Sz. Tengely

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All published works

Action	Title	Year	Authors
+	Square values of Littlewood polynomials	2024	Lajos Hajdu O. Herendi Sz. Tengely Norbert Varga
+	Cryptanalysis of ITRU	2020	Hayder R. Hashim Ангелика Молнар Sz. Tengely
+	Cryptanalysis of ITRU	2020	Hayder R. Hashim Ангелика Молнар Sz. Tengely
+	On the Diophantine equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mtable><mml:mtr><mml:mtd><mml:mi>n</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>k</mml:mi></mml:mtd></mml:mtr></mml:mtable><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mtable><mml:mtr><mml:mtd><mml:mi>m</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>l</mml:mi></mml:…	2019	Homero R. Gallegos-Ruiz Nikos Katsipis Sz. Tengely Maciej Ulas
+ PDF Chat	Diophantine equations related to reciprocals of linear recurrence sequences	2019	Hayder R. Hashim Sz. Tengely
+	Representations of reciprocals of Lucas sequences	2018	Hayder R. Hashim Sz. Tengely
+	On a problem of Pethő	2017	Sz. Tengely Maciej Ulas
+	On certain Diophantine equations of the form z2=f(x)2±g(y)2	2016	Sz. Tengely Maciej Ulas
+	On products of disjoint blocks of arithmetic progressions and related equations	2016	Sz. Tengely Maciej Ulas
+	Integral Points on Hyperelliptic Curves	2008	Yann Bugeaud Max Mignotte Samir Siksek Michael Stoll Sz. Tengely
+ PDF Chat	Note on the paper ``An extension of a theorem of Euler" by Hirata-Kohno et al. (Acta Arith. 129 (2007), 71–102)	2008	Sz. Tengely
+ PDF Chat	On the Diophantine equation x<sup>2</sup>+q<sup>2m</sup>=2y<sup>p</sup>	2007	Sz. Tengely
+ PDF Chat	Arithmetic progressions consisting of unlike powers	2006	Nils Bruin Kálmán Győry Lajos Hajdu Sz. Tengely
+	An implementation of Runge's method for Diophantine equations	2005	Frits Beukers Sz. Tengely
+	Arithmetic progressions consisting of unlike powers	2005	Nils Bruin Kálmán Győry Lajos Hajdu Sz. Tengely
+ PDF Chat	On the diophantine equations x2 + a2 = 2yp	2004	Sz. Tengely
+ PDF Chat	On the Diophantine equation F(x)=G(y)	2003	Sz. Tengely
+	Full powers in arithmetic progressions	2000	István Pink Sz. Tengely

