Edit Profile (opens in new tab) Bombieri, Enrico Compute Distance To: Compute Author ID: bombieri.enrico Published as: Bombieri, E.; Bombieri, Enrico Further Spellings: Бомбьери Энрико Homepage: https://www.math.ias.edu/people/faculty/eb External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Fields Medal (1974) Documents Indexed: 175 Publications since 1957, including 5 Books 4 Contributions as Editor · 4 Further Contributions Biographic References: 4 Publications Co-Authors: 56 Co-Authors with 86 Joint Publications 1,610 Co-Co-Authors all top 5 Co-Authors 94 single-authored 15 Zannier, Umberto M. 8 Mueller, Julia H. 7 Masser, David William 6 Iwaniec, Henryk 5 Friedlander, John Benjamin 5 van der Poorten, Alfred J. 4 Bourgain, Jean 4 Davenport, Harold 4 Giusti, Enrico 4 Perelli, Alberto 3 De Giorgi, Ennio 3 Sperber, Steven I. 3 Tretkoff, Paula 3 Vaaler, Jeffrey D. 2 Catanese, Fabrizio M. E. 2 Gubler, Walter Bruno 2 Hejhal, Dennis A. 2 Hunt, David C. 2 Mumford, David Bryant 2 Schmidt, Wolfgang M. 2 Taylor, Jean Ellen 1 Andreotti, Aldo 1 Arthur, James Greig 1 Aubert, Karl Egil 1 Beauzamy, Bernard 1 Berger, Melvyn S. 1 Birch, Bryan John 1 Carlson, James A. 1 Cenkl, Bohous 1 Chandrasekharan, Komaravolu 1 Cook, Stephen Arthur 1 Deligne, Pierre René 1 Enflo, Per H. 1 Fefferman, Charles Louis 1 Garabedian, Paul Roesel 1 Ghosh, Amit 1 Goldfeld, Dorian Morris 1 Goldschmidt, Hubert Leopold 1 Granville, Andrew James 1 Gray, Jeremy John 1 Griffiths, Phillip Augustus 1 Habegger, Philipp 1 Hirzebruch, Friedrich 1 Husemoller, Dale H. 1 Jaffe, Arthur Michael 1 Katz, Nicholas Michael 1 Kohn, Joseph J. 1 Konyagin, Sergeĭ Vladimirovich 1 Lagarias, Jeffrey C. 1 Lang, Serge 1 Lelong, Pierre 1 Milnor, John Willard 1 Montgomery, Hugh Lowell 1 Nirenberg, Louis 1 Odlyzko, Andrew M. 1 Pila, Jonathan 1 Pintz, Janos 1 Poe, Milja 1 Prasad, Gopal 1 Ragnedda, Pasquale 1 Salerno, Saverio 1 Serre, Jean-Pierre 1 Simon, Leon Melvin 1 Springer, Tonny Albert 1 Swinnerton-Dyer, Peter 1 Tits, Jacques 1 Wiles, Andrew John 1 Witten, Edward all top 5 Serials 11 Inventiones Mathematicae 10 Acta Arithmetica 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 IMRN. International Mathematics Research Notices 6 Bollettino della Unione Matematica Italiana. Series III 4 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 3 American Journal of Mathematics 3 Duke Mathematical Journal 3 Journal of Number Theory 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 L’Enseignement Mathématique. 2e Série 3 Notices of the American Mathematical Society 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Acta Mathematica 2 Michigan Mathematical Journal 2 Journal of the Australian Mathematical Society. Series A 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Expositiones Mathematicae 2 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Scienze Matematiche, Fisiche, Chimiche e Geologiche, Serie A 2 Rivista di Matematica della Universitá di Parma, II. Serie 2 Astérisque 2 New Mathematical Monographs 1 Russian Mathematical Surveys 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Internationale Mathematische Nachrichten 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Rendiconti del Seminario della Facoltà di Scienze dell’ Università di Cagliari 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Izvestiya: Mathematics 1 The Asian Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bollettino