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Zannier, Umberto M.

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Author ID: zannier.umberto-m Recent zbMATH articles by "Zannier, Umberto M."
Published as: Zannier, Umberto; Zannier, U.; Zannier, Umberto M.
Homepage: https://en.sns.it/ugov/persone/umberto-zannier
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Documents Indexed: 203 Publications since 1980, including 13 Books
all top 5

Serials

18 Acta Arithmetica
10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
7 Rendiconti del Seminario Matematico della Università di Padova
5 Proceedings of the American Mathematical Society
5 Journal de Théorie des Nombres de Bordeaux
5 Colloquia
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Bulletin of the London Mathematical Society
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 IMRN. International Mathematics Research Notices
4 Bollettino della Unione Matemàtica Italiana. Serie VII. A
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Israel Journal of Mathematics
3 Advances in Mathematics
3 American Journal of Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Archiv der Mathematik
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Monatshefte für Mathematik
3 Transactions of the American Mathematical Society
3 L’Enseignement Mathématique. 2e Série
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Journal of Algebra
2 Journal of Number Theory
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Ricerche di Matematica
2 Bollettino della Unione Matemàtica Italiana. Serie VII. B
2 The New York Journal of Mathematics
2 Rivista di Matematica della Università di Parma. Serie 7
2 Journal of the Institute of Mathematics of Jussieu
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Bollettino della Unione Matematica Italiana. Series V. A
2 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie)
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Differential Geometry
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Studia Scientiarum Mathematicarum Hungarica
1 Tohoku Mathematical Journal. Second Series
1 Rendiconti del Seminario Matematico
1 Acta Mathematica Hungarica
1 Journal of the American Mathematical Society
1 Aequationes Mathematicae
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Elemente der Mathematik
1 Journal of the Australian Mathematical Society. Series A
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VI. A
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Geometry
1 Finite Fields and their Applications
1 Mathematical Research Letters
1 Izvestiya: Mathematics
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 The Quarterly Journal of Mathematics
1 Journal of the Australian Mathematical Society
1 Oberwolfach Reports
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 Annals of Mathematics Studies
1 Cambridge Tracts in Mathematics
1 Lecture Notes in Mathematics
1 Münster Journal of Mathematics
1 Quaderni. Scuola Normale Superiore di Pisa. Monographs
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 1,223 times in 586 Documents Cited by Year
Some problems of unlikely intersections in arithmetic and geometry. With appendixes by David Masser. Zbl 1246.14003
Zannier, Umberto
51
2012
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
41
2008
Intersecting a curve with algebraic subgroups of multiplicative groups. Zbl 0938.11031
Bombieri, E.; Masser, D.; Zannier, U.
41
1999
An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\). Zbl 1021.11001
Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto
38
2003
A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077
Bombieri, Enrico; Zannier, Umberto
32
2001
On a general Thue’s equation. Zbl 1125.11022
Corvaja, Pietro; Zannier, Umberto
30
2004
A lower bound for the height of a rational function at \(S\)-unit points. Zbl 1086.11035
Corvaja, Pietro; Zannier, Umberto
30
2005
Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049
Bombieri, E.; Masser, D.; Zannier, U.
29
2007
Torsion anomalous points and families of elliptic curves. Zbl 1225.11078
Masser, D.; Zannier, U.
29
2010
Some new applications of the subspace theorem. Zbl 1010.11038
Corvaja, Pietro; Zannier, Umberto
26
2002
Diophantine equations with power sums and universal Hilbert sets. Zbl 0923.11103
Corvaja, P.; Zannier, U.
24
1998
A relative Dobrowolski lower bound over abelian extensions. Zbl 1016.11026
Amoroso, Francesco; Zannier, Umberto
24
2000
Finiteness of integral values for the ratio of two linear recurrences. Zbl 1026.11021
Corvaja, Pietro; Zannier, Umberto
22
2002
Algebraic points on subvarieties of \(\mathbb{G}_ m^ n\). Zbl 0848.11030
Bombieri, E.; Zannier, U.
21
1995
On integral points on surfaces. Zbl 1146.11035
Corvaja, P.; Zannier, U.
21
2004
An effective “Theorem of André” for \(CM\)-points on a plane curve. Zbl 1263.14028
Bilu, Yuri; Masser, David; Zannier, Umberto
21
2013
The class semigroup of orders in number fields. Zbl 0828.11068
Zanardo, P.; Zannier, U.
