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Bilu, Yuri F.

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Author ID: bilu.yuri-f Recent zbMATH articles by "Bilu, Yuri F."
Published as: Belotserkovskii, Yu. F.; Belotserkovskij, Yu. F.; Belotserkovskiĭ, Yu. F.; Bilu, Y. F.; Bilu, Yu.; Bilu, Yu. F.; Bilu, Yuri; Bilu, Yuri F.
Homepage: https://www.math.u-bordeaux.fr/~ybilu/
External Links: MGP · Math-Net.Ru
Documents Indexed: 64 Publications since 1988, including 1 Book

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 574 times in 444 Documents Cited by Year
Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010
Bilu, Yu.; Hanrot, G.; Voutier, P. M.
126
2001
The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049
Bilu, Yuri F.; Tichy, Robert F.
43
2000
Limit distribution of small points on algebraic tori. Zbl 0918.11035
Bilu, Yuri
36
1997
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
35
1996
Structure of sets with small sumset. Zbl 0946.11004
Bilu, Yuri
33
1999
Diophantine equations and Bernoulli polynomials (with an appendix by A. Schinzel). Zbl 1028.11016
Bilu, Yu. F.; Brindza, B.; Kirschenhofer, P.; Pintér, Á.; Tichy, R. F.
25
2002
Serre’s uniformity problem in the split Cartan case. Zbl 1278.11065
Bilu, Yuri; Parent, Pierre
22
2011
An effective “Theorem of André” for \(CM\)-points on a plane curve. Zbl 1263.14028
Bilu, Yuri; Masser, David; Zannier, Umberto
18
2013
Polynomials with roots modulo every integer. Zbl 1055.11523
Berend, Daniel; Bilu, Yuri
17
1996
Rectification principles in additive number theory. Zbl 0899.11002
Bilu, Y. F.; Lev, V. F.; Ruzsa, I. Z.
16
1998
Rational points on \(X_0^+(p^r)\). Zbl 1307.11075
Bilu, Yuri; Parent, Pierre; Rebolledo, Marusia
15
2013
Quadratic factors of \(f(x)-g(y)\). Zbl 0935.12003
Bilu, Yuri F.
10
1999
Quantitative Siegel’s theorem for Galois coverings. Zbl 1044.11593
Bilu, Yuri F.
10
1997
Effective analysis of integral points on algebraic curves. Zbl 0840.11028
Bilu, Yuri
10
1995
Runge’s method and modular curves. Zbl 1304.11054
Bilu, Yuri; Parent, Pierre
9
2011
Divisibility of class numbers: enumerative approach. Zbl 1072.11084
Bilu, Yuri F.; Luca, Florian
9
2005
Sum-free sets and related sets. Zbl 0968.11017
Bilu, Yuri
9
1998
Solving superelliptic diophantine equations by Baker’s method. Zbl 0915.11065
Bilu, Yuri F.; Hanrot, Guillaume
9
1998
Addition of sets of integers of positive density. Zbl 0877.11006
Bilu, Yuri
9
1997
On the exponential local-global principle. Zbl 1330.11019
Bartolome, Boris; Bilu, Yuri; Luca, Florian
8
2013
Rational products of singular moduli. Zbl 1400.11113
Bilu, Yuri; Luca, Florian; Pizarro-Madariaga, Amalia
7
2016
The Diophantine equation \(x(x+1)\ldots(x+(m-1)) + r= y^n\). Zbl 1053.11029
Bilu, Yu. F.; Kulkarni, M.; Sury, B.
7
2004
Chevalley-Weil theorem and subgroups of class groups. Zbl 1411.11108
Bilu, Yuri; Gillibert, Jean
6
2018
CM-points on straight lines. Zbl 1395.11098
Allombert, Bill; Bilu, Yuri; Pizarro-Madariaga, Amalia
6
2015
On Le’s and Bugeaud’s papers about the equation \(ax^2 + b^{2m-1} = 4c^p\). Zbl 1012.11023
Bilu, Yuri
6
2002
Thue equations with composite fields. Zbl 0934.11013
Bilu, Yuri; Hanrot, Guillaume
5
1999
Quantitative Chevalley-Weil theorem for curves. Zbl 1288.11064
Bilu, Yuri; Strambi, Marco; Surroca, Andrea
4
2013
Effective Siegel’s theorem for modular curves. Zbl 1225.11088
Bilu, Yuri; Illengo, Marco
4
2011
Quantitative Riemann existence theorem over a number field. Zbl 1222.11082
Bilu, Yuri F.; Strambi, Marco
4
2010
Characterizing algebraic curves with infinitely many integral points. Zbl 1196.11088
Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios
4
2009
The many faces of the subspace theorem [after Adamczewski, Bugeaud, Corvaja, Zannier \(\ldots\)]. Zbl 1220.11091
Bilu, Yuri F.
