Yuri Bilu

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All published works

Action	Title	Year	Authors
+	Twisted rational zeros of linear recurrence sequences	2024	Yuri Bilu Florian Luca Joris Nieuwveld Joël Ouaknine James Worrell
+ PDF Chat	On the 𝑝-adic zeros of the Tribonacci sequence	2023	Yuri Bilu Florian Luca Joris Nieuwveld Joël Ouaknine James Worrell
+ PDF Chat	On a non-Archimedean analogue of a question of Atkin and Serre	2023	Yuri Bilu Sanoli Gun Sunil L. Naik
+ PDF Chat	Big prime factors in orders of elliptic curves over finite fields	2023	Yuri Bilu Haojie Hong Florian Luca
+	The Chevalley-Bass Theorem	2023	Yuri Bilu
+	Effective multiplicative independence of 3 singular moduli	2022	Yuri Bilu Sanoli Gun Emanuele Tron
+	Skolem Meets Schanuel	2022	Yuri Bilu Florian Luca Joris Nieuwveld Joël Ouaknine David Purser James Worrell
+	On the $p$-adic zeros of the Tribonacci sequence	2022	Yuri Bilu Florian Luca Joris Nieuwveld Joël Ouaknine James Worrell
+	Uniform explicit Stewart theorem on prime factors of linear recurrences	2022	Yuri Bilu Sanoli Gun Haojie Hong
+ PDF Chat	Trinomials, singular moduli and Riffaut's conjecture	2021	Yuri Bilu Florian Luca Amalia Pizarro-Madariaga
+ PDF Chat	Computing integral points on Xns+(p)	2021	Aurélien Bajolet Yuri Bilu Benjamin Matschke
+	Uniform explicit Stewart's theorem on prime factors of linear recurrences	2021	Yuri Bilu Haojie Hong Sanoli Gun
+	Big prime factors in orders of elliptic curves over finite fields	2021	Yuri Bilu Haojie Hong Florian Luca
+ PDF Chat	Binary polynomial power sums vanishing at roots of unity	2020	Yuri Bilu Florian Luca
+ PDF Chat	Separating singular moduli and the primitive element problem	2020	Yuri Bilu Bernadette Faye Huilin Zhu
+	Trinomials, singular moduli and Riffaut's conjecture	2020	Yuri Bilu Florian Luca Amalia Pizarro-Madariaga
+	Binary polynomial power sums vanishing at roots of unity	2020	Yuri Bilu Florian Luca
+	Elliptic curves over finite fields with Fibonacci numbers of points	2020	Yuri Bilu Carlos A. Gómez Jhonny C. Gómez Florian Luca
+ PDF	Trinomials with given roots	2019	Yuri Bilu Florian Luca
+	Trinomials with given roots	2019	Yuri Bilu Florian Luca
+	Generalized Cullen numbers in linear recurrence sequences	2019	Yuri Bilu Diego Marques Alain Togbé
+	Separating singular moduli and the primitive element problem	2019	Yuri Bilu Bernadette Faye Huilin Zhu
+	Trinomials with given roots	2019	Yuri Bilu Florian Luca
+ PDF Chat	No Singular Modulus Is a Unit	2018	Yuri Bilu Philipp Habegger Lars Kühne
+ PDF Chat	Computing integral points on X_ns^+(p)	2018	A Bajolet Yuri Bilu Benjamin Matschke
+ PDF Chat	Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms	2018	Yuri Bilu Jean-Marc Deshouillérs Sanoli Gun Florian Luca
+ PDF Chat	Linear Equations in Singular Moduli	2018	Yuri Bilu Lars Kühne
+ PDF Chat	Chevalley–Weil theorem and subgroups of class groups	2018	Yuri Bilu Jean Gillibert
+ PDF Chat	Linear Equations in Singular Moduli	2018	Yuri Bilu Lars Kühne
+	Generalized Cullen Numbers in Linear Recurrence Sequences	2018	Yuri Bilu Diego Marques Alain Togb ' e
+ PDF	Diophantine equations with products of consecutive members of binary recurrences	2017	Attila Bérczes Yuri Bilu Florian Luca
+ PDF Chat	Number fields in fibers: the geometrically abelian case with rational critical values	2017	Yuri Bilu Florian Luca
+ PDF	Collinear CM-points	2017	Yuri Bilu Florian Luca David Masser
+ PDF	Erratum to: Counting number fields in fibers (with an Appendix by Jean Gillibert)	2017	Yuri Bilu
+	Counting number fields in fibers (with an Appendix by Jean Gillibert)	2017	Yuri Bilu
+	On the erratic behavior of the Ramanujan \tau-function in short intervals	2017	Yuri Bilu Florian Luca