20
1994
Torsion points on families of squares of elliptic curves. Zbl 1306.11047
Masser, D.; Zannier, U.
19
2012
On the greatest prime factor of \((ab+1)(ac+1)\). Zbl 1077.11052
Corvaja, P.; Zannier, U.
18
2003
On unlikely intersections of complex varieties with tori. Zbl 1162.11031
Bombieri, E.; Masser, D.; Zannier, U.
17
2008
Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016
Dvornicich, Roberto; Zannier, Umberto
17
2001
Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040
Dvornicich, R.; Zannier, U.
16
2007
The equation \(f(X) = f(Y)\) in rational functions \(X = X(t)\), \(Y = Y(t)\). Zbl 1050.14020
Avanzi, Roberto M.; Zannier, Umberto M.
16
2003
Some cases of Vojta’s conjecture on integral points over function fields. Zbl 1221.11146
Corvaja, Pietro; Zannier, Umberto
16
2008
Fields containing values of algebraic functions. Zbl 0819.12003
Dvornicich, R.; Zannier, U.
16
1994
Genus one curves defined by separated variable polynomials and a polynomial Pell equation. Zbl 1025.11005
Avanzi, Roberto M.; Zannier, Umberto M.
15
2001
Composite rational functions expressible with few terms. Zbl 1244.12001
Fuchs, Clemens; Zannier, Umberto
15
2012
On the number of terms of a composite polynomial. Zbl 1161.11003
Zannier, Umberto
14
2007
Some remarks on the \(S\)-unit equation in function fields. Zbl 0786.11019
Zannier, Umberto
13
1993
Heights of algebraic points on subvarieties of abelian varieties. Zbl 0897.11020
Bombieri, E.; Zannier, U.
13
1996
On Davenport’s bound for the degree of \(f^ 3 - g^ 2\) and Riemann’s existence theorem. Zbl 0840.11015
Zannier, Umberto
13
1995
Torsion points on families of simple abelian surfaces and Pell’s equation over polynomial rings (with an appendix by E. V. Flynn). Zbl 1328.11068
Masser, D.; Zannier, U.
13
2015
Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U.
13
2016
An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007
Dvornicich, Roberto; Zannier, Umberto
12
2004
On the diophantine equation \(f(a^m,y)=b^n\). Zbl 0963.11020
Corvaja, Pietro; Zannier, Umberto
12
2000
Ritt’s second theorem in arbitrary characteristic. Zbl 0786.12001
Zannier, Umberto
12
1993
On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France. Zbl 1175.11036
Corvaja, Pietro; Zannier, Umberto
12
2004
On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011
Dvornicich, Roberto; Zannier, Umberto
11
2007
Lecture notes on Diophantine analysis. With an appendix by Francesco Amoroso. Zbl 1186.11001
Zannier, Umberto
11
2009
A uniform relative Dobrowolski’s lower bound over Abelian extensions. Zbl 1205.11079
Amoroso, Francesco; Zannier, Umberto
11
2010
Torsion points on families of products of elliptic curves. Zbl 1318.11075
Masser, D.; Zannier, U.
11
2014
Torsion anomalous points and families of elliptic curves. Zbl 1197.11066
Masser, David; Zannier, Umberto
10
2008
A subspace theorem approach to integral points on curves. Zbl 1012.11051
Corvaja, Pietro; Zannier, Umberto
10
2002
On fields with property (B). Zbl 1294.11112
Amoroso, Francesco; David, Sinnou; Zannier, Umberto
10
2014
Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields. Zbl 1325.11060
Corvaja, Pietro; Zannier, Umberto
10
2013
On composite lacunary polynomials and the proof of a conjecture of Schinzel. Zbl 1177.12004
Zannier, Umberto
9
2008
Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022
Bombieri, Enrico; Masser, David; Zannier, Umberto
8
2008
Diophantine equations with linear recurrences. An overview of some recent progress. Zbl 1162.11330
Zannier, Umberto
8
2005
Hilbert irreducibility above algebraic groups. Zbl 1208.11080
Zannier, Umberto
8
2010
Finiteness of odd perfect powers with four nonzero binary digits. (Finitude des puissances pures impaires avec quatre chiffres non nuls.) Zbl 1294.11117
Corvaja, Pietro; Zannier, Umberto
8
2013
On the number of integral points on algebraic curves. Zbl 1153.11315
Corvaja, Pietro; Zannier, Umberto
7
2003
Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056
Bombieri, E.; Masser, D. W.; Zannier, U.