4
2008
Integral \(j\)-invariants and Cartan structures for elliptic curves. Zbl 1165.11053
Bilu, Yu.; Parent, Pierre
4
2008
Index form equations in sextic fields: a hard computation. Zbl 1064.11084
Bilu, Yuri; Gaál, István; Győry, Kálmán
4
2004
Octahedrons with equally many lattice points. Zbl 0973.11040
Bilu, Yuri F.; Stoll, Thomas; Tichy, Robert F.
4
2000
Remarks on Eisenstein. Zbl 1326.11064
Bilu, Yuri; Borichev, Alexander
3
2013
Baker’s method and modular curves. Zbl 1041.11045
Bilu, Yuri F.
3
2002
Effective analysis of a new class of diophantine equations. Zbl 0669.10037
Belotserkovskij, Yu. F.
3
1988
Effective analysis of a class of diophantine equations. Zbl 0649.10014
Belotserkovskii, Yu. F.
3
1988
Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms. Zbl 1444.11071
Bilu, Yuri F.; Deshouillers, Jean-Marc; Gun, Sanoli; Luca, Florian
2
2018
Diversity in parametric families of number fields. Zbl 1414.11150
Bilu, Yuri; Luca, Florian
2
2017
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
2
2014
Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Zbl 1289.11035
Bilu, Yuri F.; Fuchs, Clemens; Luca, Florian; Pintér, Ákos
2
2013
A quick proof of Sprindzhuk’s decomposition theorem. Zbl 1147.11018
Bilu, Y. F.; Masser, D.
2
2006
Catalan’s conjecture. Zbl 1094.11014
Bilu, Yuri F.
2
2004
The \((\alpha +2\beta)\)-inequality on a torus. Zbl 0922.11016
Bilu, Yuri
2
1998
A note on universal Hilbert sets. Zbl 0855.12005
Bilu, Yuri
2
1996
Linear equations in singular moduli. Zbl 1457.11085
Bilu, Yuri; Kühne, Lars
1
2020
Trinomials with given roots. Zbl 07152833
Bilu, Yuri; Luca, Florian
1
2020
Counting number fields in fibers (with an appendix by Jean Gillibert). Zbl 1411.11101
Bilu, Yuri
1
2018
Number fields in fibers: the geometrically abelian case with rational critical values. Zbl 1413.12001
Bilu, Yuri; Luca, Florian
1
2017
Collinear CM-points. Zbl 1432.11061
Bilu, Yuri; Luca, Florian; Masser, David
1
2017
On a divisibility relation for Lucas sequences. Zbl 1402.11023
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon
1
2016
Proof of the Baker-Feldman theorem via linear forms in two logarithms. Zbl 1010.11036
Bilu, Yuri; Bugeaud, Yann
1
2000
Uniform distribution of algebraic numbers close to the unit circle. Zbl 0646.10040
Belotserkovskiĭ, Yu. F.