+	Erratic behavior of Fourier-coefficients of modular forms in short intervals	2017	Yuri Bilu Jean-Marc Deshouillérs Sanoli Gun Florian Luca
+	Diversity in Parametric Families of Number Fields	2017	Yu. Bilu Florian Luca
+ PDF	On a divisibility relation for Lucas sequences	2016	Yuri Bilu Takao Komatsu Florian Luca Amalia Pizarro-Madariaga Pantelimon Stănică
+	Chevalley-Weil Theorem and Subgroups of Class Groups	2016	Yuri Bilu Jean Gillibert
+	Counting Number Fields in Fibers	2016	Yuri Bilu Jean Gillibert
+	Number Fields in Fibers: the Geometrically Abelian Case with Rational Critical Values	2016	Yuri Bilu Florian Luca
+	Diversity in Parametric Families of Number Fields	2016	Yuri Bilu Florian Luca
+	Rational products of singular moduli	2015	Yuri Bilu Florian Luca Amalia Pizarro-Madariaga
+ PDF Chat	Rational points on analytic varieties	2015	Alexey Beshenov Margaret Bilu Yuri Bilu Purusottam Rath
+	CM-Points on Straight Lines	2015	Bill Allombert Yuri Bilu Amalia Pizarro-Madariaga
+	On a divisibility relation for Lucas sequences	2015	Yuri Bilu Takao Komatsu Florian Luca Amalia Pizarro-Madariaga Pantelimon Stănică
+	The Problem of Catalan	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Rational points on analytic varieties	2014	Alexey Beshenov Margaret Bilu Yuri Bilu Purusottam Rath
+	Rational points on analytic varieties: results and applications (after Bombieri, Pila, Wilkie, Zannier...)	2014	Yuri Bilu Alexey Beshenov Margaret Bilu Purusottam Rath
+	CM-Points on Straight Lines	2014	Bill Allombert Yuri Bilu Amalia Pizarro-Madariaga
+	Higher Divisibility Theorems	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Dirichlet L-Series and Class Number Formulas	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Selmer Group and Proof of Catalan’s Conjecture	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Baker’s Method and Tijdeman’s Argument	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	The Real Part of Mihăilescu’s Ideal	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Rational Products of Singular Moduli	2014	Yuri Bilu Florian Luca Amalia Pizarro-Madariaga
+	The Problem of Catalan	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Even Exponents	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Cyclotomic Fields	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Gauss Sums and Stickelberger’s Theorem	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Cassels’ Relations	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	Cyclotomic Units	2014	Yuri Bilu Yann Bugeaud Maurice Mignotte
+	CM-Points on Straight Lines	2014	Bill Allombert Yuri Bilu Amalia Pizarro-Madariaga
+	Rational points on analytic varieties	2014	Alexey Beshenov Margaret Bilu Yuri Bilu Purusottam Rath
+ PDF	Quantitative Chevalley–Weil theorem for curves	2013	Yuri Bilu Marco Strambi Andrea Surroca
+ PDF	REMARKS ON EISENSTEIN	2013	Yuri Bilu Alexander Borichev
+ PDF	Rational points on X_0^+ (p^r )	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations	2013	Yuri Bilu Clemens Fuchs Florian Luca Ákos Pintér
+ PDF	On the exponential local-global principle	2013	Boris Bartolomé Yuri Bilu Florian Luca
+	Diophantine equations involving some classical counting functions	2013	Yuri Bilu Florian Luca Clemens Fuchs Ákos Pintér
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	Rational Points on $X_0^+(p^r)$	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+	An effective “Theorem of André” for <i>CM</i>-points on a plane curve	2012	Yuri Bilu Umberto Zannier David Masser
+	Remarks on Eisenstein	2011	Yuri Bilu Alexander Borichev
+ PDF Chat	Effective Siegel's theorem for modular curves	2011	Yuri Bilu Marco Illengo
+ PDF	Serre's uniformity problem in the split Cartan case	2011	Yuri Bilu Pierre Parent