7
2003
Integral points on threefolds and other varieties. Zbl 1250.11066
Corvaja, Pietro; Levin, Aaron; Zannier, Umberto
7
2009
On sums of roots of unity. Zbl 0953.11009
Dvornicich, Roberto; Zannier, Umberto
7
2000
\(S\)-unit points on analytic hypersurfaces. Zbl 1118.11033
Corvaja, Pietro; Zannier, Umberto
7
2005
A note on squares in arithmetic progressions. II. Zbl 1072.11010
Zannier, Umberto; Bombieri, Enrico
7
2002
Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\)). Zbl 1294.14013
Corvaja, Pietro; Zannier, Umberto
7
2013
Applications of Diophantine approximation to integral points and transcendence. Zbl 1452.11004
Corvaja, Pietro; Zannier, Umberto
7
2018
On the reduction modulo \(p\) of an absolutely irreducible polynomial \(f(x,y)\). Zbl 0977.11011
Zannier, Umberto
6
1997
On the integer solutions of exponential equations in function fields. Zbl 1080.11028
Zannier, Umberto
6
2004
Intersecting curves and algebraic subgroups: conjectures and more results. Zbl 1161.11025
Bombieri, E.; Masser, D.; Zannier, U.
6
2006
On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002
Dvornicich, Roberto; Zannier, Umberto
6
2008
Integral points, divisibility between values of polynomials and entire curves on surfaces. Zbl 1219.14028
Corvaja, Pietro; Zannier, Umberto
6
2010
A note on Maurin’s theorem. Zbl 1209.11057
Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto
6
2010
On fields of algebraic numbers with bounded local degrees. (Corps de nombres algébriques à degrés locaux bornés.) Zbl 1225.11145
Checcoli, Sara; Zannier, Umberto
6
2011
Unlikely intersections and Pell’s equations in polynomials. Zbl 1367.11037
Zannier, Umberto
6
2014
A proof of Pisot’s \(d\)th root conjecture. Zbl 0995.11007
Zannier, Umberto
5
2000
Fields containing values of algebraic functions. II: On a conjecture of Schinzel. Zbl 0832.12001
Dvornicich, R.; Zannier, U.
5
1995
On recurrent mod \(p\) sequences. Zbl 0517.10006
Perelli, A.; Zannier, U.
5
1984
The Betti map associated to a section of an abelian scheme. Zbl 1460.11083
André, Y.; Corvaja, P.; Zannier, U.
5
2020
On fewnomials, integral points, and a toric version of Bertini’s theorem. Zbl 1439.11091
Fuchs, Clemens; Mantova, Vincenzo; Zannier, Umberto
5
2018
Bicyclotomic polynomials and impossible intersections. Zbl 1318.11076
Masser, David; Zannier, Umberto
5
2013
Parametrizing \(\text{SL}_2({\mathbb Z})\) and a question of Skolem. Zbl 1049.11029
Zannier, Umberto
4
2003
Equations in the Hadamard ring of rational functions. Zbl 1150.11008
Ferretti, Andrea; Zannier, Umberto
4
2007
Linear equations with unknowns from a multiplicative group in a function field. Zbl 1185.11022
Evertse, Jan-Hendrik; Zannier, Umberto
4
2008
On the integral points on certain surfaces. Zbl 1145.14023
Corvaja, Pietro; Zannier, Umberto
4
2006
On periodic \(\text{mod }p\) sequences and \(G\)-functions. (On a conjecture of Ruzsa). Zbl 0864.11005
Zannier, Umberto
4
1996
On certain permutation groups and sums of two squares. Zbl 1306.11006
Corvaja, Pietro; Petronio, Carlo; Zannier, Umberto
4
2012
Torsion hypersurfaces on abelian schemes and Betti coordinates. Zbl 1412.14029
Corvaja, Pietro; Masser, David; Zannier, Umberto
4
2018
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
4
2014
Sharpening ‘Manin-Mumford’ for certain algebraic groups of dimension 2. Zbl 1320.11051
Corvaja, Pietro; Masser, David; Zannier, Umberto
4
2013
On the Hilbert property and the fundamental group of algebraic varieties. Zbl 1391.14044
Corvaja, Pietro; Zannier, Umberto
4
2017
The group of Pythagorean triples in number fields. Zbl 0762.11009
Zanardo, P.; Zannier, U.