della Unione Matematica Italiana. Series IV 1 Rivista di Matematica della Università di Parma 1 Annals of Mathematics Studies 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Proceedings of the Steklov Institute of Mathematics 1 CIME Summer Schools 1 Journal de Physique 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I all top 5 Fields 112 Number theory (11-XX) 39 Algebraic geometry (14-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 10 History and biography (01-XX) 8 Field theory and polynomials (12-XX) 7 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 2,964 times in 2,341 Documents Cited by ▼ Year ▼ Heights in Diophantine geometry. Zbl 1115.11034Bombieri, Enrico; Gubler, Walter 244 2006 Minimal cones and the Bernstein problem. Zbl 0183.25901Bombieri, E.; De Giorgi, E.; Giusti, E. 219 1969 Canonical models of surfaces of general type. Zbl 0259.14005Bombieri, E. 152 1972 On Siegel’s lemma. Zbl 0533.10030Bombieri, E.; Vaaler, J. 117 1983 The number of integral points on arcs and ovals. Zbl 0718.11048Bombieri, E.; Pila, J. 107 1989 On the large sieve. Zbl 0136.33004Bombieri, E. 100 1965 Primes in arithmetic progressions to large moduli. Zbl 0588.10042Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 86 1986 On exponential sums in finite fields. Zbl 0171.41504Bombieri, E. 86 1966 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010Bombieri, E.; Mumford, D. 76 1976 Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche. Zbl 0184.32803Bombieri, E.; De Giorgi, E.; Miranda, M. 73 1969 On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author. Zbl 0549.14012Catanese, F. 56 1984 Algebraic values of meromorphic maps. Zbl 0214.33702Bombieri, E. 55 1970 Regularity theory for almost minimal currents. Zbl 0485.49024Bombieri, Enrico 54 1982 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079Bombieri, Enrico; Lagarias, Jeffrey C. 54 1999 Harnack’s inequality for elliptic differential equations on minimal surfaces. Zbl 0227.35021Bombieri, E.; Giusti, E. 51 1972 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021Bombieri, E.; Mumford, D. 47 1977 On the order of \(\zeta(+it)\). Zbl 0615.10047Bombieri, E.; Iwaniec, H. 47 1986 Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri. Zbl 0572.10029Friedlander, John B.; Iwaniec, Henryk 46 1985 On Thue’s equation. Zbl 0614.10018Bombieri, E.; Schmidt, W. M. 43 1987 Intersecting a curve with algebraic subgroups of multiplicative groups. Zbl 0938.11031Bombieri, E.; Masser, D.; Zannier, U. 42 1999 Sugli omeomorfismi delle varieta algebriche. Zbl 0184.24503Andreotti, Aldo; Bombieri, E. 37 1969 Products of polynomials in many variables. Zbl 0729.30004Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. 37 1990 The large sieve in analytic number theory. (Le grand crible dans la théorie analytique des nombres.) Zbl 0292.10035Bombieri, Enrico 36 1974 Primes in arithmetic progressions to large moduli. II. Zbl 0625.10036Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 35 1987 On the distribution of zeros of linear combinations of Euler products. Zbl 0853.11074Bombieri, E.; Hejhal, D. A. 34 1995 Small differences between prime numbers. Zbl 0151.04201Bombieri, E.; Davenport, Harold 33 1966 A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077Bombieri, Enrico; Zannier, Umberto 33 2001 Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049Bombieri, E.; Masser, D.; Zannier, U. 