+	Remarks on Eisenstein	2011	Yuri Bilu Alexander Borichev
+ PDF	Quantitative Riemann existence theorem over a number field	2010	Yuri Bilu Marco Strambi
+	CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS	2009	Paraskevas Alvanos Yuri Bilu Dimitrios Poulakis
+	The Many Faces of the Subspace Theorem (after Adamczewski, Bugeaud, Corvaja, Zannier...)	2009	Yuri Bilu
+	Quantitative Chevalley-Weil theorem for curves	2009	Yuri Bilu Marco Strambi Andrea Surroca
+	Rational Points on X_split(p) and X_split(p^2)	2008	Yuri Bilu Pierre Parent
+	Serre's uniformity problem in the split Cartan case	2008	Yuri Bilu Pierre Parent
+	Integral SjS-invariants and Cartan structures for elliptic curves	2008	Yuri Bilu Pierre Parent
+	Bounds for Integral j -Invariants and Cartan Structures on Elliptic Curves	2008	Yuri Bilu Pierre Parent
+	A Quick Proof of Sprindzhuk’s Decomposition Theorem	2006	Yuri Bilu David Masser
+	Divisibility of Class Numbers: Enumerative Approach	2005	Yuri Bilu Florian Luca
+ PDF	Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)	2005	Yuri Bilu
+ PDF	Index form equations in sextic fields: a hard computation	2004	Yuri Bilu István Gaál Kálmán Győry
+	Divisibility of class numbers: enumerative approach	2004	Yuri Bilu Florian Luca
+	Catalan’s conjecture	2003	Yuri Bilu
+	A Panorama of Number Theory <i>or</i> The View from Baker's Garden	2002	Gisbert Wüstholz Gisbert Wüstholz Gisbert Wüstholz Kunrui Yu Sinnou David Kálmán Győry Yuri Bilu Paula B. Cohen Jürgen Wolfart Peter Sarnak
+	Baker's Method and Modular Curves	2002	Yuri Bilu
+	On Le's and Bugeaud's Papers about the Equation ax 2 + b 2m−1 = 4 c p	2002	Yuri Bilu
+	None	2000	Yuri Bilu Thomas Stoll Robert F. Tichy
+ PDF	Démonstration du théorème de Baker-Feldman via les formes linéaires en deux logarithmes	2000	Yuri Bilu Yann Bugeaud
+ PDF	The Diophantine equation f(x) = g(y)	2000	Yuri Bilu Robert F. Tichy
+ PDF	Thue equations with composite fields	1999	Yuri Bilu Guillaume Hanrot
+ PDF	Quadratic factors of f(x) -g(y)	1999	Yuri Bilu
+	The (α+2β)-Inequality on a Torus	1998	Yuri Bilu
+	Sum-Free Sets and Related Sets	1998	Yuri Bilu
+ PDF	Rectification Principles in Additive Number Theory	1998	Yuri Bilu Vsevolod F. Lev Imre Z. Ruzsa
+ PDF	None	1998	Yuri Bilu Guillaume Hanrot
+	Integral points of Galois covers	1998	Yuri Bilu
+	Limit distribution of small points on algebraic tori	1997	Yuri Bilu
+	Addition of Sets of Integers of Positive Density	1997	Yuri Bilu
+ PDF	None	1997	Yuri Bilu
+	Solving Thue Equations of High Degree	1996	Yuri Bilu Guillaume Hanrot
+	A note on universal Hilbert sets.	1996	Yuri Bilu
+ PDF	Polynomials with roots modulo every integer	1996	Daniel Berend Yuri Bilu
+	Effective analysis of integral points on algebraic curves	1995	Yuri Bilu

Common Coauthors

Coauthor	Papers Together
Florian Luca	32
Pierre Parent	14
Maurice Mignotte	12
Yann Bugeaud	12
Amalia Pizarro-Madariaga	9
Marusia Rebolledo	9
Sanoli Gun	6
Purusottam Rath	4
David Masser	4
Joël Ouaknine	4
Haojie Hong	4
James Worrell	4
Joris Nieuwveld	4
Lars Kühne	3
Guillaume Hanrot	3
Bill Allombert	3
Marco Strambi	3
Jean Gillibert	3
Alexander Borichev	3
Alexey Beshenov	2
Jean-Marc Deshouillérs	2
Ákos Pintér	2
Clemens Fuchs	2
Pantelimon Stănică	2
Benjamin Matschke	2
Alexey Beshenov	2
Margaret Bilu	2
Andrea Surroca	2
Margaret Bilu	2
Diego Marques	2
Bernadette Faye	2
Takao Komatsu	2
Huilin Zhu	2
Kálmán Győry	2
Robert F. Tichy	2
Sunil L. Naik	1
Dimitrios Poulakis	1
Umberto Zannier	1
G. A. Margulis	1
A Bajolet	1
Jürgen Wolfart	1
Jan‐Hendrik Evertse	1
Enrico Bombieri	1
Kunrui Yu	1
Sinnou David	1
Герд Фалтингс	1
Daniel Berend	1
Alain Togbé	1
Emanuele Tron	1
Alain Togb ' e	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	13
