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Zannier, Umberto M.

Author ID: zannier.umberto-m Recent zbMATH articles by "Zannier, Umberto M."
Published as: Zannier, Umberto; Zannier, U.; Zannier, Umberto M.
Further Spellings: Заннье У
Homepage: https://en.sns.it/ugov/persone/umberto-zannier
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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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
6 Mathematische Zeitschrift
5 Advances in Mathematics
5 Bulletin of the London Mathematical Society
5 Journal für die Reine und Angewandte Mathematik
5 Proceedings of the American Mathematical Society
5 L’Enseignement Mathématique. 2e Série
5 Journal de Théorie des Nombres de Bordeaux
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Colloquia
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Inventiones Mathematicae
4 Transactions of the American Mathematical Society
4 IMRN. International Mathematics Research Notices
4 Bollettino della Unione Matemàtica Italiana. Serie VII. A
3 Israel Journal of Mathematics
3 American Journal of Mathematics
3 Archiv der Mathematik
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Mathematische Annalen
3 Monatshefte für Mathematik
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 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)
2 Rivista di Matematica della Università di Parma. New Series
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 Mathematika
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Studia Scientiarum Mathematicarum Hungarica
1 Tôhoku 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 Bulletin of the American Mathematical Society. New Series
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 Pure and Applied Mathematics Quarterly
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 Annals of Mathematics Studies
1 Cambridge Tracts in Mathematics
1 Encyclopedia of Mathematics and Its Applications
1 Lecture Notes in Mathematics
1 Münster Journal of Mathematics
1 Forum of Mathematics, Sigma
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

178 Publications have been cited 1,735 times in 795 Documents Cited by Year
Polynomials with special regard to reducibility. Zbl 0956.12001
Schinzel, A.
138
2000
Some problems of unlikely intersections in arithmetic and geometry. With appendixes by David Masser. Zbl 1246.14003
Zannier, Umberto
78
2012
Intersecting a curve with algebraic subgroups of multiplicative groups. Zbl 0938.11031
Bombieri, E.; Masser, D.; Zannier, U.
57
1999
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
50
2008
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
44
2003
On a general Thue’s equation. Zbl 1125.11022
Corvaja, Pietro; Zannier, Umberto
43
2004
A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077
Bombieri, Enrico; Zannier, Umberto
42
2001
Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049
Bombieri, E.; Masser, D.; Zannier, U.
41
2007
A lower bound for the height of a rational function at \(S\)-unit points. Zbl 1086.11035
Corvaja, Pietro; Zannier, Umberto
36
2005
Torsion anomalous points and families of elliptic curves. Zbl 1225.11078
Masser, D.; Zannier, U.
35
2010
Torsion points on families of squares of elliptic curves. Zbl 1306.11047
Masser, D.; Zannier, U.
31
2012
On integral points on surfaces. Zbl 1146.11035
Corvaja, P.; Zannier, U.
31
2004
Diophantine equations with power sums and universal Hilbert sets. Zbl 0923.11103
Corvaja, P.; Zannier, U.
30
1998
Some new applications of the subspace theorem. Zbl 1010.11038
Corvaja, Pietro; Zannier, Umberto
30
2002
A relative Dobrowolski lower bound over abelian extensions. Zbl 1016.11026
Amoroso, Francesco; Zannier, Umberto
29
2000
Finiteness of integral values for the ratio of two linear recurrences. Zbl 1026.11021
Corvaja, Pietro; Zannier, Umberto
26
2002
Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040
Dvornicich, R.; Zannier, U.
25
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.
24
2003
Algebraic points on subvarieties of \(\mathbb{G}_ m^ n\). Zbl 0848.11030
Bombieri, E.; Zannier, U.
24
1995
An effective “Theorem of André” for \(CM\)-points on a plane curve. Zbl 1263.14028
Bilu, Yuri; Masser, David; Zannier, Umberto
24
2013
The class semigroup of orders in number fields. Zbl 0828.11068
Zanardo, P.; Zannier, U.
22
1994
Local-global divisibility of rational points in some commutative algebraic groups. Zbl 0987.14016
Dvornicich, Roberto; Zannier, Umberto
22
2001
On unlikely intersections of complex varieties with tori. Zbl 1162.11031
Bombieri, E.; Masser, D.; Zannier, U.
