István Pink

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All published works

Action	Title	Year	Authors
+	On the largest value of the solutions of Erdos'last equation	2025	Florian Luca István Pink Csaba Sándor
+ PDF Chat	More on consecutive multiplicatively dependent triples of integers	2024	Michael A. Bennett István Pink Ingrid Vukusic
+ PDF Chat	On the largest value of the solutions of Erd\H{o}s's last equation	2024	István Pink Csaba Sándor
+	On the Diophantine equation 2 + p = m2 with a Fermat prime p	2024	Florian Luca István Pink
+	Cullen numbers and Woodall numbers in generalized Fibonacci sequences	2024	Attila Bérczes István Pink Paul Thomas Young
+	Number of solutions to a special type of unit equations in two unknowns, II	2024	Takafumi Miyazaki István Pink
+	Number of solutions to a special type of unit equations in two unknowns	2024	Takafumi Miyazaki István Pink
+ PDF Chat	Number of solutions to a special type of unit equations in two unknowns, III	2024	Takafumi Miyazaki István Pink
+ PDF Chat	Additive Diophantine Equations with Binary Recurrences, $${{\mathcal {S}}}$$-Units and Several Factorials	2023	Attila Bérczes Lajos Hajdu Florian Luca István Pink
+	Number of solutions to a special type of unit equations in two variables II	2022	Takafumi Miyazaki István Pink
+ PDF Chat	A note on the ternary Diophantine equation <i>x</i> <sup>2</sup> − <i>y</i> <sup>2</sup> <i> <sup>m</sup> </i> = z<i> <sup>n</sup> </i>	2021	Attila Bérczes LE Mao-hua István Pink Gökhan Soydan
+ PDF Chat	Diophantine equations connected to the Komornik polynomials	2020	András Bazsó Attila Bérczes Ondřej Kolouch István Pink Ján Šustek
+	Number of solutions to a special type of unit equations in two variables	2020	Takafumi Miyazaki István Pink
+	Sums of S-units in recurrence sequences	2018	Attila Bérczes Lajos Hajdu István Pink Sudhansu Sekhar Rout
+	Effective resolution of Diophantine equations of the form $$u_n+u_m=w p_1^{z_1} \cdots p_s^{z_s}$$ u n + u m = w p 1 z 1 ⋯ p s z s	2017	István Pink Volker Ziegler
+	Trinomials with integral<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml222" display="inline" overflow="scroll" altimg="si222.gif"><mml:mi>S</mml:mi></mml:math>-unit coefficients having a quadratic factor	2017	Attila Bérczes Florian Luca István Pink Volker Ziegler
+	On the Diophantine equation (x+ 1) + (x+ 2) + ... + (2x) =y	2017	Attila Bérczes István Pink Gamze Savaş Gökhan Soydan
+	On a variant of Pillai's problem II	2017	Kwok Chi Chim István Pink Volker Ziegler
+ PDF Chat	A Brocard-Ramanujan-type equation with Lucas and associated Lucas sequences	2017	István Pink Márton Szikszai
+ PDF Chat	On a variant of Pillai’s problem	2017	Kwok Chi Chim István Pink Volker Ziegler
+ PDF Chat	Linear combinations of prime powers in binary recurrence sequences	2016	Csanád Bertók Lajos Hajdu István Pink Zsolt Rábai
+	Effective Resolution of Diophantine equations of the form $u_n+u_m=w p_1^{z_1} \cdots p_s^{z_s}$	2016	István Pink Volker Ziegler
+	On the equation 1 + 2 + ⋯ +x=y for fixed x	2016	Attila Bérczes Lajos Hajdu Takafumi Miyazaki István Pink
+	Effective Resolution of Diophantine equations of the form $u_n+u_m=w p_1^{z_1} \cdots p_s^{z_s}$	2016	István Pink Volker Ziegler
+	On a variant of Pillai's problem II	2016	Kwok Chim István Pink Volker Ziegler
+	Finiteness results for Diophantine triples with repdigit values	2015	Attila Bérczes Florian Luca István Pink Volker Ziegler