3
1991
A note on incomplete quadratic Gauss sums. Zbl 0785.11044
Sullivan, Francis J.; Zannier, Umberto
3
1992
On the number of times a root of \(f(n,x)=0\) generates a field containing a given number field. Zbl 0928.11043
Zannier, Umberto
3
1998
On the maximal order of a torsion point on a curve in \(\mathbb{G}^n_m\). Zbl 1150.11023
Corvaja, Pietro; Zannier, Umberto
3
2008
Parametrizing over \(\mathbb Z\) integral values of polynomials over \(\mathbb Q\). Zbl 1219.11048
Peruginelli, G.; Zannier, U.
3
2010
The least admissible value of the parameter in Hilbert’s irreducibility theorem. Zbl 0828.12003
Schinzel, Andrzej; Zannier, Umberto
3
1995
A note on recurrent mod \(p\) sequences. Zbl 0487.10009
Zannier, U.
3
1982
Solution of a problem about symmetric functions. Zbl 1062.12005
Dvornicich, Roberto; Zannier, Umberto
3
2003
On the Hilbert irreducibility theorem. Zbl 1209.11058
Zannier, U.
3
2009
On the length of the continued fraction for values of quotients of power sums. Zbl 1159.11021
Corvaja, Pietro; Zannier, Umberto
3
2005
Addendum to the paper: “On the number of terms of a composite polynomial”. Zbl 1217.12002
Zannier, Umberto
3
2009
Arithmetic properties of certain recurrence sequences. Zbl 0543.10008
Perelli, A.; Zannier, U.
3
1984
An extremal property of the Möbius function. Zbl 0683.10036
Perelli, A.; Zannier, U.
3
1989
An effective criterion for periodicity of \(\ell\)-adic continued fractions. Zbl 1423.11121
Capuano, Laura; Veneziano, Francesco; Zannier, Umberto
3
2019
Universal Hilbert subsets. Zbl 0910.12002
Dèbes, Pierre; Zannier, Umberto
3
1998
On a theorem of J. E. Olson and an application. (Vanishing sums in finite abelian \(p\)-groups). Zbl 0908.11010
Troi, G.; Zannier, Umberto
3
1997
Bounded height in pencils of finitely generated subgroups. Zbl 1431.11084
Amoroso, F.; Masser, D.; Zannier, U.
3
2017
On a theorem of Birch concerning sums of distinct integers taken from certain sequences. Zbl 0741.11040
Zannier, U.
2
1989
The Betti map associated to a section of an abelian scheme. Zbl 1460.11083
André, Y.; Corvaja, P.; Zannier, U.
5
2020
D-finiteness, rationality, and height. Zbl 07215119
Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto
2
2020
Abelian varieties isogenous to no Jacobian. Zbl 1441.14101
Masser, David; Zannier, Umberto
1
2020
Torsion points, Pell’s equation, and integration in elementary terms. Zbl 1470.11163
Masser, David; Zannier, Umberto
1
2020
An effective criterion for periodicity of \(\ell\)-adic continued fractions. Zbl 1423.11121
Capuano, Laura; Veneziano, Francesco; Zannier, Umberto
3
2019
On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem. Zbl 1442.11142
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto
2
2019
Hyperelliptic continued fractions and generalized Jacobians. Zbl 1422.11156
Zannier, Umberto
1
2019
A variant of the Mordell-Lang conjecture. Zbl 1440.11099
Ghioca, Dragos; Hu, Fei; Scanlon, Thomas; Zannier, Umberto
1
2019
Applications of Diophantine approximation to integral points and transcendence. Zbl 1452.11004
Corvaja, Pietro; Zannier, Umberto
7
2018
On fewnomials, integral points, and a toric version of Bertini’s theorem. Zbl 1439.11091
Fuchs, Clemens; Mantova, Vincenzo; Zannier, Umberto
5
2018
Torsion hypersurfaces on abelian schemes and Betti coordinates. Zbl 1412.14029
Corvaja, Pietro; Masser, David; Zannier, Umberto
4
2018
Products of elementary matrices and non-Euclidean principal ideal domains. Zbl 1383.15011
Cossu, L.; Zanardo, P.; Zannier, U.
2
2018
Basics on the theory of heights and its applications to certain Diophantine problems. Zbl 1406.11062
Zannier, Umberto
1
2018
On abelian multiplicatively dependent points on a curve in a torus. Zbl 1440.11101
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto
1
2018
On the Hilbert property and the fundamental group of algebraic varieties. Zbl 1391.14044
Corvaja, Pietro; Zannier, Umberto
4
2017
Bounded height in pencils of finitely generated subgroups. Zbl 1431.11084
Amoroso, F.; Masser, D.; Zannier, U.