32 2007 On exponential sums in finite fields. II. Zbl 0396.14001Bombieri, E. 31 1978 Which distributions of matter diffract? An initial investigation. Zbl 0693.52002Bombieri, E.; Taylor, Jean E. 31 1986 On the local maximum property of the Koebe function. Zbl 0174.12301Bombieri, E. 30 1967 A remark on Bohr’s inequality. Zbl 1069.30001Bombieri, E.; Bourgain, J. 30 2004 Sopra un teorema di H. Bohr e G. Ricci sulle funzioni maggioranti delle serie di potenze. Zbl 0109.04801Bombieri, E. 26 1962 Primes in arithmetic progressions to large moduli. III. Zbl 0674.10036Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 26 1989 Continued fractions and the Markoff tree. Zbl 1153.11030Bombieri, Enrico 23 2007 Le grand crible dans la théorie analytique des nombres. (2e éd. rev. et augmentée). (The large sieve in analytic number theory). Zbl 0618.10042Bombieri, Enrico 22 1987 On the Thue-Siegel-Dyson theorem. Zbl 0505.10015Bombieri, Enrico 22 1982 The Mordell conjecture revisited. Zbl 0722.14010Bombieri, Enrico 22 1990 Algebraic points on subvarieties of \(\mathbb{G}_ m^ n\). Zbl 0848.11030Bombieri, E.; Zannier, U. 22 1995 Local estimates for the gradient of non-parametric surfaces of prescribed mean curvature. Zbl 0266.53042Bombieri, E.; Giusti, E. 21 1973 The Millennium Prize problems. Zbl 1155.00001 20 2006 Classification and embeddings of surfaces. Zbl 0326.14009Bombieri, Enrico; Husemoller, Dale H. 20 1975 Quasicrystals, tilings, and algebraic number theory: some preliminary connections. Zbl 0617.43002Bombieri, Enrico; Taylor, Jean E. 19 1987 Thompson’s problem (\(\sigma^2=3\)) With two appendices. I: The numerical verification of Thompson’s identity by Andrew Odlyzko: II: A check of the Ree group conjecture for small fields by David Hunt. Zbl 0442.20016Bombieri, Enrico 19 1980 Some mean-value theorems for exponential sums. Zbl 0615.10046Bombieri, E.; Iwaniec, H. 18 1986 Heights in Diophantine geometry. Paperback reprint of the 2006 original. Zbl 1130.11034Bombieri, Enrico; Gubler, Walter 18 2007 On unlikely intersections of complex varieties with tori. Zbl 1162.11031Bombieri, E.; Masser, D.; Zannier, U. 18 2008 A problem on sums of two squares. Zbl 1364.11091Bombieri, Enrico; Bourgain, Jean 18 2015 On the local zeta function of a cubic threefold. Zbl 0153.50501Bombieri, E.; Swinnerton-Dyer, H. P. F. 17 1967 Distinct zeros of \(L\)-functions. Zbl 0891.11044Bombieri, E.; Perelli, A. 16 1998 On effective measures of irrationality for \(\root r\of {a/b}\) and related numbers. Zbl 0516.10024Bombieri, Enrico; Mueller, Julia 16 1983 On Weil’s ”theoreme de decomposition”. Zbl 0516.12009Bombieri, Enrico 16 1983 On G-functions. Zbl 0461.10031Bombieri, E. 14 1981 Squares in arithmetic progressions. Zbl 0771.11034Bombieri, Enrico; Granville, Andrew; Pintz, János 13 1992 Heights of algebraic points on subvarieties of abelian varieties. Zbl 0897.11020Bombieri, E.; Zannier, U. 13 1996 Around the Davenport-Heilbronn function. Zbl 1247.11116Bombieri, E.; Ghosh, A. 12 2011 Analytic subgroups of group varieties. Zbl 0237.14015Bombieri, Enrico; Lang, Serge 12 1970 Seminormalita e singolarita ordinarie. Zbl 0294.14015Bombieri, E. 12 1973 Effective Diophantine approximation on \(\mathbb{G}_ m\). Zbl 0774.11034Bombieri, Enrico 11 1993 Some quantitative results related to Roth’s theorem. Zbl 0664.10017Bombieri, E.; van der Poorten, A. J. 11 1988 Polynomials