Homero R. Gallegos-Ruiz

Generating author description...

All published works

Action	Title	Year	Authors
+	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
+	Computing integral points on genus 2 curves estimating hyperelliptic logarithms	2019	Homero R. Gallegos-Ruiz
+	On the Diophantine equation $\binom{n}{k}=\binom{m}{l}+d$	2019	Homero R. Gallegos-Ruiz Nikolaos Katsipis Szabolcs Tengely Maciej Ulas
+	S-INTEGRAL POINTS ON HYPERELLIPTIC CURVES	2011	Homero R. Gallegos-Ruiz

Common Coauthors

Coauthor	Papers Together
Maciej Ulas	2
Nikos Katsipis	1
Szabolcs Tengely	1
Sz. Tengely	1
Nikolaos Katsipis	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms	1994	R. J. Stroeker Nikos Tzanakis	3
+ PDF Chat	On the height constant for curves of genus two, II	2002	Michael Stoll	3
+	Bounds for the solutions of the hyperelliptic equation	1969	A. Baker	3
+ PDF Chat	Implementing 2-descent for Jacobians of hyperelliptic curves	2001	Michael Stoll	3
+ PDF Chat	Integral points on hyperelliptic curves	2008	Yann Bugeaud Maurice Mignotte Samir Siksek Michael Stoll Szabolcs Tengely	3
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	3
+	A BINOMIAL DIOPHANTINE EQUATION	1996	B.M.M. de Weger	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
+	An Explicit Theory of Heights for Hyperelliptic Jacobians of Genus Three	2017	Michael Stoll	2
+	On the number of solutions of the Diophantine equation	2003	Csaba Sándor	2
+ PDF Chat	Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves	2019	Jennifer S. Balakrishnan Francesca Bianchi Victoria Cantoral‐Farfán Mirela Çiperiani Anastassia Etropolski	2
+	Computing integral points on genus 2 curves estimating hyperelliptic logarithms	2019	Homero R. Gallegos-Ruiz	2
+	Diophantine equations coming from binomial near-collisions	2019	Nikos Katsipis	2
+ PDF Chat	Computing integral points on elliptic curves	1994	Josef Gebel A. Pethö Horst G. Zimmer	2
+	Binomial collisions and near collisions	2017	Aart Blokhuis AE Andries Brouwer Bmm Benne de Weger	2
+	Elliptic binomial diophantine equations	1999	R. J. Stroeker Benjamin de Weger	2
+ PDF Chat	Two-cover descent on hyperelliptic curves	2009	Nils Bruin Michael Stoll	2
+ PDF Chat	Factoring polynomials with rational coefficients	1982	A. K. Lenstra H. W. Lenstra László Lovász	2
+ PDF Chat	Finding rational points on bielliptic genus 2 curves	1999	E. V. Flynn Joseph L. Wetherell	1
+ PDF Chat	A NOTE ON THE DIOPHANTINE EQUATION	2013	MOU JIE DENG	1
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс	1
+ PDF Chat	Bounds for the solutions of S-unit equations and decomposable form equations	2006	Kálmán Győry Kunrui Yu	1
+	2-Descent on the Jacobians of Hyperelliptic Curves	1995	Edward F. Schaefer	1
+	An Upper Bound for the Size of Integral Solutions to Ym=ƒ(X)	1995	Paul Voutier	1
+	P-adic logarithmic forms and group varieties III	2007	Kunrui Yu	1
+ PDF Chat	Deciding Existence of Rational Points on Curves: An Experiment	2008	Nils Bruin Michael Stoll	1
+	S-INTEGRAL POINTS ON HYPERELLIPTIC CURVES	2011	Homero R. Gallegos-Ruiz	1
+ PDF Chat	None	1997	Yann Bugeaud	1
+	Effective analysis of integral points on algebraic curves	1995	Yuri Bilu	1
+	Trinomials ax 7 + bx + c and ax 8 + bx + c with Galois Groups of Order 168 and 8 · 168	2002	Nils Bruinco Noam D. Elkies	1
+ PDF Chat	Bounds for the solutions of Thue-Mahler equations and norm form equations	1996	Yann Bugeaud Kálmán Győry	1
+	EXPLICIT DESCENT FOR JACOBIANS OF CYCLIC COVERS OF THE PROJECTIVE LINE	1997	Bjorn Poonen Edward F. Schaefer	1
+	Solutions entières de l’équation Ym = f(X)	1991	D. Poulakis	1
+	Chabauty methods and covering techniques applied to generalized Fermat equations	2002	Nils Bruin	1
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	1
+ PDF Chat	The Mordell–Weil sieve: proving non-existence of rational points on curves	2010	Nils Bruin Michael Stoll	1
+	Research Directions in Number Theory	2019	Jennifer S. Balakrishnan Amanda Folsom Matilde Laĺın Michelle Manes	1
+ PDF Chat	On the height constant for curves of genus two	1999	Michael Stoll	1
+	Elliptic Diophantine Equations	2013	Nikos Tzanakis	1
+	Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory	2017	Gebhard Böckle Wolfram Decker Gunter Malle	1
+	Binomial collisions and near collisions	2017	Aart Blokhuis Andries E. Brouwer Benne de Weger	1
+	A note on the Diophantine equation $\binom{x}{4}=\binom{y}{2}$	1995	Ákos Pintér	1
+	On a special superelliptic equation	2022	B. Brindza	1
+	The Quadratic Field Q(√5) and a Certain Diophantine Equation	1968	D. A. Lind	1
+	Repeated Binomial Coefficients and Fibonacci Numbers	1975	David Singmaster	1
+	Jacobian theta functions and differential equations	1984	David Mumford	1
+	Elliptic Diophantine Equations: A Concrete Approach Via the Elliptic Logarithm	2013	Nikos Tzanakis	1
+ PDF Chat	An effective lower bound for the height of algebraic numbers	1996	Paul Voutier	1
+ PDF Chat	Bounds for the solutions of unit equations	1996	Yann Bugeaud Kálmán Győry	1
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	1