22
2008
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.
21
2015
On the greatest prime factor of \((ab+1)(ac+1)\). Zbl 1077.11052
Corvaja, P.; Zannier, U.
21
2003
Some cases of Vojta’s conjecture on integral points over function fields. Zbl 1221.11146
Corvaja, Pietro; Zannier, Umberto
20
2008
Genus one curves defined by separated variable polynomials and a polynomial Pell equation. Zbl 1025.11005
Avanzi, Roberto M.; Zannier, Umberto M.
19
2001
Fields containing values of algebraic functions. Zbl 0819.12003
Dvornicich, R.; Zannier, U.
19
1994
On fields with property (B). Zbl 1294.11112
Amoroso, Francesco; David, Sinnou; Zannier, Umberto
19
2014
Lecture notes on Diophantine analysis. With an appendix by Francesco Amoroso. Zbl 1186.11001
Zannier, Umberto
18
2009
Torsion points on families of products of elliptic curves. Zbl 1318.11075
Masser, D.; Zannier, U.
18
2014
Composite rational functions expressible with few terms. Zbl 1244.12001
Fuchs, Clemens; Zannier, Umberto
17
2012
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
17
2004
Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U.
17
2016
An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007
Dvornicich, Roberto; Zannier, Umberto
16
2004
A uniform relative Dobrowolski’s lower bound over Abelian extensions. Zbl 1205.11079
Amoroso, Francesco; Zannier, Umberto
16
2010
Ritt’s second theorem in arbitrary characteristic. Zbl 0786.12001
Zannier, Umberto
16
1993
On the number of terms of a composite polynomial. Zbl 1161.11003
Zannier, Umberto
16
2007
Some remarks on the \(S\)-unit equation in function fields. Zbl 0786.11019
Zannier, Umberto
15
1993
On Davenport’s bound for the degree of \(f^ 3 - g^ 2\) and Riemann’s existence theorem. Zbl 0840.11015
Zannier, Umberto
15
1995
A subspace theorem approach to integral points on curves. Zbl 1012.11051
Corvaja, Pietro; Zannier, Umberto
15
2002
On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011
Dvornicich, Roberto; Zannier, Umberto
15
2007
On the diophantine equation \(f(a^m,y)=b^n\). Zbl 0963.11020
Corvaja, Pietro; Zannier, Umberto
14
2000
Hilbert irreducibility above algebraic groups. Zbl 1208.11080
Zannier, Umberto
14
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
14
2013
Heights of algebraic points on subvarieties of abelian varieties. Zbl 0897.11020
Bombieri, E.; Zannier, U.
13
1996
Applications of Diophantine approximation to integral points and transcendence. Zbl 1452.11004
Corvaja, Pietro; Zannier, Umberto
12
2018
A note on Maurin’s theorem. Zbl 1209.11057
Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto
12
2010
On the number of integral points on algebraic curves. Zbl 1153.11315
Corvaja, Pietro; Zannier, Umberto
12
2003
Torsion points, Pell’s equation, and integration in elementary terms. Zbl 1470.11163
Masser, David; Zannier, Umberto
12
2020
On composite lacunary polynomials and the proof of a conjecture of Schinzel. Zbl 1177.12004
Zannier, Umberto
11
2008
On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002
Dvornicich, Roberto; Zannier, Umberto
11
2008
Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022
Bombieri, Enrico; Masser, David; Zannier, Umberto
11
2008
A note on squares in arithmetic progressions. II. Zbl 1072.11010
Zannier, Umberto; Bombieri, Enrico
11
2002
Torsion hypersurfaces on abelian schemes and Betti coordinates. Zbl 1412.14029
Corvaja, Pietro; Masser, David; Zannier, Umberto
11
2018
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
11
2013
On the Hilbert property and the fundamental group of algebraic varieties. Zbl 1391.14044
Corvaja, Pietro; Zannier, Umberto
11
2017
The Betti map associated to a section of an abelian scheme. Zbl 1460.11083
André, Y.; Corvaja, P.; Zannier, U.