with low height and prescribed vanishing. Zbl 0629.10024Bombieri, Enrico; Vaaler, Jeffrey D. 10 1987 Remarks on Weil’s quadratic functional in the theory of prime numbers. I. Zbl 1008.11034Bombieri, Enrico 10 2000 The pluricanonical map of a complex surface. Zbl 0213.47601Bombieri, Enrico 10 1970 On the large sieve method. Zbl 0207.05702Bombieri, E.; Davenport, Harold 9 1968 On Kahane’s ultraflat polynomials. Zbl 1170.42001Bombieri, Enrico; Bourgain, Jean 9 2009 The Riemann hypothesis. Zbl 1194.11001Bombieri, Enrico 8 2006 Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D. 8 1996 Sur les zéros des fonctions zêta d’Epstein. (On the zeros of Epstein zeta-functions). Zbl 0638.10043Bombieri, Enrico; Hejhal, Dennis A. 8 1987 The classical theory of zeta and \(L\)-functions. Zbl 1275.11117Bombieri, E. 8 2010 Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022Bombieri, Enrico; Masser, David; Zannier, Umberto 8 2008 Counting points on curves over inite fields (d’apres S. A. Stepanov). Zbl 0307.14011Bombieri, Enrico 8 1974 Sulle formule di A. Selberg generalizzate per classi di funzioni aritmetiche e le applicazioni al problema del resto nel ’Primzahlsatz’. Zbl 0121.28307Bombieri, E. 7 1962 Sul teorema di Tschebotarev. (On a theorem of Chebotarev). Zbl 0123.04505Bombieri, E. 7 1963 Some inequalities involving trigonometrical polynomials. Zbl 0186.08201Bombieri, E.; Davenport, Harold 7 1969 A geometric approach to some coefficient inequalities for univalent functions. Zbl 0186.13201Bombieri, E. 7 1968 A note on Maurin’s theorem. Zbl 1209.11057Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto 7 2010 Continued fractions of algebraic numbers. Zbl 0835.11025Bombieri, Enrico; van der Poorten, Alfred J. 7 1995 Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056Bombieri, E.; Masser, D. W.; Zannier, U. 7 2003 A note on the large sieve. Zbl 0219.10055Bombieri, E. 7 1971 A note on squares in arithmetic progressions. II. Zbl 1072.11010Zannier, Umberto; Bombieri, Enrico 7 2002 On twin almost primes. Zbl 0319.10051Bombieri, Enrico 7 1975 Recent progress in the theory of minimal surfaces. Zbl 0414.49032Bombieri, E. 6 1979 Intersecting curves and algebraic subgroups: conjectures and more results. Zbl 1161.11025Bombieri, E.; Masser, D.; Zannier, U. 6 2006 A note on lower bounds for Frobenius traces. Zbl 1220.11078Bombieri, Enrico; Katz, Nicholas M. 6 2010 On the zeros of certain Epstein zeta functions. Zbl 1217.11040Bombieri, Enrico; Mueller, Julia 6 2008 On Poincaré’s isoperimetric problem for simple closed geodesics. Zbl 0469.58007Berger, M. S.; Bombieri, E. 5 1981 Dirichlet polynomial approximations to zeta functions. Zbl 0837.11051Bombieri, E.; Friedlander, J. B. 5 1995 On the estimation of certain exponential sums. Zbl 0826.11040Bombieri, E.; Sperber, S. 5 1995 An introduction to minimal currents and parametric variational problems. Zbl 0875.49032Bombieri, E. 5 1985 Siegel’s lemma, Padé approximations and Jacobians. With an appendix by Umberto Zannier. Zbl 1073.11518Bombieri, Enrico; Cohen, Paula B. 4 1997 On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018Bombieri, E.; Sperber, S. 4 1982 The asymptotic sieve. Zbl 0422.10042Bombieri, Enrico 4 1976 Sul problema di Bieberbach per le funzioni univalenti. Zbl 0151.09303Bombieri, E. 4 1963 Effective diophantine approximation on \(\mathbb{G}_M\). II. Zbl 0912.11028Bombieri, E.; Cohen, P. B. 4 