3
2017
Unlikely intersections and multiple roots of sparse polynomials. Zbl 1440.11028
Amoroso, Francesco; Sombra, Martín; Zannier, Umberto
1
2017
Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U.
13
2016
Rational points on Grassmannians and unlikely intersections in tori. Zbl 1364.11122
Capuano, L.; Masser, D.; Pila, J.; Zannier, U.
2
2016
Torsion points on families of simple abelian surfaces and Pell’s equation over polynomial rings (with an appendix by E. V. Flynn). Zbl 1328.11068
Masser, D.; Zannier, U.
13
2015
Integral points in two-parameter orbits. Zbl 1329.14049
Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto
2
2015
Torsion points on families of products of elliptic curves. Zbl 1318.11075
Masser, D.; Zannier, U.
11
2014
On fields with property (B). Zbl 1294.11112
Amoroso, Francesco; David, Sinnou; Zannier, Umberto
10
2014
Unlikely intersections and Pell’s equations in polynomials. Zbl 1367.11037
Zannier, Umberto
6
2014
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
4
2014
On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). With a commentary and the article “Integral points on curves: Siegel’s theorem after Siegel’s proof” by Clemens Fuchs and Umberto Zannier. Zbl 1311.11006
Zannier, Umberto
1
2014
An effective “Theorem of André” for \(CM\)-points on a plane curve. Zbl 1263.14028
Bilu, Yuri; Masser, David; Zannier, Umberto
21
2013
Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields. Zbl 1325.11060
Corvaja, Pietro; Zannier, Umberto
10
2013
Finiteness of odd perfect powers with four nonzero binary digits. (Finitude des puissances pures impaires avec quatre chiffres non nuls.) Zbl 1294.11117
Corvaja, Pietro; Zannier, Umberto
8
2013
Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\)). Zbl 1294.14013
Corvaja, Pietro; Zannier, Umberto
7
2013
Bicyclotomic polynomials and impossible intersections. Zbl 1318.11076
Masser, David; Zannier, Umberto
5
2013
Sharpening ‘Manin-Mumford’ for certain algebraic groups of dimension 2. Zbl 1320.11051
Corvaja, Pietro; Masser, David; Zannier, Umberto
4
2013
Some problems of unlikely intersections in arithmetic and geometry. With appendixes by David Masser. Zbl 1246.14003
Zannier, Umberto
51
2012
Torsion points on families of squares of elliptic curves. Zbl 1306.11047
Masser, D.; Zannier, U.
19
2012
Composite rational functions expressible with few terms. Zbl 1244.12001
Fuchs, Clemens; Zannier, Umberto
15
2012
On certain permutation groups and sums of two squares. Zbl 1306.11006
Corvaja, Pietro; Petronio, Carlo; Zannier, Umberto
4
2012
On fields of algebraic numbers with bounded local degrees. (Corps de nombres algébriques à degrés locaux bornés.) Zbl 1225.11145
Checcoli, Sara; Zannier, Umberto
6
2011
On the rank of certain matrices. Zbl 1275.11060
Corvaja, Pietro; Zannier, Umberto
2
2011
An \(abcd\) theorem over function fields and applications. Zbl 1252.11031
Corvaja, Pietro; Zannier, Umberto
2
2011
Torsion anomalous points and families of elliptic curves. Zbl 1225.11078
Masser, D.; Zannier, U.
29
2010
A uniform relative Dobrowolski’s lower bound over Abelian extensions. Zbl 1205.11079
Amoroso, Francesco; Zannier, Umberto
11
2010
Hilbert irreducibility above algebraic groups. Zbl 1208.11080
Zannier, Umberto
8
2010
Integral points, divisibility between values of polynomials and entire curves on surfaces. Zbl 1219.14028
Corvaja, Pietro; Zannier, Umberto
6
2010
A note on Maurin’s theorem. Zbl 1209.11057
Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto
6
2010
Parametrizing over \(\mathbb Z\) integral values of polynomials over \(\mathbb Q\). Zbl 1219.11048
Peruginelli, G.; Zannier, U.
3
2010
The Diophantine equation \(\alpha _{1}^{x_{1}} \cdots \alpha _{n}^{x_{n}} = f(x_{1},\dots ,x_{n})\). II. Zbl 1194.11042
Corvaja, P.; Schmidt, W. M.; Zannier, U.