1
1988
Linear equations in singular moduli. Zbl 1457.11085
Bilu, Yuri; Kühne, Lars
1
2020
Trinomials with given roots. Zbl 07152833
Bilu, Yuri; Luca, Florian
1
2020
Chevalley-Weil theorem and subgroups of class groups. Zbl 1411.11108
Bilu, Yuri; Gillibert, Jean
6
2018
Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms. Zbl 1444.11071
Bilu, Yuri F.; Deshouillers, Jean-Marc; Gun, Sanoli; Luca, Florian
2
2018
Counting number fields in fibers (with an appendix by Jean Gillibert). Zbl 1411.11101
Bilu, Yuri
1
2018
Diversity in parametric families of number fields. Zbl 1414.11150
Bilu, Yuri; Luca, Florian
2
2017
Number fields in fibers: the geometrically abelian case with rational critical values. Zbl 1413.12001
Bilu, Yuri; Luca, Florian
1
2017
Collinear CM-points. Zbl 1432.11061
Bilu, Yuri; Luca, Florian; Masser, David
1
2017
Rational products of singular moduli. Zbl 1400.11113
Bilu, Yuri; Luca, Florian; Pizarro-Madariaga, Amalia
7
2016
On a divisibility relation for Lucas sequences. Zbl 1402.11023
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon
1
2016
CM-points on straight lines. Zbl 1395.11098
Allombert, Bill; Bilu, Yuri; Pizarro-Madariaga, Amalia
6
2015
The problem of Catalan. Zbl 1315.11003
Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice
2
2014
An effective “Theorem of André” for \(CM\)-points on a plane curve. Zbl 1263.14028
Bilu, Yuri; Masser, David; Zannier, Umberto
18
2013
Rational points on \(X_0^+(p^r)\). Zbl 1307.11075
Bilu, Yuri; Parent, Pierre; Rebolledo, Marusia
15
2013
On the exponential local-global principle. Zbl 1330.11019
Bartolome, Boris; Bilu, Yuri; Luca, Florian
8
2013
Quantitative Chevalley-Weil theorem for curves. Zbl 1288.11064
Bilu, Yuri; Strambi, Marco; Surroca, Andrea
4
2013
Remarks on Eisenstein. Zbl 1326.11064
Bilu, Yuri; Borichev, Alexander
3
2013
Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Zbl 1289.11035
Bilu, Yuri F.; Fuchs, Clemens; Luca, Florian; Pintér, Ákos
2
2013
Serre’s uniformity problem in the split Cartan case. Zbl 1278.11065
Bilu, Yuri; Parent, Pierre
22
2011
Runge’s method and modular curves. Zbl 1304.11054
Bilu, Yuri; Parent, Pierre
9
2011
Effective Siegel’s theorem for modular curves. Zbl 1225.11088
Bilu, Yuri; Illengo, Marco
4
2011
Quantitative Riemann existence theorem over a number field. Zbl 1222.11082
Bilu, Yuri F.; Strambi, Marco
4
2010
Characterizing algebraic curves with infinitely many integral points. Zbl 1196.11088
Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios
4
2009
The many faces of the subspace theorem [after Adamczewski, Bugeaud, Corvaja, Zannier \(\ldots\)]. Zbl 1220.11091
Bilu, Yuri F.
4
2008
Integral \(j\)-invariants and Cartan structures for elliptic curves. Zbl 1165.11053
Bilu, Yu.; Parent, Pierre
4
2008
A quick proof of Sprindzhuk’s decomposition theorem. Zbl 1147.11018
Bilu, Y. F.; Masser, D.
2
2006
Divisibility of class numbers: enumerative approach. Zbl 1072.11084
Bilu, Yuri F.; Luca, Florian
9
2005
The Diophantine equation \(x(x+1)\ldots(x+(m-1)) + r= y^n\). Zbl 1053.11029
Bilu, Yu. F.; Kulkarni, M.; Sury, B.
7
2004
Index form equations in sextic fields: a hard computation. Zbl 1064.11084
Bilu, Yuri; Gaál, István; Győry, Kálmán
4
2004
Catalan’s conjecture. Zbl 1094.11014
Bilu, Yuri F.
2
2004
Diophantine equations and Bernoulli polynomials (with an appendix by A. Schinzel). Zbl 1028.11016
Bilu, Yu. F.; Brindza, B.; Kirschenhofer, P.; Pintér, Á.; Tichy, R. F.
25
2002
On Le’s and Bugeaud’s papers about the equation \(ax^2 + b^{2m-1} = 4c^p\). Zbl 1012.11023
Bilu, Yuri
6
2002
Baker’s method and modular curves. Zbl 1041.11045
Bilu, Yuri F.
3
2002
Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte). Zbl 0995.11010
Bilu, Yu.; Hanrot, G.; Voutier, P. M.
126
2001
The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049
Bilu, Yuri F.; Tichy, Robert F.
43
2000
Octahedrons with equally many lattice points. Zbl 0973.11040
Bilu, Yuri F.; Stoll, Thomas; Tichy, Robert F.