11
2020
Integral points on threefolds and other varieties. Zbl 1250.11066
Corvaja, Pietro; Levin, Aaron; Zannier, Umberto
10
2009
On sums of roots of unity. Zbl 0953.11009
Dvornicich, Roberto; Zannier, Umberto
10
2000
A proof of Pisot’s \(d\)th root conjecture. Zbl 0995.11007
Zannier, Umberto
10
2000
Torsion anomalous points and families of elliptic curves. Zbl 1197.11066
Masser, David; Zannier, Umberto
10
2008
Bounded height in pencils of finitely generated subgroups. Zbl 1431.11084
Amoroso, F.; Masser, D.; Zannier, U.
9
2017
Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056
Bombieri, E.; Masser, D. W.; Zannier, U.
9
2003
Integral points, divisibility between values of polynomials and entire curves on surfaces. Zbl 1219.14028
Corvaja, Pietro; Zannier, Umberto
9
2010
Intersecting curves and algebraic subgroups: conjectures and more results. Zbl 1161.11025
Bombieri, E.; Masser, D.; Zannier, U.
9
2006
On the integer solutions of exponential equations in function fields. Zbl 1080.11028
Zannier, Umberto
9
2004
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
9
2013
An effective criterion for periodicity of \(\ell\)-adic continued fractions. Zbl 1423.11121
Capuano, Laura; Veneziano, Francesco; Zannier, Umberto
9
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
9
2019
On fewnomials, integral points, and a toric version of Bertini’s theorem. Zbl 1439.11091
Fuchs, Clemens; Mantova, Vincenzo; Zannier, Umberto
8
2018
Products of elementary matrices and non-Euclidean principal ideal domains. Zbl 1383.15011
Cossu, L.; Zanardo, P.; Zannier, U.
8
2018
Unlikely intersections and Pell’s equations in polynomials. Zbl 1367.11037
Zannier, Umberto
8
2014
On recurrent mod \(p\) sequences. Zbl 0517.10006
Perelli, A.; Zannier, U.
8
1984
On periodic \(\text{mod }p\) sequences and \(G\)-functions. (On a conjecture of Ruzsa). Zbl 0864.11005
Zannier, Umberto
8
1996
Diophantine equations with linear recurrences. An overview of some recent progress. Zbl 1162.11330
Zannier, Umberto
8
2005
Bicyclotomic polynomials and impossible intersections. Zbl 1318.11076
Masser, David; Zannier, Umberto
8
2013
On fields of algebraic numbers with bounded local degrees. (Corps de nombres algébriques à degrés locaux bornés.) Zbl 1225.11145
Checcoli, Sara; Zannier, Umberto
7
2011
On the length of the continued fraction for values of quotients of power sums. Zbl 1159.11021
Corvaja, Pietro; Zannier, Umberto
7
2005
On the reduction modulo \(p\) of an absolutely irreducible polynomial \(f(x,y)\). Zbl 0977.11011
Zannier, Umberto
7
1997
\(S\)-unit points on analytic hypersurfaces. Zbl 1118.11033
Corvaja, Pietro; Zannier, Umberto
7
2005
Fields containing values of algebraic functions. II: On a conjecture of Schinzel. Zbl 0832.12001
Dvornicich, R.; Zannier, U.
6
1995
Siegel’s lemma, Padé approximations and Jacobians. With an appendix by Umberto Zannier. Zbl 1073.11518
Bombieri, Enrico; Cohen, Paula B.
6
1997
On certain permutation groups and sums of two squares. Zbl 1306.11006
Corvaja, Pietro; Petronio, Carlo; Zannier, Umberto
6
2012
Equations in the Hadamard ring of rational functions. Zbl 1150.11008
Ferretti, Andrea; Zannier, Umberto
6
2007
Hyperelliptic continued fractions and generalized Jacobians. Zbl 1422.11156
Zannier, Umberto
6
2019
D-finiteness, rationality, and height. Zbl 1479.11055
Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto
6
2020
The dynamical Mordell-Lang conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic. Zbl 1465.11150
Corvaja, Pietro; Ghioca, Dragos; Scanlon, Thomas; Zannier, Umberto
6
2021
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
5
2014
Polynomial-exponential equations and Zilber’s conjecture. With an appendix by V. Mantova and U. Zannier. Zbl 1347.11036
Mantova, V.