Common Coauthors

Coauthor	Papers Together
Maciej Ulas	4
Hayder R. Hashim	4
Lajos Hajdu	3
Kálmán Győry	2
Nils Bruin	2
Ангелика Молнар	2
Samir Siksek	1
Norbert Varga	1
Homero R. Gallegos-Ruiz	1
O. Herendi	1
Michael Stoll	1
István Pink	1
Max Mignotte	1
Frits Beukers	1
Yann Bugeaud	1
Nikos Katsipis	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	6
+ PDF Chat	Implementing 2-descent for Jacobians of hyperelliptic curves	2001	Michael Stoll	5
+ 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	4
+ PDF Chat	Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms	1994	R. J. Stroeker Nikos Tzanakis	4
+	Full powers in arithmetic progressions	2000	István Pink Sz. Tengely	4
+ PDF Chat	Computing integral points on elliptic curves	1994	Josef Gebel A. Pethö Horst G. Zimmer	4
+	Bounds for the solutions of the hyperelliptic equation	1969	A. Baker	4
+	Diophantine equations	1969	L. J. Mordell	4
+	Chabauty methods and covering techniques applied to generalized Fermat equations	2002	Nils Bruin	4
+ PDF Chat	Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations	1996	Nikos Tzanakis	3
+ PDF Chat	Two-cover descent on hyperelliptic curves	2009	Nils Bruin Michael Stoll	3
+	Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2	1996	J. W. S. Cassels E. V. Flynn	3
+	Powers from Products of Consecutive Terms in Arithmetic Progression	2006	Michael A. Bennett Nils Bruin Kálmán Győry Lajos Hajdu	3
+ PDF Chat	On the height constant for curves of genus two, II	2002	Michael Stoll	3
+ PDF Chat	On the diophantine equation $x^2 - p^m = ±y^n$	1997	Yann Bugeaud	2
+ PDF Chat	Thue equations with composite fields	1999	Yuri Bilu Guillaume Hanrot	2
+ PDF Chat	A quantitative version of Runge's theorem on diophantine equations	1992	Peter Walsh	2
+	On the Diophantine equation $x^2+p^2=y^n$	2003	LE Mao-hua	2
+ PDF Chat	Perfect powers in arithmetic progression. A note on the inhomogeneous case	2004	Lajos Hajdu	2
+ PDF Chat	The diophantine equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$x^2 + 3^m = y^n$" id="E1"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mn>3</mml:mn><mml:mi>m</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math>	1996	Salmawaty Arif Fadwa S. Abu Muriefah	2
+ PDF Chat	On the diophantine equation $px^2+3^n=y^p$	2000	Fadwa S. Abu Muriefah	2
+	Effective analysis of integral points on algebraic curves	1995	Yuri Bilu	2
+ PDF Chat	None	1997	Yann Bugeaud	2
+	Computing integral points on genus 2 curves estimating hyperelliptic logarithms	2019	Homero R. Gallegos-Ruiz	2
+ PDF Chat	On the Diophantine equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$Ax^2 + 2^{2m} = y^n" id="E1"><mml:mi>A</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>	2001	Fadwa S. Abu Muriefah	2
+ PDF Chat	On the height constant for curves of genus two	1999	Michael Stoll	2
+ PDF Chat	The product of consecutive integers is never a power	1975	Paul Erdős J. L. Selfridge	2
+	Effective Methods for Diophantine Equations	2005	Szabolcs Tengely	2
+ PDF Chat	On the diophantine equations x2 + a2 = 2yp	2004	Sz. Tengely	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
+	Elliptic binomial diophantine equations	1999	R. J. Stroeker Benjamin de Weger	2
+	On the Diophantine Equation x2+q2k+1=yn	2002	Salmawaty Arif Fadwa S. Abu Muriefah	2
+ PDF Chat	Solving Thue equations without the full unit group	1999	Guillaume Hanrot	2
+ PDF Chat	On the integer solutions of<i>y</i>(<i>y</i>+ 1) =<i>x</i>(<i>x</i>+ 1)(<i>x</i>+ 2)	1963	L. J. Mordell	2
+ PDF Chat	An extension of a theorem of Euler	2007	Noriko Hirata-Kohno Shanta Laishram T. N. Shorey R. Tijdeman	2
+ PDF Chat	None	1997	E. V. Flynn	2
+	Chabauty methods using elliptic curves	2003	Nils Bruin	2
+ 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	2
+	On the diophantine equationD 1 x 2+D 2 m =4y n	1995	LE Mao-hua	2
+ PDF Chat	Canonical heights on the Jacobians of curves of genus 2 and the infinite descent	1997	E. V. Flynn Nigel P. Smart	2
+ PDF Chat	On a diophantine equation	1998	Fadwa S. Abu Muriefah Salmawaty Arif	2
+ PDF Chat	Existence of primitive divisors of Lucas and Lehmer numbers	2001	Yonatan Bilu Guillaume Hanrot Paul Voutier	2
+ 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	2
+	Solving Thue Equations of High Degree	1996	Yuri Bilu Guillaume Hanrot	2
+	A BINOMIAL DIOPHANTINE EQUATION	1996	B.M.M. de Weger	2
+ PDF Chat	On the Diophantine equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$x^2 + 2^k = y^n $" id="E1"><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mi>k</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>	1995	Salmawaty Arif Fadwa S. Abu Muriefah	2
+	Powers in Arithmetic Progression	2002	T. N. Shorey	1
+	Elementary Theory of Numbers	1988	Wacław Sierpiński	1
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	1
+	The classification of rational preperiodic points of quadratic polynomials over ${\Bbb Q}$ : a refined conjecture	1998	Bjorn Poonen	1