1
2010
Lecture notes on Diophantine analysis. With an appendix by Francesco Amoroso. Zbl 1186.11001
Zannier, Umberto
11
2009
Integral points on threefolds and other varieties. Zbl 1250.11066
Corvaja, Pietro; Levin, Aaron; Zannier, Umberto
7
2009
On the Hilbert irreducibility theorem. Zbl 1209.11058
Zannier, U.
3
2009
Addendum to the paper: “On the number of terms of a composite polynomial”. Zbl 1217.12002
Zannier, Umberto
3
2009
On the number of terms of a power of a polynomial. Zbl 1221.11068
Schinzel, Andrzej; Zannier, Umberto
2
2009
Roth’s theorem, integral points and certain ramified covers of \(\mathbb P_1\). Zbl 1231.11069
Zannier, Umberto
2
2009
Newton functions generating symmetric fields and irreducibility of Schur polynomials. Zbl 1229.05268
Dvornicich, R.; Zannier, U.
2
2009
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
41
2008
On unlikely intersections of complex varieties with tori. Zbl 1162.11031
Bombieri, E.; Masser, D.; Zannier, U.
17
2008
Some cases of Vojta’s conjecture on integral points over function fields. Zbl 1221.11146
Corvaja, Pietro; Zannier, Umberto
16
2008
Torsion anomalous points and families of elliptic curves. Zbl 1197.11066
Masser, David; Zannier, Umberto
10
2008
On composite lacunary polynomials and the proof of a conjecture of Schinzel. Zbl 1177.12004
Zannier, Umberto
9
2008
Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022
Bombieri, Enrico; Masser, David; Zannier, Umberto
8
2008
On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002
Dvornicich, Roberto; Zannier, Umberto
6
2008
Linear equations with unknowns from a multiplicative group in a function field. Zbl 1185.11022
Evertse, Jan-Hendrik; Zannier, Umberto
4
2008
On the maximal order of a torsion point on a curve in \(\mathbb{G}^n_m\). Zbl 1150.11023
Corvaja, Pietro; Zannier, Umberto
3
2008
Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. Zbl 1245.11086
Corvaja, Pietro; Zannier, Umberto
2
2008
Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049
Bombieri, E.; Masser, D.; Zannier, U.
29
2007
Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040
Dvornicich, R.; Zannier, U.
16
2007
On the number of terms of a composite polynomial. Zbl 1161.11003
Zannier, Umberto
14
2007
On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011
Dvornicich, Roberto; Zannier, Umberto
11
2007
Equations in the Hadamard ring of rational functions. Zbl 1150.11008
Ferretti, Andrea; Zannier, Umberto
4
2007
Proof of the existence of certain triples of polynomials. Zbl 1139.12005
Zannier, Umberto
1
2007
Intersecting curves and algebraic subgroups: conjectures and more results. Zbl 1161.11025
Bombieri, E.; Masser, D.; Zannier, U.
6
2006
On the integral points on certain surfaces. Zbl 1145.14023
Corvaja, Pietro; Zannier, Umberto
4
2006
On the greatest prime factor of Markov pairs. Zbl 1215.11028
Zannier, Umberto; Corvaja, Pietro
1
2006
A lower bound for the height of a rational function at \(S\)-unit points. Zbl 1086.11035
Corvaja, Pietro; Zannier, Umberto
30
2005
Diophantine equations with linear recurrences. An overview of some recent progress. Zbl 1162.11330
Zannier, Umberto
8
2005
\(S\)-unit points on analytic hypersurfaces. Zbl 1118.11033
Corvaja, Pietro; Zannier, Umberto
7
2005
On the length of the continued fraction for values of quotients of power sums. Zbl 1159.11021
Corvaja, Pietro; Zannier, Umberto
3
2005
On the integral points on the complement of ramification-divisors. Zbl 1089.11021
Zannier, Umberto
2
2005
On a general Thue’s equation. Zbl 1125.11022
Corvaja, Pietro; Zannier, Umberto
30
2004
On integral points on surfaces. Zbl 1146.11035
Corvaja, P.; Zannier, U.