5
2016
Sharpening ‘Manin-Mumford’ for certain algebraic groups of dimension 2. Zbl 1320.11051
Corvaja, Pietro; Masser, David; Zannier, Umberto
5
2013
On the integral points on certain surfaces. Zbl 1145.14023
Corvaja, Pietro; Zannier, Umberto
5
2006
On the Hilbert irreducibility theorem. Zbl 1209.11058
Zannier, U.
5
2009
Universal Hilbert subsets. Zbl 0910.12002
Dèbes, Pierre; Zannier, Umberto
5
1998
On the torsion values for sections of an elliptic scheme. Zbl 1485.14085
Corvaja, Pietro; Demeio, Julian; Masser, David; Zannier, Umberto
5
2022
Non-virtually abelian anisotropic linear groups are not boundedly generated. Zbl 1491.11045
Corvaja, Pietro; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
5
2022
On a theorem of Birch concerning sums of distinct integers taken from certain sequences. Zbl 0741.11040
Zannier, U.
4
1989
Rational points on Grassmannians and unlikely intersections in tori. Zbl 1364.11122
Capuano, L.; Masser, D.; Pila, J.; Zannier, U.
4
2016
Integral points in two-parameter orbits. Zbl 1329.14049
Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto
4
2015
Su un teorema di Polya. Zbl 0462.30018
Perelli, A.; Zannier, U.
4
1981
D-finiteness, rationality, and height. II: Lower bounds over a set of positive density. Zbl 1519.13011
Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto
1
2023
On the torsion values for sections of an elliptic scheme. Zbl 1485.14085
Corvaja, Pietro; Demeio, Julian; Masser, David; Zannier, Umberto
5
2022
Non-virtually abelian anisotropic linear groups are not boundedly generated. Zbl 1491.11045
Corvaja, Pietro; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
5
2022
On the distribution of rational points on ramified covers of abelian varieties. Zbl 1506.14048
Corvaja, Pietro; Demeio, Julian Lawrence; Javanpeykar, Ariyan; Lombardo, Davide; Zannier, Umberto
4
2022
Integral points on curves \(\frac{f(X)-f(Y)}{X-Y}\). Zbl 1495.11076
Zannier, Umberto
1
2022
Around the Chevalley-Weil theorem. Zbl 1499.14044
Corvaja, Pietro; Turchet, Amos; Zannier, Umberto
1
2022
Bounded generation by semi-simple elements: quantitative results. (Engendrement borné par éléments semi-simples: résultats quantitatifs.) Zbl 1519.11016
Corvaja, Pietro; Demeio, Julian L.; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M.
1
2022
Intersections in subvarieties of \(\mathbb{G}_{\mathrm{m}}^l\) and applications to lacunary polynomials. Zbl 1490.14098
Corvaja, Pietro; Levin, Aaron; Zannier, Umberto
1
2022
The dynamical Mordell-Lang conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic. Zbl 1465.11150
Corvaja, Pietro; Ghioca, Dragos; Scanlon, Thomas; Zannier, Umberto
6
2021
Unramified sections of the Legendre scheme and modular forms. Zbl 1497.11147
Corvaja, Pietro; Zannier, Umberto
1
2021
Torsion points, Pell’s equation, and integration in elementary terms. Zbl 1470.11163
Masser, David; Zannier, Umberto
12
2020
The Betti map associated to a section of an abelian scheme. Zbl 1460.11083
André, Y.; Corvaja, P.; Zannier, U.