4
2000
Proof of the Baker-Feldman theorem via linear forms in two logarithms. Zbl 1010.11036
Bilu, Yuri; Bugeaud, Yann
1
2000
Structure of sets with small sumset. Zbl 0946.11004
Bilu, Yuri
33
1999
Quadratic factors of \(f(x)-g(y)\). Zbl 0935.12003
Bilu, Yuri F.
10
1999
Thue equations with composite fields. Zbl 0934.11013
Bilu, Yuri; Hanrot, Guillaume
5
1999
Rectification principles in additive number theory. Zbl 0899.11002
Bilu, Y. F.; Lev, V. F.; Ruzsa, I. Z.
16
1998
Sum-free sets and related sets. Zbl 0968.11017
Bilu, Yuri
9
1998
Solving superelliptic diophantine equations by Baker’s method. Zbl 0915.11065
Bilu, Yuri F.; Hanrot, Guillaume
9
1998
The \((\alpha +2\beta)\)-inequality on a torus. Zbl 0922.11016
Bilu, Yuri
2
1998
Limit distribution of small points on algebraic tori. Zbl 0918.11035
Bilu, Yuri
36
1997
Quantitative Siegel’s theorem for Galois coverings. Zbl 1044.11593
Bilu, Yuri F.
10
1997
Addition of sets of integers of positive density. Zbl 0877.11006
Bilu, Yuri
9
1997
Solving Thue equations of high degree. Zbl 0867.11017
Bilu, Yuri; Hanrot, Guillaume
35
1996
Polynomials with roots modulo every integer. Zbl 1055.11523
Berend, Daniel; Bilu, Yuri
17
1996
A note on universal Hilbert sets. Zbl 0855.12005
Bilu, Yuri
2
1996
Effective analysis of integral points on algebraic curves. Zbl 0840.11028
Bilu, Yuri
10
1995
Effective analysis of a new class of diophantine equations. Zbl 0669.10037
Belotserkovskij, Yu. F.
3
1988
Effective analysis of a class of diophantine equations. Zbl 0649.10014
Belotserkovskii, Yu. F.
3
1988
Uniform distribution of algebraic numbers close to the unit circle. Zbl 0646.10040
Belotserkovskiĭ, Yu. F.
1
1988
all top 5

Cited by 438 Authors

39 Luca, Florian
14 Bilu, Yuri F.
12 Hajdu, Lajos
9 Levin, Aaron
8 Bazsó, András
8 Le, Maohua
8 Pintér, Ákos
7 Marques, Diego
7 Soydan, Gokhan
7 Tao, Terence
7 Togbé, Alain
6 Heuberger, Clemens
6 Ziegler, Volker
5 Gaál, István
5 Green, Ben Joseph
5 Ingram, Patrick
5 Jin, Renling
5 Károlyi, Gyula
5 Mihăilescu, Preda
5 Poulakis, Dimitrios
5 Tucker, Thomas John
5 Yuan, Pingzhi
4 Bérczes, Attila
4 Bugeaud, Yann
4 Fuchs, Clemens
4 Habegger, Philipp
4 Jones, Lenny K.
4 Kreso, Dijana
4 Kulkarni, Manisha V.
4 Pakovich, Fedor
4 Parent, Pierre
4 Pink, István
4 Pritsker, Igor E.
4 Serra, Oriol
4 Sonn, Jack
4 Stănică, Pantelimon
4 Sury, Balasubramanian
4 Tichy, Robert Franz
4 Zhu, Huilin
3 Abu Muriefah, Fadwa S.
3 Balakrishnan, Jennifer S.
3 Binyamini, Gal
3 Chang, Mei-Chu
3 de Weger, Benjamin M. M.
