications	2018	Thomas Koshy	6
+ PDF Chat	Diophantine triples with values in binary recurrences	2009	Clemens Fuchs Florian Luca László Szalay	6
+ PDF Chat	Lucas Diophantine Triples	2009	Florian Luca László Szalay	5
+	On the Numerical Factors of the Arithmetic Forms α n ± β n	1913	R. D. Carmichael	5
+	Fibonacci Diophantine triples	2008	Florian Luca László Szalay	5
+	Diophantine triples and reduced quadruples with the Lucas sequence of recurrence un=Aun-1-un-2	2014	Nurettin Irmak László Szalay	4
+	There are only finitely many Diophantine quintuples	2004	Andrej Dujella	4
+ PDF Chat	Diophantine equations with binary recurrences associated to the Brocard–Ramanujan problem	2012	László Szalay	4
+	On the Square Roots of Triangular Numbers	1999	Ajay Kumar Behera G. K. Panda	3
+	Fibonacci and Lucas Numbers with Applications	2017	Thomas Koshy	3
+	A Generalization of a Theorem of Baker and Davenport	1998	Andrej Dujella A. Petho	3
+	The Order of the Fibonacci and Lucas Numbers	1995	Tamás Lengyel	3
+	On Fibonacci Quaternions	2011	Serpil Halıcı	2
+	A New Generalization of Fibonacci Sequence & Extended Binet's Formula	2009	Marcia Edson Omer Yayenie	2
+	The Order of Appearance of Product of Consecutive Fibonacci Numbers	2012	Diego Marques	2
+	A note on generalized Fibonacci sequences	2010	Omer Yayenie	2
+	Balancing and Cobalancing Numbers	2009	Prasanta Kumar Ray	2
+	On factorials in Perrin and Padovan sequences	2019	Nurettin Irmak	2
+	Tribonacci Diophantine quadruples	2015	Carlos A. Gómez Florian Luca	2
+	An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II	2000	E M Matveev	2
+	A Problem of Fermat and the Fibonacci Sequence	1977	V. E. Hoggatt Gerald E. Bergum	2
+	A Simplified Binet Formula for k-Generalized Fibonacci Numbers	2014	Gregory P. Dresden Du Zhaohui	2
+	Real Quaternionic Calculus Handbook	2014	J. Morais Svetlin G. Georgiev Wolfgang Sprößig	2
+	Diophantine quadruples in the sequence of shifted Tribonacci numbers	2015	Carlos A. Gómez Florian Luca	2
+ PDF Chat	A Class of Recurrent Sequences Exhibiting Some Exciting Properties of Balancing Numbers	2012	G. K. Panda Sudhansu Sekhar Rout	2
+ PDF Chat	Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities	2014	Hacène Belbachir Takao Komatsu László Szalay	2
+	On a conjecture about repdigits in k-generalized Fibonacci sequences	2013	Jhon J. Bravo Florian Luca	2
+	An improvement of the quantitative subspace theorem	1996	Jan‐Hendrik Evertse	2
+	DIOPHANTINE PROBLEMS WITH LINEAR RECURRENCES VIA THE SUBSPACE THEOREM	2005	Clemens Fuchs	2
+	Fibonacci and Lucas numbers with only one distinct digit.	2000	Florian Luca	2
+	The generalized Fibonomial matrix	2009	Emrah Kılıç	1
+ PDF Chat	The proof of a conjecture concerning the intersection of k-generalized Fibonacci sequences	2013	Diego Marques	1
+	Pure powers in recurrence sequences and some related diophantine equations	1987	T. N. Shorey C. L. Stewart	1
+ PDF Chat	Towards fuzzy differential calculus part 2: Integration on fuzzy intervals	1982	Didier Dubois Henri Prade	1
+	Properties of Cordonnier, Perrin and Van der Laan numbers	2006	A. G. Shannon Peter G. Anderson A. F. Horadam	1
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman	1
+	Incomplete Fibonacci and Lucas numbers	1996	Piero Filipponi	1
+	Split Fibonacci Quaternions	2013	Mahmut Akyiğit Hidayet Hüda Kösal Murat Tosun	1
+ PDF Chat	An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers	2011	Florian Luca Roger Oyono	1
+ PDF Chat	Sur les carrés dans certaines suites de Lucas	1993	Maurice Mignotte Attila Pethő	1
+	Further combinatorial identities deriving from the nth power of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>2</mml:mn><mml:mo>×</mml:mo><mml:mn>2</mml:mn></mml:math> matrix	2006	James Mc Laughlin Nancy J. Wyshinski	1
+	Introduction to fuzzy arithmetic : theory and applications	1991	A. Kaufmann Madan M. Gupta	1
+ PDF Chat	On the number of solutions of $x^2-4m(m+1)y^2=y^2-bz^2=1$	2004	Pingzhi Yuan	1
+	Sums Of Generalized Fibonacci Numbers By Matrix Methods.	2007	Emrah Kılıç	1
+ PDF Chat	On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers	2012	Saúl Díaz Alvarado Andrej Dujella Florian Luca	1
+	The linear algebra of the k-Fibonacci matrix	2003	Gwang-Yeon Lee Jin‐Soo Kim	1
+ PDF Chat	Ranking fuzzy numbers in the setting of possibility theory	1983	Didier Dubois Henri Prade	1
+ PDF Chat	Odd perfect numbers have a prime factor exceeding $10^{7}$	2003	Paul M. Jenkins	1
+	Parametric representation of fuzzy numbers and application to fuzzy calculus	2006	Luciano Stefanini Laerte Sorini Maria Letizia Guerra	1