+ PDF	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	11
+	Rational products of singular moduli	2015	Yuri Bilu Florian Luca Amalia Pizarro-Madariaga	9
+ PDF	An effective result of André–Oort type II	2013	Lars Kühne	7
+	Über einige Anwendungen diophantischer Approximationen	2014	Carl Ludwig Siegel	7
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	7
+ PDF	An effective result of André-Oort type	2012	Lars Kühne	7
+ PDF	O-minimality and the André-Oort conjecture for C^n	2011	Jonathan Pila	7
+	Lectures on the Mordell-Weil Theorem	1997	Jean-Pierre Serre	7
+	Logarithmic forms and group varieties.	1993	A. Baker Gisbert Wüstholz	6
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	6
+	Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire	1998	Yves André	6
+	Effective analysis of integral points on algebraic curves	1995	Yuri Bilu	6
+	An effective “Theorem of André” for <i>CM</i>-points on a plane curve	2012	Yuri Bilu Umberto Zannier David Masser	6
+	Linear forms in the logarithms of algebraic numbers	1966	A. Baker	6
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman	6
+ PDF	Rational points in periodic analytic sets and the Manin–Mumford conjecture	2008	Jonathan Pila Umberto Zannier	5
+	Construction and estimation of bases in function fields	1991	Wolfgang M. Schmidt	5
+	Lower bounds for height functions	1984	Joseph H. Silverman	5
+	On the number of integral points on algebraic curves	2003	Pietro Corvaja Umberto Zannier	5
+ PDF	None	1998	Bas Edixhoven	5
+	CM-Points on Straight Lines	2015	Bill Allombert Yuri Bilu Amalia Pizarro-Madariaga	5
+	Bounds for the solutions of the hyperelliptic equation	1969	A. Baker	5
+ PDF	On natural radii of 𝑝-adic convergence	1979	Bernard Dwork Philippe Robba	5
+ PDF	Lectures on the Mordell-Weil Theorem	1989	Jean-Pierre Serre	5
+	Fields containing values of algebraic functions	1994	Roberto Dvornicich Umberto Zannier	5
+ PDF	None	1997	Yuri Bilu	5
+ PDF	Primes of the form x<sup>2 </sup>+ ny<sup>2</sup>	2012	K. Raja Rama Gandhi	5
+	An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II	2000	E M Matveev	4
+	The Eisenstein constant	1992	Bernard Dwork Alfred J. van der Poorten	4
+	Logarithmic forms and group varieties.	1993	A. Baker Gisbert Wüstholz	4
+ PDF	None	1998	Yuri Bilu Guillaume Hanrot	4
+ PDF	REMARKS ON EISENSTEIN	2013	Yuri Bilu Alexander Borichev	4
+ PDF	Equations with powers of singular moduli	2018	Antonin Riffaut	4
+	Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type	2009	Jonathan Pila	4
+ PDF	Existence of primitive divisors of Lucas and Lehmer numbers	2001	Yonatan Bilu Guillaume Hanrot Paul Voutier	4
+ PDF	Quantitative Chevalley–Weil theorem for curves	2013	Yuri Bilu Marco Strambi Andrea Surroca	4
+	None	2001	Florian Breuer	4
+ PDF	Eisenstein's theorem on power series expansions of algebraic functions	1990	Wolfgang M. Schmidt	4
+ PDF	Estimating isogenies on elliptic curves	1990	David Masser G. W�stholz	4
+ PDF	Quelques applications du théorème de densité de Chebotarev	1981	Jean-Pierre Serre	4
+ PDF	On a question of Lehmer and the number of irreducible factors of a polynomial	1979	Edward Dobrowolski	4
+	Integer points on curves of genus 1	1970	A. Baker J. Coates	4
+ PDF	On the practical solution of the Thue equation	1989	Nikos Tzanakis B.M.M. de Weger	4
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	4
+	Contributions to the theory of diophantine equations I. On the representation of integers by binary forms	1968	A. Baker	4
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler	4
+ PDF	Module supersingulier, formule de Gross–Kudla et points rationnels de courbes modulaires	2008	Marusia Rebolledo	4
+	Integer points on curves of genus 1	1992	Wolfgang M. Schmidt	4
+ PDF	On divisors of Lucas and Lehmer numbers	2013	C. L. Stewart	3