+ PDF Chat	Finiteness results for Diophantine triples with repdigit values	2015	Attila Bérczes Florian Luca István Pink Volker Ziegler
+	Finiteness results for Diophantine triples with repdigit values	2015	Attila Bérczes Florian Luca István Pink Volker Ziegler
+ PDF Chat	On Generalized Lebesgue-Ramanujan-Nagell Equations	2014	Attila Bérczes István Pink
+ PDF Chat	Diophantine equations with Appell sequences	2014	András Bazsó István Pink
+ PDF Chat	On the Diophantine equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2014	Lajos Hajdu István Pink
+	On the Diophantine inequality \|X2-cXY2+Y4\| ≤ c+2	2013	Bo He István Pink Ákos Pintér Alain Togbé
+ PDF Chat	On the number of solutions of binomial Thue inequalities	2013	Zs. Rábai Michael A. Bennett István Pink
+	On the number of solutions of binomial Thue inequalities	2013	Michael A. Bennett István Pink Zsolt Rábai
+ PDF Chat	ON THE DIOPHANTINE EQUATION<i>x</i><sup>2</sup>+<i>d</i><sup>2<i>l</i>+ 1</sup>=<i>y<sup>n</sup></i>	2012	Attila Bérczes István Pink
+	On the diophantine equation $x^2+5^k17^l=y^n$	2011	István Pink Zsolt Rábai
+	On Generalized Balancing Sequences	2010	Attila Bérczes Kálmán Liptai István Pink
+	Explicit módszerek a diofantikus számelméletben = Explicit methods in diophantine number theory	2009	Ákos Pintér Attila Bérczes Lajos Hajdu István Járási Péter Olajos István Pink Csaba Rakaczki Szabolcs Tengely
+	On the diophantine equation x2 + p2k = yn	2008	Attila Bérczes István Pink
+	On the Diophantine equation $x^2+2^\alpha 3^\beta 5^\gamma 7^\delta =y^n$	2007	István Pink
+	On the diophantine equation x2+2a3b5g7d=yn	2007	István Pink
+	On the Diophantine equation $x^2+(p_1^{z_1}\cdots p_s^{z_s})^2=2y^n$	2004	István Pink
+	Full powers in arithmetic progressions	2000	István Pink Sz. Tengely

Common Coauthors

Coauthor	Papers Together
Attila Bérczes	16
Volker Ziegler	7
Florian Luca	7
Takafumi Miyazaki	5
Lajos Hajdu	4
Zsolt Rábai	3
Volker Ziegler	3
Csaba Sándor	2
Kwok Chi Chim	2
Gökhan Soydan	2
Lajos Hajdu	2
Ákos Pintér	2
András Bazsó	2
Michael A. Bennett	2
Zs. Rábai	1
Márton Szikszai	1
Csaba Rakaczki	1
Alain Togbé	1
Péter Olajos	1
Michael A. Bennett	1
Paul Thomas Young	1
Takafumi Miyazaki	1
Gamze Savaş	1
Kwok Chim	1
Kálmán Liptai	1
Ondřej Kolouch	1
Sudhansu Sekhar Rout	1
LE Mao-hua	1
Szabolcs Tengely	1
Ján Šustek	1
Ingrid Vukusic	1
Sz. Tengely	1
Csanád Bertók	1
Bo He	1
István Járási	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman	10
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	10
+ PDF Chat	Ternary Diophantine Equations via Galois Representations and Modular Forms	2004	Michael A. Bennett Chris M. Skinner	8
+ 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	7
+	The Algorithmic Resolution of Diophantine Equations	1998	Nigel P. Smart	6
+ PDF Chat	Linear forms in two logarithms and interpolation determinants II	2008	Laurent Michel	6
+	Primary cyclotomic units and a proof of Catalans conjecture	2004	Preda Mihăilescu	5
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	5
+ PDF Chat	On the equation $y^m = P(x)$	1976	Andrzej Schinzel R. Tijdeman	4
+ PDF Chat	ON THE DIOPHANTINE EQUATION x2 + 52k = yn	2006	Fadwa S. Abu Muriefah	4
+ PDF Chat	On the diophantine equation $x^2 - p^m = ±y^n$	1997	Yann Bugeaud	4
+ PDF Chat	On Some Exponential Equations of S. S. Pillai	2001	Michael A. Bennett	4
+	Diophantine equations	1969	L. J. Mordell	4
+ 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	4