1997 The generalized Fermat equation in function fields. Zbl 0739.11012Bombieri, E.; Mueller, J. 3 1991 Recent progress in the theory of minimal surfaces. Zbl 0436.49031Bombieri, E. 3 1979 Sulla dimostrazione di C.L. Siegel del teorema fondamentale di Minkowski nella geometrica dei numeri. Zbl 0107.26902Bombieri, E. 3 1962 On the analogue of Selberg’s formula for function fields. (Sull-analoge della formula di Selberg nei corpi di funzioni.) Zbl 0121.28201Bombieri, Enrico 3 1963 Sulla seconda variazione della funzione di Koebe. Zbl 0143.09904Bombieri, E. 3 1967 Nuovi risultati sulle ipersuperfici minimali non parametriche. Zbl 0188.17601Bombieri, E. 3 1968 New progress on the zeta function: from old conjectures to a major breakthrough. Zbl 1431.11104Bombieri, Enrico 3 2019 A problem on sums of two squares. Zbl 1364.11091Bombieri, Enrico; Bourgain, Jean 18 2015 Around the Davenport-Heilbronn function. Zbl 1247.11116Bombieri, E.; Ghosh, A. 12 2011 The classical theory of zeta and \(L\)-functions. Zbl 1275.11117Bombieri, E. 8 2010 A note on Maurin’s theorem. Zbl 1209.11057Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto 7 2010 A note on lower bounds for Frobenius traces. Zbl 1220.11078Bombieri, Enrico; Katz, Nicholas M. 6 2010 On Kahane’s ultraflat polynomials. Zbl 1170.42001Bombieri, Enrico; Bourgain, Jean 9 2009 Roots of polynomials in subgroups of \(\mathbb F_p^{\ast}\) and applications to congruences. Zbl 1213.11058Bombieri, E.; Bourgain, J.; Konyagin, S. V. 1 2009 On unlikely intersections of complex varieties with tori. Zbl 1162.11031Bombieri, E.; Masser, D.; Zannier, U. 18 2008 Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022Bombieri, Enrico; Masser, David; Zannier, Umberto 8 2008 On the zeros of certain Epstein zeta functions. Zbl 1217.11040Bombieri, Enrico; Mueller, Julia 6 2008 Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049Bombieri, E.; Masser, D.; Zannier, U. 32 2007 Continued fractions and the Markoff tree. Zbl 1153.11030Bombieri, Enrico 23 2007 Heights in Diophantine geometry. Paperback reprint of the 2006 original. Zbl 1130.11034Bombieri, Enrico; Gubler, Walter 18 2007 Heights in Diophantine geometry. Zbl 1115.11034Bombieri, Enrico; Gubler, Walter 244 2006 The Millennium Prize problems. Zbl 1155.00001 20 2006 The Riemann hypothesis. Zbl 1194.11001Bombieri, Enrico 8 2006 Intersecting curves and algebraic subgroups: conjectures and more results. Zbl 1161.11025Bombieri, E.; Masser, D.; Zannier, U. 6 2006 The Rosetta stone of \(L\)-functions. Zbl 1184.11028Bombieri, Enrico 1 2005 A remark on Bohr’s inequality. Zbl 1069.30001Bombieri, E.; Bourgain, J. 30 2004 On the number of rational points on certain elliptic curves. Zbl 1080.11050Bombieri, E.; Zannier, U. 1 2004 Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056Bombieri, E.; Masser, D. W.; Zannier, U. 7 2003 A variational approach to the explicit formula. Zbl 1048.11070Bombieri, Enrico 1 2003 An elementary approach to effective Diophantine approximation on \(\mathbb{G}_m\). Zbl 1077.11054Bombieri, Enrico; Cohen, Paula B. 1 2003 A note on squares in arithmetic progressions. II. Zbl 1072.11010Zannier, Umberto; Bombieri, Enrico 7 2002 Forty years of effective results in Diophantine theory. Zbl 1080.11053Bombieri, Enrico 1 2002 A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077Bombieri, Enrico; Zannier, Umberto 33 2001 Equations in one variable over