3 Dubickas, Artūras
3 Fu, Ruiqin
3 Ghioca, Dragos
3 Gillibert, Jean
3 González-Jiménez, Enrique
3 Irmak, Nurettin
3 Jadrijević, Borka
3 Javanpeykar, Ariyan
3 Le Fourn, Samuel
3 Lev, Vsevolod F.
3 Longobardi, Patrizia
3 Lozano-Robledo, Álvaro
3 Maj, Mercede
3 Masser, David William
3 Najman, Filip
3 Petsche, Clayton
3 Pila, Jonathan
3 Pizarro-Madariaga, Amalia
3 Rakaczki, Csaba
3 Riffaut, Antonin
3 Ruzsa, Imre Z.
3 Sargsyan, Vahe Gnelovich
3 Sha, Min
3 Shparlinski, Igor E.
3 Silverman, Joseph Hillel
3 Sombra, Martín
3 Stanchescu, Yonutz V.
3 Stoll, Thomas
3 Sun, Chia-Liang
3 Surroca, Andrea
3 Szalay, László
3 Szemerédi, Endre
3 Tengely, Szabolcs
3 Tzanakis, Nikos
3 Vu, Van H.
3 Wang, Tingting
3 Yang, Hai
3 Zannier, Umberto M.
2 Argáez-García, Alejandro
2 Autissier, Pascal
2 Bajolet, Aurélien
2 Baker, Matthew H.
2 Ballot, Christian
2 Bartolome, Boris
2 Bertók, Csanád
2 Bravo, Jhon Jairo
2 Breuillard, Emmanuel
2 Broughan, Kevin A.
2 Bubboloni, Daniela
2 Burgos Gil, José Ignacio
2 Dogra, Netan
2 Elekes, György
2 Faye, Bernadette
2 Filaseta, Michael A.
2 Flatters, Anthony
2 Freiman, Gregory A.
...and 338 more Authors
all top 5

Cited in 117 Serials

67 Journal of Number Theory
22 Journal de Théorie des Nombres de Bordeaux
20 International Journal of Number Theory
16 Monatshefte für Mathematik
12 Periodica Mathematica Hungarica
12 Mathematics of Computation
11 Indagationes Mathematicae. New Series
10 Duke Mathematical Journal
10 Transactions of the American Mathematical Society
8 Israel Journal of Mathematics
8 Advances in Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Journal of Symbolic Computation
6 The Ramanujan Journal
6 Journal of Integer Sequences
6 Integers
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Acta Arithmetica
5 Annales de l’Institut Fourier
5 Functiones et Approximatio. Commentarii Mathematici
5 Journal für die Reine und Angewandte Mathematik
5 Mathematische Annalen
5 Mathematische Zeitschrift
5 Mathematika
5 Proceedings of the American Mathematical Society
5 Annals of Mathematics. Second Series
4 Journal of Algebra
4 Journal of Combinatorial Theory. Series A
4 Proceedings of the Japan Academy. Series A
4 Combinatorica
4 Algebra & Number Theory
3 Bulletin of the Australian Mathematical Society
3 Rocky Mountain Journal of Mathematics
3 Archiv der Mathematik
3 Czechoslovak Mathematical Journal
3 Glasgow Mathematical Journal
3 Inventiones Mathematicae
3 Acta Mathematica Hungarica
3 Bulletin of the American Mathematical Society. New Series
3 Turkish Journal of Mathematics
3 Journal of the European Mathematical Society (JEMS)
2 American Mathematical Monthly
2 Communications in Algebra
2 Indian Journal of Pure & Applied Mathematics
2 Journal d’Analyse Mathématique
2 Colloquium Mathematicum
2 Compositio Mathematica
2 Publications Mathématiques
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of the London Mathematical Society. Second Series
2 Manuscripta Mathematica
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Quaestiones Mathematicae
2 European Journal of Combinatorics
2 Journal of the American Mathematical Society
2 Journal of the Ramanujan Mathematical Society
2 Glasnik Matematički. Serija III
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Acta Mathematica Sinica. English Series
2 Journal of the Australian Mathematical Society
2 Portugaliae Mathematica. Nova Série
2 Oberwolfach Reports
2 Proceedings of the Steklov Institute of Mathematics
2 Science China. Mathematics
2 International Journal of Group Theory
2 Communications in Mathematics
1 Discrete Mathematics
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Demonstratio Mathematica
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Theoretical Computer Science
1 Moscow University Computational Mathematics and Cybernetics
1 Ergodic Theory and Dynamical Systems
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Discrete Mathematics and Applications
1 Geometric and Functional Analysis. GAFA
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Journal of Algebraic Geometry
1 Annales Mathématiques Blaise Pascal
1 Finite Fields and their Applications
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
...and 17 more Serials

Citations by Year