+ PDF Chat	Factoring polynomials with rational coefficients	1982	A. K. Lenstra H. W. Lenstra László Lovász	4
+	Products of Prime Powers in Binary Recurrence Sequences Part I: The Hyperbolic Case, with an Application to the Generalized Ramanujan-Nagell Equation	1986	A. Pethő B.M.M. de Weger	4
+ PDF Chat	A Hasse-type principle for exponential Diophantine equations and its applications	2015	Csanád Bertók Lajos Hajdu	4
+	On the Diophantine Equation x2+q2k+1=yn	2002	Salmawaty Arif Fadwa S. Abu Muriefah	4
+	Power values of polynomials and binomial Thue--Mahler equations	2004	K. Győry I. Pink Ákos Pintér	4
+ PDF Chat	On the Diophantine equation<i>Cx</i><sup>2</sup>+<i>D</i>=<i>y</i><sup><i>n</i></sup>	1964	W. Ljunggren	3
+ PDF Chat	On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.	1983	T. N. Shorey C. L. Stewart	3
+	Some Exponential Diophantine Equations. I. The Equation D1x2 − D2y2 = λkz	1995	LE Mao-hua	3
+	On the Diophantine equation $S_m(x)=g(y)$	2004	Csaba Rakaczki	3
+	Minoration effective de la distancep-adique entre puissances de nombres algébriques	1996	Yann Bugeaud Laurent Michel	3
+	On some generalized Lebesgue–Nagell equations	2010	Hui Lin Zhu Mao Hua Le	3
+	On Cohn's conjecture concerning the diophantine equation¶ x 2 + 2 m = y n	2002	M. Le	3
+	The Generalized Fermat Equation	2016	Michael A. Bennett Preda Mihăilescu Samir Siksek	3
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation	2006	Yann Bugeaud Maurice Mignotte Samir Siksek	3
+ PDF Chat	Linear combinations of prime powers in binary recurrence sequences	2016	Csanád Bertók Lajos Hajdu István Pink Zsolt Rábai	3
+	Diophantine equationx 2 + 2 m =y n	1997	LE Mao-hua	3
+	On the diophantine equation x2 + p2k = yn	2008	Attila Bérczes István Pink	3
+	Logarithmic forms and group varieties.	1993	A. Baker Gisbert Wüstholz	3
+ PDF Chat	p-adic logarithmic forms and group varieties II	1999	Kunrui Yu	3
+	Solutions of some generalized Ramanujan-Nagell equations	2006	N. Saradha Anitha Srinivasan	3
+	THE DIOPHANTINE EQUATION x ² + c = y n: a brief overview	2006	Fadwa S. Abu Muriefah Yann Bugeaud	3
+ PDF Chat	Existence of primitive divisors of Lucas and Lehmer numbers	2001	Yonatan Bilu Guillaume Hanrot Paul Voutier	3
+	Unit Equations in Diophantine Number Theory	2015	Jan‐Hendrik Evertse Kálmán Győry	3
+	Solutions of some generalized Ramanujan--Nagell equations via binary quadratic forms	2007	N. Saradha Anitha Srinivasan	3
+	Perfect powers in second order linear recurrences	1982	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
+ PDF Chat	On the generalized Ramanujan-Nagell equation I	1981	Frits Beukers	2
+	There are only finitely many Diophantine quintuples	2004	Andrej Dujella	2
+ PDF Chat	Solving Thue equations without the full unit group	1999	Guillaume Hanrot	2
+	A new approach to Baker's theorem on linear forms in logarithms I	1987	Gisbert Wüstholz	2
+ PDF Chat	Über eine Diophantische Gleichung von Ramanujan-Nagell und ihre Verallgemeinerung	1966	Helmut Hasse	2
+ PDF Chat	On the equation <i>x</i><sup>2</sup> + 2<sup><i>a</i></sup> · 3<sup><i>b</i></sup> = <i>y</i><sup><i>n</i></sup>	2002	Florian Luca	2
+ PDF Chat	Bounds for the solutions of S-unit equations and decomposable form equations	2006	Kálmán Győry Kunrui Yu	2
+	On the power values of power sums	2007	Ákos Pintér	2
+	Upper bounds for the numbers of solutions of diophantine equations	1983	Jan‐Hendrik Evertse	2
+	Logarithmic forms and group varieties.	1993	A. Baker Gisbert Wüstholz	2