function fields. Zbl 0973.11014Bombieri, Enrico; Mueller, Julia; Zannier, Umberto 2 2001 Zeros and poles of Dirichlet series. Zbl 1170.11320Bombieri, Enrico; Perelli, Alberto 2 2001 Remarks on Weil’s quadratic functional in the theory of prime numbers. I. Zbl 1008.11034Bombieri, Enrico 10 2000 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079Bombieri, Enrico; Lagarias, Jeffrey C. 54 1999 Intersecting a curve with algebraic subgroups of multiplicative groups. Zbl 0938.11031Bombieri, E.; Masser, D.; Zannier, U. 42 1999 Distinct zeros of \(L\)-functions. Zbl 0891.11044Bombieri, E.; Perelli, A. 16 1998 Siegel’s lemma, Padé approximations and Jacobians. With an appendix by Umberto Zannier. Zbl 1073.11518Bombieri, Enrico; Cohen, Paula B. 4 1997 Effective diophantine approximation on \(\mathbb{G}_M\). II. Zbl 0912.11028Bombieri, E.; Cohen, P. B. 4 1997 Remarks on the analytic complexity of zeta functions. Zbl 1030.11041Bombieri, Enrico 3 1997 Subvarieties of linear tori and the unit equation. A survey. Zbl 0923.11097Bombieri, Enrico 2 1997 Heights of algebraic points on subvarieties of abelian varieties. Zbl 0897.11020Bombieri, E.; Zannier, U. 13 1996 Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D. 8 1996 On the distribution of zeros of linear combinations of Euler products. Zbl 0853.11074Bombieri, E.; Hejhal, D. A. 34 1995 Algebraic points on subvarieties of \(\mathbb{G}_ m^ n\). Zbl 0848.11030Bombieri, E.; Zannier, U. 22 1995 Continued fractions of algebraic numbers. Zbl 0835.11025Bombieri, Enrico; van der Poorten, Alfred J. 7 1995 Dirichlet polynomial approximations to zeta functions. Zbl 0837.11051Bombieri, E.; Friedlander, J. B. 5 1995 On the estimation of certain exponential sums. Zbl 0826.11040Bombieri, E.; Sperber, S. 5 1995 Trinomial equations in function fields. Zbl 0824.11013Bombieri, Enrico; Mueller, Julia 2 1995 Determinants in the study of Thue’s method and curves with prescribed singularities. Zbl 0862.11029Bombieri, Enrico; Hunt, David C.; van der Poorten, Alfred J. 1 1995 On the Thue-Mahler equation. II. Zbl 0820.11017Bombieri, Enrico 2 1994 Effective Diophantine approximation on \(\mathbb{G}_ m\). Zbl 0774.11034Bombieri, Enrico 11 1993 Squares in arithmetic progressions. Zbl 0771.11034Bombieri, Enrico; Granville, Andrew; Pintz, János 13 1992 Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Zbl 0772.00021 1 1992 The generalized Fermat equation in function fields. Zbl 0739.11012Bombieri, E.; Mueller, J. 3 1991 Errata: The Mordell conjecture revisited. Zbl 0763.14007Bombieri, Enrico 1 1991 Products of polynomials in many variables. Zbl 0729.30004Beauzamy, Bernard; Bombieri, Enrico; Enflo, Per; Montgomery, Hugh L. 37 1990 The Mordell conjecture revisited. Zbl 0722.14010Bombieri, Enrico 22 1990 Some quantitative results related to Roth’s theorem: Corrigenda. Zbl 0697.10028Bombieri, E.; van der Poorten, A. J. 1 1990 Correction to my paper “On the analogue of Selberg’s formula in function fields”. Zbl 0714.11060Bombieri, Enrico 1 1990 On Vinogradov’s mean value theorem and Weyl sums. Zbl 0734.11043Bombieri, E. 1 1990 The number of integral points on arcs and ovals. Zbl 0718.11048Bombieri, E.; Pila, J. 107 1989 Primes in arithmetic progressions to large moduli. III. Zbl 0674.10036Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 26 1989 Number theory, trace formulas, and discrete groups. Symposium in Honor of Atle