21
2004
An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007
Dvornicich, Roberto; Zannier, Umberto
12
2004
On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France. Zbl 1175.11036
Corvaja, Pietro; Zannier, Umberto
12
2004
On the integer solutions of exponential equations in function fields. Zbl 1080.11028
Zannier, Umberto
6
2004
Polynomial squares of the form \(aX^m+b(1-X)^n+c\). Zbl 1167.11304
Zannier, Umberto
2
2004
A lower bound for periods of matrices. Zbl 1124.11306
Corvaja, Pietro; Rudnick, Zéev; Zannier, Umberto
2
2004
An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\). Zbl 1021.11001
Bugeaud, Yann; Corvaja, Pietro; Zannier, Umberto
38
2003
On the greatest prime factor of \((ab+1)(ac+1)\). Zbl 1077.11052
Corvaja, P.; Zannier, U.
18
2003
The equation \(f(X) = f(Y)\) in rational functions \(X = X(t)\), \(Y = Y(t)\). Zbl 1050.14020
Avanzi, Roberto M.; Zannier, Umberto M.
16
2003
On the number of integral points on algebraic curves. Zbl 1153.11315
Corvaja, Pietro; Zannier, Umberto
7
2003
Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056
Bombieri, E.; Masser, D. W.; Zannier, U.
7
2003
Parametrizing \(\text{SL}_2({\mathbb Z})\) and a question of Skolem. Zbl 1049.11029
Zannier, Umberto
4
2003
Solution of a problem about symmetric functions. Zbl 1062.12005
Dvornicich, Roberto; Zannier, Umberto
3
2003
On polynomials taking small values at integral arguments. II. Zbl 1020.11018
Dvornicich, Roberto; Tung, Shih Ping; Zannier, Umberto
2
2003
Some new applications of the subspace theorem. Zbl 1010.11038
Corvaja, Pietro; Zannier, Umberto
26
2002
Finiteness of integral values for the ratio of two linear recurrences. Zbl 1026.11021
Corvaja, Pietro; Zannier, Umberto
22
2002
A subspace theorem approach to integral points on curves. Zbl 1012.11051
Corvaja, Pietro; Zannier, Umberto
10
2002
A note on squares in arithmetic progressions. II. Zbl 1072.11010
Zannier, Umberto; Bombieri, Enrico
7
2002
Fewnomials and intersections of lines with real analytic subgroups in \({\mathbb G}^n_m\). Zbl 1032.11011
Cohen, Paula B.; Zannier, Umberto
2
2002
Sums of roots of unity vanishing modulo a prime. Zbl 1007.11062
Dvornicich, Roberto; Zannier, Umberto
1
2002
A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077
Bombieri, Enrico; Zannier, Umberto
32
2001
Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016
Dvornicich, Roberto; Zannier, Umberto
17
2001
...and 51 more Documents
all top 5

Cited by 476 Authors