11
2020
D-finiteness, rationality, and height. Zbl 1479.11055
Bell, Jason P.; Nguyen, Khoa D.; Zannier, Umberto
6
2020
On the \(p\)-adic distribution of torsion values for a section of an abelian scheme. Zbl 1451.14133
Lawrence, Brian; Zannier, Umberto
3
2020
Abelian varieties isogenous to no Jacobian. Zbl 1441.14101
Masser, David; Zannier, Umberto
2
2020
Some specialization theorems for families of abelian varieties. Zbl 1455.14087
Zannier, Umberto
1
2020
An effective criterion for periodicity of \(\ell\)-adic continued fractions. Zbl 1423.11121
Capuano, Laura; Veneziano, Francesco; Zannier, Umberto
9
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
9
2019
Hyperelliptic continued fractions and generalized Jacobians. Zbl 1422.11156
Zannier, Umberto
6
2019
A variant of the Mordell-Lang conjecture. Zbl 1440.11099
Ghioca, Dragos; Hu, Fei; Scanlon, Thomas; Zannier, Umberto
1
2019
Composite factors of binomials and linear systems in roots of unity. Zbl 1448.11064
Dvornicich, Roberto; Zannier, Umberto
1
2019
Applications of Diophantine approximation to integral points and transcendence. Zbl 1452.11004
Corvaja, Pietro; Zannier, Umberto
12
2018
Torsion hypersurfaces on abelian schemes and Betti coordinates. Zbl 1412.14029
Corvaja, Pietro; Masser, David; Zannier, Umberto
11
2018
On fewnomials, integral points, and a toric version of Bertini’s theorem. Zbl 1439.11091
Fuchs, Clemens; Mantova, Vincenzo; Zannier, Umberto
8
2018
Products of elementary matrices and non-Euclidean principal ideal domains. Zbl 1383.15011
Cossu, L.; Zanardo, P.; Zannier, U.
8
2018
On abelian multiplicatively dependent points on a curve in a torus. Zbl 1440.11101
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto
4
2018
On the existence of covers of \(\mathbb{P}_1\) associated to certain permutations. Zbl 1391.14064
Corvaja, Pietro; Zannier, Umberto
1
2018
Basics on the theory of heights and its applications to certain Diophantine problems. Zbl 1406.11062
Zannier, Umberto
1
2018
On the Hilbert property and the fundamental group of algebraic varieties. Zbl 1391.14044
Corvaja, Pietro; Zannier, Umberto
11
2017
Bounded height in pencils of finitely generated subgroups. Zbl 1431.11084
Amoroso, F.; Masser, D.; Zannier, U.
9
2017
Unlikely intersections and multiple roots of sparse polynomials. Zbl 1440.11028
Amoroso, Francesco; Sombra, Martín; Zannier, Umberto
2
2017
Relative Manin-Mumford for semi-abelian surfaces. Zbl 1408.14139
Bertrand, D.; Masser, D.; Pillay, A.; Zannier, U.
17
2016
Polynomial-exponential equations and Zilber’s conjecture. With an appendix by V. Mantova and U. Zannier. Zbl 1347.11036
Mantova, V.
5
2016
Rational points on Grassmannians and unlikely intersections in tori. Zbl 1364.11122
Capuano, L.; Masser, D.; Pila, J.; Zannier, U.
4
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.
21
2015
Integral points in two-parameter orbits. Zbl 1329.14049
Corvaja, Pietro; Sookdeo, Vijay; Tucker, Thomas J.; Zannier, Umberto
4
2015
On fields with property (B). Zbl 1294.11112
Amoroso, Francesco; David, Sinnou; Zannier, Umberto
19
2014
Torsion points on families of products of elliptic curves. Zbl 1318.11075
Masser, D.; Zannier, U.
18
2014
Unlikely intersections and Pell’s equations in polynomials. Zbl 1367.11037
Zannier, Umberto
8
2014
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
5
2014
Elementary integration of differentials in families and conjectures of Pink. Zbl 1373.11049
Zannier, Umberto
2
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
2
2014
Introductory notes on valuation rings and function fields in one variable. Zbl 1330.13001
Scognamillo, Renata; 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
24
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
14
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
11
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
9
2013
Bicyclotomic polynomials and impossible intersections. Zbl 1318.11076
Masser, David; Zannier, Umberto
8
2013
Sharpening ‘Manin-Mumford’ for certain algebraic groups of dimension 2. Zbl 1320.11051
Corvaja, Pietro; Masser, David; Zannier, Umberto
5
2013
Some problems of unlikely intersections in arithmetic and geometry. With appendixes by David Masser. Zbl 1246.14003
Zannier, Umberto
78
2012
Torsion points on families of squares of elliptic curves. Zbl 1306.11047
Masser, D.; Zannier, U.
