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Aurélien Bajolet
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All published works
Action
Title
Year
Authors
+
PDF
Chat
Computing integral points on Xns+(p)
2021
Aurélien Bajolet
Yuri Bilu
Benjamin Matschke
+
PDF
Chat
Bounding the $j$-invariant of integral points on $X_{\mathrm {ns}}^{+}(p)$
2014
Aurélien Bajolet
Min Sha
+
FINDING SINGULAR MODULI ON A COMPLEX LINE
2013
Aurélien Bajolet
+
Bounding $j$-invariant of integral points on $X_{\ns}^{+}(p)$
2012
Aurélien Bajolet
Min Sha
+
Bounding $j$-invariant of integral points on $X_{\ns}^{+}(p)$
2012
Aurélien Bajolet
Min Sha
+
On the Diophantine equation $x^4-q^4=py^r$
2011
Aurélien Bajolet
Benjamin Dupuy
Florian Luca
Alain Togbé
+
On the Diophantine equation x4-q4 = pyr
2011
Aurélien Bajolet
Benjamin Dupuy
Florian Luca
Alain Togbé
Common Coauthors
Coauthor
Papers Together
Min Sha
3
Florian Luca
2
Alain Togbé
2
Benjamin Dupuy
2
Yuri Bilu
1
Benjamin Matschke
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Solving Thue Equations of High Degree
1996
Yuri Bilu
Guillaume Hanrot
4
+
A modular curve of level 9 and the class number one problem
2008
Burcu Baran
3
+
An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers
1998
E M Matveev
3
+
Introduction to Cyclotomic Fields
1982
Lawrence C. Washington
3
+
Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem
2010
Burcu Baran
3
+
PDF
Chat
Serre's uniformity problem in the split Cartan case
2011
Yuri Bilu
Pierre Parent
3
+
PDF
Chat
Runge's Method and Modular Curves
2010
Bilu Ye
Pierre Parent
3
+
Zum Beweise des Starkschen Satzes
1968
Carl Ludwig Siegel
3
+
A note on the integral points of a modular curve of level 7
1985
M. A. Kenku
3
+
Effective analysis of integral points on algebraic curves
1995
Yuri Bilu
3
+
Introduction to the Arithmetic Theory of Automorphic Functions
1972
Marvin Tretkoff
Goro Shimura
3
+
Lectures on the Mordell-Weil Theorem
1997
Jean-Pierre Serre
2
+
PDF
Chat
Effective Siegel's theorem for modular curves
2011
Yuri Bilu
Marco Illengo
2
+
An Upper Bound for the Size of Integral Solutions to Ym=ƒ(X)
1995
Paul Voutier
2
+
Exponential Diophantine Equations
1986
T. N. Shorey
R. Tijdeman
2
+
PDF
Chat
Upper Bounds on |L(1, χ)| and Applications
1998
Stéphane Louboutin
2
+
Rational Points on X<sub>O</sub><sup>+</sup>(p)
1999
Steven D. Galbraith
2
+
PDF
Chat
Rational points on X_0^+ (p^r )
2013
Yuri Bilu
Pierre Parent
Marusia Rebolledo
2
+
PDF
Chat
Lectures on the Mordell-Weil Theorem
1989
Jean-Pierre Serre
2
+
PDF
Chat
On the practical solution of the Thue equation
1989
Nikos Tzanakis
B.M.M. de Weger
2
+
ESTIMATES FOR THE SOLUTIONS OF CERTAIN DIOPHANTINE EQUATIONS BY RUNGE'S METHOD
2008
A. Sankaranarayanan
N. Saradha
2
+
Diophantine Approximation on Linear Algebraic Groups
2000
Michel Waldschmidt
2
+
PDF
Chat
Bounding the j-invariant of Integral Points on Modular Curves
2013
Min Sha
2
+
PDF
Chat
Integral points on hyperelliptic curves
2008
Yann Bugeaud
Maurice Mignotte
Samir Siksek
Michael Stoll
Szabolcs Tengely
2
+
Ratios of regulators in totally real extensions of number fields
1991
Antone Costa
Eduardo Friedman
2
+
Bounds for the solutions of the hyperelliptic equation
1969
A. Baker
1
+
Linear forms in the logarithms of algebraic numbers
1966
A. Baker
1
+
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
1
+
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
1
+
PDF
Chat
An effective result of André–Oort type II
2013
Lars Kühne
1
+
Integer points on curves of genus 1
1992
Wolfgang M. Schmidt
1
+
Class numbers of real cyclic number fields with small conductor
1978
John Myron Masley
1
+
PDF
Chat
Bounding the $j$-invariant of integral points on $X_{\mathrm {ns}}^{+}(p)$
2014
Aurélien Bajolet
Min Sha
1
+
On some arithmetic properties of Siegel functions
2008
Ja Kyung Koo
Dong Hwa Shin
1
+
Rational points on X_0^+ (p^r)
2011
Yu. Bilu
Pierre Parent
Marusia Rebolledo
1
+
PDF
Chat
Explicit Chabauty–Kim for the split Cartan modular curve of level 13
2019
Jennifer S. Balakrishnan
Netan Dogra
J. Steffen Müller
Jan Tuitman
Jan Vonk
1
+
Bounding $j$-invariant of integral points on $X_{\ns}^{+}(p)$
2012
Aurélien Bajolet
Min Sha
1
+
PDF
Chat
Integral points of a modular curve of level 11
2011
René Schoof
Nikos Tzanakis
1
+
PDF
Chat
On the Diophantine equation x<sup>2</sup>+q<sup>2m</sup>=2y<sup>p</sup>
2007
Sz. Tengely
1
+
PDF
Chat
A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
1962
Paul T. Bateman
Roger A. Horn
1
+
Elliptic Functions
1987
Serge Lang
1
+
PDF
Chat
Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
1985
U. Fincke
M. Pohst
1
+
An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
2000
E M Matveev
1
+
Units in the modular function field. I
1975
Dan Kubert
Serge Lang
1
+
PDF
Chat
Computing integral points on X_ns^+(p)
2018
A Bajolet
Yuri Bilu
Benjamin Matschke
1
+
Solving S-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via Shimura-Taniyama conjecture
2016
Rafael von Känel
Benjamin Matschke
1
+
An explicit bound for integral points on modular curves
2019
Yulin Cai
1
+
PDF
Chat
Topics in elliptic and modular curves
2013
Min Sha
1
+
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
1
+
PDF
Chat
Addendum to the paper "On the product of the conjugates outside the unit circle of an algebraic number"
1975
Andrzej Schinzel
1