60 Zannier, Umberto M.
23 Luca, Florian
22 Corvaja, Pietro
19 Shparlinski, Igor E.
18 Masser, David William
13 Fuchs, Clemens
12 Bugeaud, Yann
12 Habegger, Philipp
12 Levin, Aaron
11 Ghioca, Dragos
10 Viada, Evelina
10 Wang, Julie Tzu-Yueh
9 Bilu, Yuri F.
9 Checcoli, Sara
9 Pila, Jonathan
8 Amoroso, Francesco
8 Pakovich, Fedor
8 Ru, Min
7 Gao, Ziyang
7 Nguyen, Khoa Dang
7 Ostafe, Alina
7 Paladino, Laura
7 Pottmeyer, Lukas
6 Bombieri, Enrico
6 Dvornicich, Roberto
6 Ranieri, Gabriele
6 Si Duc Quang
5 Bertrand, Daniel
5 Dubickas, Artūras
5 Fili, Paul A.
5 Gabelli, Stefania
5 Rémond, Gaël
5 Sanna, Carlo
5 Schmidt, Harry
5 Silverman, Joseph Hillel
5 Tạ Thị Hoài An
5 Tucker, Thomas John
5 Yafaev, Andrei
5 Yan, Qiming
5 Zanardo, Paolo
4 Bell, Jason P.
4 Binyamini, Gal
4 David, Sinnou
4 Guo, Ji
4 Hajdu, Lajos
4 Hsia, Liang-Chung
4 Kabbaj, Salah-Eddine
4 Kaneko, Hajime
4 Kirby, Jonathan
4 Miles, Richard B.
4 Mimouni, Abdeslam
4 Murru, Nadir
4 Petronio, Carlo
4 Ullmo, Emmanuel
4 Veneziano, Francesco
4 Voloch, José Felipe
4 von zur Gathen, Joachim
4 Yasufuku, Yu
4 Yu, Guangsheng
4 Ziegler, Volker
3 Aslanyan, Vahagn A.
3 Bandini, Andrea
3 Bazzoni, Silvana
3 Bennett, Michael A.
3 Bogomolov, Fedor Alekseivich
3 Bundschuh, Peter
3 Canci, Jung Kyu
3 Daw, Christopher
3 Dèbes, Pierre
3 Gillibert, Florence
3 Heintze, Sebastian
3 Hu, Peichu
3 Ingram, Patrick
3 Javanpeykar, Ariyan
3 Kreso, Dijana
3 Picozza, Giampaolo
3 Pizarro-Madariaga, Amalia
3 Qi, Wenfeng
3 Riffaut, Antonin
3 Sha, Min
3 Sombra, Martín
3 Tran Van Tan
3 Turchet, Amos
3 van der Poorten, Alfred J.
3 Widmer, Martin
3 Yang, Chung-Chun
3 Zheng, Qunxiong
3 Ziegler, Konstantin
2 Adamczewski, Boris
2 Bainbridge, Matt
2 Barbero, Stefano
2 Bézivin, Jean-Paul
2 Bourgain, Jean
2 Cerruti, Umberto
2 Chambert-Loir, Antoine
2 Chang, Mei-Chu
2 Chen, Yonggao
2 Chen, Zhihua
2 Cilleruelo, Javier
2 Clark, Peter Louis
...and 376 more Authors
all top 5

Cited in 154 Serials

46 Journal of Number Theory
31 Journal de Théorie des Nombres de Bordeaux
24 Transactions of the American Mathematical Society
22 Proceedings of the American Mathematical Society
20 International Journal of Number Theory
15 Acta Arithmetica
15 Monatshefte für Mathematik
12 Mathematische Annalen
12 Rendiconti del Seminario Matematico della Università di Padova
11 Israel Journal of Mathematics
10 Duke Mathematical Journal
9 Compositio Mathematica
9 Journal of Algebra
9 Manuscripta Mathematica
9 Mathematische Zeitschrift
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Bulletin of the Australian Mathematical Society
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Annales de l’Institut Fourier
8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 Annals of Mathematics. Second Series
7 Journal für die Reine und Angewandte Mathematik
7 Algebra & Number Theory
6 Mathematics of Computation
6 Advances in Mathematics
6 Selecta Mathematica. New Series
5 Periodica Mathematica Hungarica
5 Rocky Mountain Journal of Mathematics
5 Bulletin of the London Mathematical Society
5 Inventiones Mathematicae
5 Ergodic Theory and Dynamical Systems
5 Journal of Symbolic Computation
5 Journal of the European Mathematical Society (JEMS)
5 Research in Number Theory
4 Communications in Algebra
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Michigan Mathematical Journal
4 Revista Matemática Iberoamericana
4 Forum Mathematicum
3 Journal of Mathematical Analysis and Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Archiv der Mathematik
3 Commentarii Mathematici Helvetici
3 Journal of Combinatorial Theory. Series A
3 Mathematika
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 The Journal of Geometric Analysis
3 Indagationes Mathematicae. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Bulletin des Sciences Mathématiques
3 Journal of the Australian Mathematical Society
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Forum of Mathematics, Sigma
3 Actes des Rencontres du C.I.R.M.
2 Acta Mathematica
2 Canadian Mathematical Bulletin
2 Functiones et Approximatio. Commentarii Mathematici
2 Publications Mathématiques
2 Journal of Pure and Applied Algebra
2 Mathematische Nachrichten
2 Tohoku Mathematical Journal. Second Series
2 Acta Mathematica Hungarica
2 Annals of Pure and Applied Logic
2 International Journal of Mathematics
2 Designs, Codes and Cryptography
2 Elemente der Mathematik
2 L’Enseignement Mathématique. 2e Série
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Experimental Mathematics
2 Annales Mathématiques Blaise Pascal
2 The Ramanujan Journal
2 Acta Mathematica Sinica. English Series
2 Journal of the Institute of Mathematics of Jussieu
2 Complex Variables and Elliptic Equations
2 Journal of Commutative Algebra
2 Cryptography and Communications
2 Science China. Mathematics
2 European Journal of Mathematics
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Houston Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Dissertationes Mathematicae
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Slovaca
1 Notre Dame Journal of Formal Logic
...and 54 more Serials

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