31
2012
Composite rational functions expressible with few terms. Zbl 1244.12001
Fuchs, Clemens; Zannier, Umberto
17
2012
On certain permutation groups and sums of two squares. Zbl 1306.11006
Corvaja, Pietro; Petronio, Carlo; Zannier, Umberto
6
2012
Some remarks concerning the rank of mapping tori and ascending HNN-extensions of Abelian groups. Zbl 1286.20032
Amoroso, Francesco; Zannier, Umberto
1
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
7
2011
An \(abcd\) theorem over function fields and applications. Zbl 1252.11031
Corvaja, Pietro; Zannier, Umberto
3
2011
On the rank of certain matrices. Zbl 1275.11060
Corvaja, Pietro; Zannier, Umberto
2
2011
Torsion anomalous points and families of elliptic curves. Zbl 1225.11078
Masser, D.; Zannier, U.
35
2010
A uniform relative Dobrowolski’s lower bound over Abelian extensions. Zbl 1205.11079
Amoroso, Francesco; Zannier, Umberto
16
2010
Hilbert irreducibility above algebraic groups. Zbl 1208.11080
Zannier, Umberto
14
2010
A note on Maurin’s theorem. Zbl 1209.11057
Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto
12
2010
Integral points, divisibility between values of polynomials and entire curves on surfaces. Zbl 1219.14028
Corvaja, Pietro; Zannier, Umberto
9
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
18
2009
Integral points on threefolds and other varieties. Zbl 1250.11066
Corvaja, Pietro; Levin, Aaron; Zannier, Umberto
10
2009
On the Hilbert irreducibility theorem. Zbl 1209.11058
Zannier, U.
5
2009
Addendum to the paper: “On the number of terms of a composite polynomial”. Zbl 1217.12002
Zannier, Umberto
4
2009
On the number of terms of a power of a polynomial. Zbl 1221.11068
Schinzel, Andrzej; Zannier, Umberto
3
2009
Newton functions generating symmetric fields and irreducibility of Schur polynomials. Zbl 1229.05268
Dvornicich, R.; Zannier, U.
3
2009
Roth’s theorem, integral points and certain ramified covers of \(\mathbb P_1\). Zbl 1231.11069
Zannier, Umberto
2
2009
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
50
2008
On unlikely intersections of complex varieties with tori. Zbl 1162.11031
Bombieri, E.; Masser, D.; Zannier, U.
22
2008
Some cases of Vojta’s conjecture on integral points over function fields. Zbl 1221.11146
Corvaja, Pietro; Zannier, Umberto
20
2008
On composite lacunary polynomials and the proof of a conjecture of Schinzel. Zbl 1177.12004
Zannier, Umberto
11
2008
On the properties of Northcott and of Narkiewicz for fields of algebraic numbers. Zbl 1186.12002
Dvornicich, Roberto; Zannier, Umberto
11
2008
Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022
Bombieri, Enrico; Masser, David; Zannier, Umberto
11
2008
Torsion anomalous points and families of elliptic curves. Zbl 1197.11066
Masser, David; Zannier, Umberto
10
2008
On the maximal order of a torsion point on a curve in \(\mathbb{G}^n_m\). Zbl 1150.11023
Corvaja, Pietro; Zannier, Umberto
4
2008
Linear equations with unknowns from a multiplicative group in a function field. Zbl 1185.11022
Evertse, Jan-Hendrik; Zannier, Umberto
4
2008
Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. Zbl 1245.11086
Corvaja, Pietro; Zannier, Umberto
3
2008
Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049
Bombieri, E.; Masser, D.; Zannier, U.
41
2007
Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps). Zbl 1127.11040
Dvornicich, R.; Zannier, U.
25
2007
On the number of terms of a composite polynomial. Zbl 1161.11003
Zannier, Umberto
16
2007
On a local-global principle for the divisibility of a rational point by a positive integer. Zbl 1115.14011
Dvornicich, Roberto; Zannier, Umberto
15
2007
Equations in the Hadamard ring of rational functions. Zbl 1150.11008
Ferretti, Andrea; Zannier, Umberto
6
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.
9
2006
On the integral points on certain surfaces. Zbl 1145.14023
Corvaja, Pietro; Zannier, Umberto
5
2006
On the greatest prime factor of Markov pairs. Zbl 1215.11028
Zannier, Umberto; Corvaja, Pietro
2
2006
A lower bound for the height of a rational function at \(S\)-unit points. Zbl 1086.11035
Corvaja, Pietro; Zannier, Umberto
36
2005
Diophantine equations with linear recurrences. An overview of some recent progress. Zbl 1162.11330
Zannier, Umberto
8
2005
On the length of the continued fraction for values of quotients of power sums. Zbl 1159.11021
Corvaja, Pietro; Zannier, Umberto
7
2005
\(S\)-unit points on analytic hypersurfaces. Zbl 1118.11033
Corvaja, Pietro; Zannier, Umberto
7
2005
On the integral points on the complement of ramification-divisors. Zbl 1089.11021
Zannier, Umberto
3
2005
On the integral points on certain algebraic varieties. Zbl 1079.14028
Zannier, Umberto
1
2005
On a general Thue’s equation. Zbl 1125.11022
Corvaja, Pietro; Zannier, Umberto
43
2004
On integral points on surfaces. Zbl 1146.11035
Corvaja, P.; Zannier, U.
31
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
17
2004
An analogue for elliptic curves of the Grunwald–Wang example. Zbl 1035.14007
Dvornicich, Roberto; Zannier, Umberto
16
2004
...and 78 more Documents
all top 5

Cited by 633 Authors

80 Zannier, Umberto M.
34 Corvaja, Pietro
24 Luca, Florian
24 Shparlinski, Igor E.
21 Masser, David William
18 Ghioca, Dragos
16 Fuchs, Clemens
16 Habegger, Philipp
15 Bugeaud, Yann
15 Levin, Aaron
13 Amoroso, Francesco Antonio
13 Ostafe, Alina
13 Wang, Julie Tzu-Yueh
11 Viada, Evelina
10 Pakovich, Fedor
10 Pila, Jonathan
10 Sĩ Đức Quang
9 Bilu, Yuri F.
9 Checcoli, Sara
9 Dvornicich, Roberto
9 Gao, Ziyang
9 Nguyen, Khoa Dang
9 Paladino, Laura
9 Ru, Min
8 Bell, Jason P.
8 Murru, Nadir
8 Pottmeyer, Lukas
8 Schmidt, Harry
7 Dubickas, Artūras
7 Javanpeykar, Ariyan
7 Ranieri, Gabriele
7 Silverman, Joseph Hillel
7 Veneziano, Francesco
6 Bombieri, Enrico
6 Capuano, Laura
6 Hajdu, Lajos
6 Heintze, Sebastian
6 Kaneko, Hajime
6 Petronio, Carlo
6 Sanna, Carlo
6 Turchet, Amos
6 Ullmo, Emmanuel
6 Yan, Qiming
6 Zanardo, Paolo
6 Ziegler, Volker
5 Aslanyan, Vahagn A.
5 Barroero, Fabrizio
5 Bertrand, Daniel
5 Binyamini, Gal
5 David, Sinnou
5 Fili, Paul A.
5 Gabelli, Stefania
5 Gillibert, Jean
5 Guo, Ji
5 Mello, Jorge
5 Sha, Min
5 Tạ Thị Hoài An
5 Terracini, Lea
5 Tucker, Thomas John
5 Widmer, Martin
5 Yafaev, Andrei
5 Yasufuku, Yu
4 Bennett, Michael A.
4 Chen, Yonggao
4 Cossu, Laura
4 Daw, Christopher
4 Demeio, Julian Lawrence
4 Gillibert, Florence
4 Hsia, Liang-Chung
4 Kabbaj, Salah-Eddine
4 Kirby, Jonathan
4 Kreso, Dijana
4 Kühne, Lars
4 Miles, Richard B.
4 Mimouni, Abdeslam
4 Saleh, Sina
4 Tran Van Tan
4 Voloch, José Felipe
4 von zur Gathen, Joachim
4 Yu, Guangsheng
4 Zieve, Michael E.
3 Bandini, Andrea
3 Bazzoni, Silvana
3 Bogomolov, Fedor Alekseivich
3 Bundschuh, Peter
3 Canci, Jung Kyu
3 Dèbes, Pierre
3 DeMarco, Laura Grace
3 Dill, Gabriel A.
3 Fowler, Guy
3 Gillibert, Pierre
3 Hindes, Wade
3 Hu, Peichu
3 Ingram, Patrick
3 Klingler, Bruno
3 König, Joachim
3 Le Fourn, Samuel
3 Maurin, Guillaume
3 Mavraki, Niki Myrto
3 Möller, Martin
...and 533 more Authors
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Cited in 189 Serials

56 Journal of Number Theory
34 Journal de Théorie des Nombres de Bordeaux
32 International Journal of Number Theory
30 Transactions of the American Mathematical Society
23 Proceedings of the American Mathematical Society
21 Acta Arithmetica
18 Monatshefte für Mathematik
17 Mathematische Annalen
15 Mathematische Zeitschrift
14 Algebra & Number Theory
13 Israel Journal of Mathematics
13 Compositio Mathematica
12 Bulletin of the London Mathematical Society
12 Rendiconti del Seminario Matematico della Università di Padova
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Duke Mathematical Journal
11 Journal of Algebra
11 Manuscripta Mathematica
11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
10 Annales de l’Institut Fourier
10 Journal für die Reine und Angewandte Mathematik
9 Bulletin of the Australian Mathematical Society
9 Selecta Mathematica. New Series
9 Annals of Mathematics. Second Series
9 Research in Number Theory
8 Advances in Mathematics
8 Inventiones Mathematicae
8 Journal of the European Mathematical Society (JEMS)
7 Communications in Algebra
7 Mathematics of Computation
6 Periodica Mathematica Hungarica
6 Rocky Mountain Journal of Mathematics
6 Ergodic Theory and Dynamical Systems
6 The Journal of Geometric Analysis
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Journal of the London Mathematical Society. Second Series
5 Mathematika
5 Pacific Journal of Mathematics
5 Journal of Symbolic Computation
5 The Ramanujan Journal
5 European Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Canadian Mathematical Bulletin
4 Michigan Mathematical Journal
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Revista Matemática Iberoamericana
4 Forum Mathematicum
4 Experimental Mathematics
4 Forum of Mathematics, Sigma
3 Journal of Mathematical Analysis and Applications
3 Archiv der Mathematik
3 Commentarii Mathematici Helvetici
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Combinatorial Theory. Series A
3 Journal of Pure and Applied Algebra
3 Acta Mathematica Hungarica
3 Annals of Pure and Applied Logic
3 L’Enseignement Mathématique. 2e Série
3 Bulletin of the American Mathematical Society. New Series
3 Expositiones Mathematicae
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 Complex Variables and Elliptic Equations
3 Journal of Commutative Algebra
3 Actes des Rencontres du C.I.R.M.
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica
2 Bulletin de la Société Mathématique de France
2 Canadian Journal of Mathematics
2 Colloquium Mathematicum
2 Publications Mathématiques
2 Mathematische Nachrichten
2 Proceedings of the London Mathematical Society. Third Series
2 Theoretical Computer Science
2 Tôhoku Mathematical Journal. Second Series
2 International Journal of Mathematics
2 Designs, Codes and Cryptography
2 Elemente der Mathematik
2 Linear Algebra and its Applications
2 Annales Mathématiques Blaise Pascal
2 The New York Journal of Mathematics
2 Izvestiya: Mathematics
2 Vietnam Journal of Mathematics
2 Acta Mathematica Sinica. English Series
2 Journal of the Institute of Mathematics of Jussieu
2 Uniform Distribution Theory
2 Cryptography and Communications
2 Science China. Mathematics
2 Arnold Mathematical Journal
1 American Mathematical Monthly
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
...and 89 more Serials
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Cited in 40 Fields

630 Number theory (11-XX)
275 Algebraic geometry (14-XX)
84 Dynamical systems and ergodic theory (37-XX)
75 Field theory and polynomials (12-XX)
61 Several complex variables and analytic spaces (32-XX)
48 Commutative algebra (13-XX)
40 Mathematical logic and foundations (03-XX)
37 Functions of a complex variable (30-XX)
32 Group theory and generalizations (20-XX)
14 Computer science (68-XX)
13 Combinatorics (05-XX)
11 Manifolds and cell complexes (57-XX)
8 Special functions (33-XX)
8 Difference and functional equations (39-XX)
8 Convex and discrete geometry (52-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Associative rings and algebras (16-XX)
6 Topological groups, Lie groups (22-XX)
6 Information and communication theory, circuits (94-XX)
5 Differential geometry (53-XX)
4 History and biography (01-XX)
3 Real functions (26-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Probability theory and stochastic processes (60-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Functional analysis (46-XX)
2 General topology (54-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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