Selberg, Oslo, Norway, July 14-21, 1987. Zbl 0661.00005 1 1989 Some quantitative results related to Roth’s theorem. Zbl 0664.10017Bombieri, E.; van der Poorten, A. J. 11 1988 On Thue’s equation. Zbl 0614.10018Bombieri, E.; Schmidt, W. M. 43 1987 Primes in arithmetic progressions to large moduli. II. Zbl 0625.10036Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 35 1987 Le grand crible dans la théorie analytique des nombres. (2e éd. rev. et augmentée). (The large sieve in analytic number theory). Zbl 0618.10042Bombieri, Enrico 22 1987 Quasicrystals, tilings, and algebraic number theory: some preliminary connections. Zbl 0617.43002Bombieri, Enrico; Taylor, Jean E. 19 1987 Polynomials with low height and prescribed vanishing. Zbl 0629.10024Bombieri, Enrico; Vaaler, Jeffrey D. 10 1987 Sur les zéros des fonctions zêta d’Epstein. (On the zeros of Epstein zeta-functions). Zbl 0638.10043Bombieri, Enrico; Hejhal, Dennis A. 8 1987 Lectures on the Thue principle. Zbl 0629.10025Bombieri, Enrico 1 1987 On the Thue-Mahler equation. Zbl 0646.10009Bombieri, E. 1 1987 Primes in arithmetic progressions to large moduli. Zbl 0588.10042Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 86 1986 On the order of \(\zeta(+it)\). Zbl 0615.10047Bombieri, E.; Iwaniec, H. 47 1986 Which distributions of matter diffract? An initial investigation. Zbl 0693.52002Bombieri, E.; Taylor, Jean E. 31 1986 Some mean-value theorems for exponential sums. Zbl 0615.10046Bombieri, E.; Iwaniec, H. 18 1986 Remarks on the approximation to an algebraic number by algebraic numbers. Zbl 0593.10031Bombieri, E.; Mueller, J. 1 1986 Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri. Zbl 0572.10029Friedlander, John B.; Iwaniec, Henryk 46 1985 An introduction to minimal currents and parametric variational problems. Zbl 0875.49032Bombieri, E. 5 1985 On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author. Zbl 0549.14012Catanese, F. 56 1984 On Siegel’s lemma. Zbl 0533.10030Bombieri, E.; Vaaler, J. 117 1983 On effective measures of irrationality for \(\root r\of {a/b}\) and related numbers. Zbl 0516.10024Bombieri, Enrico; Mueller, Julia 16 1983 On Weil’s ”theoreme de decomposition”. Zbl 0516.12009Bombieri, Enrico 16 1983 On the Gehring link problem. Zbl 0529.53005Bombieri, Enrico; Simon, Leon 3 1983 Seminar on minimal submanifolds. Zbl 0521.00014 1 1983 Regularity theory for almost minimal currents. Zbl 0485.49024Bombieri, Enrico 54 1982 On the Thue-Siegel-Dyson theorem. Zbl 0505.10015Bombieri, Enrico 22 1982 On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018Bombieri, E.; Sperber, S. 4 1982 An introduction to minimal currents and parametric variational problems. Zbl 0529.49019Bombieri, Enrico 2 1982 On G-functions. Zbl 0461.10031Bombieri, E. 14 1981 On Poincaré’s isoperimetric problem for simple closed geodesics. Zbl 0469.58007Berger, M. S.; Bombieri, E. 5 1981 Thompson’s problem (\(\sigma^2=3\)) With two appendices. I: The numerical verification of Thompson’s identity by Andrew Odlyzko: II: A check of the Ree group conjecture for small fields by David Hunt. Zbl 0442.20016Bombieri, Enrico 19 1980 Recent progress in the theory of minimal surfaces. Zbl 0414.49032Bombieri, E. 6 1979 Recent progress in the theory of minimal surfaces. Zbl 0436.49031Bombieri, E. 3 1979 On exponential sums in finite fields. II. Zbl 0396.14001Bombieri, E. 31 1978 The tricanonical map of a surface with \(K^2=2\), \(P_g=0\). Zbl 0423.14003Bombieri, E.; Catanese, F. 2 1978 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021Bombieri, E.; Mumford, D. 47 1977 The asymptotic sieve. Zbl 0415.10040Bombieri, Enrico 2 1977 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010Bombieri, E.; Mumford, D. 76 1976 The asymptotic sieve. Zbl 0422.10042Bombieri, Enrico 4 1976 Hilbert’s 8th problem: An analogue. Zbl 0351.14009Bombieri, E. 1 1976 Corrigendum to my paper ’On twin almost primes’ and an addendum on Selberg’s sieve. Zbl 0319.10052Bombieri, E. 1 1976 Classification and embeddings of surfaces. Zbl 0326.14009Bombieri, Enrico; Husemoller, Dale H. 20 1975 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,099 Authors 38 Zannier, Umberto M. 35 Bombieri, Enrico 29 Shparlinski, Igor E. 20 Masser, David William 18 Iwaniec, Henryk 16 Ponnusamy, Saminathan 15 Fouvry, Etienne 14 Friedlander, John Benjamin 14 Motohashi, Yoichi 13 Bourgain, Jean 13 Chen, Meng 13 Corvaja, Pietro 13 Fukshansky, Lenny 13 Granville, Andrew James 13 Habegger, Philipp 13 Murty, Maruti Ram 13 Pila, Jonathan 13 Vaaler, Jeffrey D. 12 Catanese, Fabrizio M. E. 12 Ghioca, Dragos 12 Zaharescu, Alexandru 11 Akhtari, Shabnam 11 Levin, Aaron 11 Pintz, Janos 11 Schmidt, Wolfgang M. 11 Wei, Juncheng 10 Dubickas, Artūras 10 Omar, Sami 10 Ostafe, Alina 9 Binyamini, Gal 9 Bugeaud, Yann 9 Goldston, Daniel Alan 9 Mazhouda, Kamel 9 Simon, Leon Melvin 9 Smajlović, Lejla 9 Viada, Evelina 8 Amoroso, Francesco Antonio 8 Checcoli, Sara 8 Górny, Wojciech 8 Huxley, Martin N. 8 Lang, William E. 8 Liedtke, Christian 8 Nguyen, Khoa Dang 8 Odžak, Almasa 8 Rémond, Gaël 8 Reutenauer, Christophe 8 Waldschmidt, Michel 8 Wigman, Igor 7 Bilu, Yuri F. 7 Coffey, Mark William 7 Dobbs, David Earl 7 Erdélyi, Tamás 7 Evertse, Jan-Hendrik 7 Ivić, Aleksandar 7 Kátai, Imre 7 Kayumov, Il’giz Rifatovich 7 Lawson, Herbert Blaine jun. 7 Li, Xianjin 7 Ramaré, Olivier 7 Sarnak, Peter Clive 7 Schröer, Stefan 7 Tenenbaum, Gérald 7 Tucker, Thomas John 7 Widmer, Martin 6 Ballico, Edoardo 6 Beltrametti, Mauro C. 6 Chirskiĭ, Vladimir Grigor’evich 6 Cumino, Caterina 6 Del Pino, Manuel A. 6 Giusti, Enrico 6 Harvey, Reese 6 Heath-Brown, Roger 6 Lagarias, Jeffrey C. 6 Morgan, Frank 6 Mueller, Julia H. 6 Novaga, Matteo 6 Omari, Pierpaolo 6 Petsche, Clayton 6 Pottmeyer, Lukas 6 Sperber, Steven I. 6 Stewart, Cameron L. 5 Aliev, Iskander M. 5 Bell, Jason P. 5 Blomer, Valentin 5 Cabré, Xavier 5 Chang, Mei-Chu 5 Demailly, Jean-Pierre 5 Dill, Gabriel A. 5 Elliott, Peter D. T. A. 5 de Lima, Henrique F. 5 Fili, Paul A. 5 Fontana, Marco 5 Fuchs, Clemens 5 Gaudron, Éric 5 Greco, Silvio 5 Ingram, Patrick 5 Katsura, Toshiyuki 5 Kerr, Bryce 5 Kowalski, Emmanuel 5 Kühne, Lars ...and 1,999 more Authors all top 5 Cited in 323 Serials 139 Journal of Number Theory 85 Transactions of the American Mathematical Society 78 Inventiones Mathematicae 69 Mathematische Annalen 62 Compositio Mathematica 58 Mathematische Zeitschrift 53 Proceedings of the American Mathematical Society 46 Journal de Théorie des Nombres de Bordeaux 42 Duke Mathematical Journal 40 Manuscripta Mathematica 39 Advances in Mathematics 37 International Journal of Number Theory 34 Annales de l’Institut Fourier 34 Monatshefte für Mathematik 27 Acta Arithmetica 26 Journal of Mathematical Analysis and Applications 26 Journal of Algebra 26 Bulletin of the American Mathematical Society. New Series 26 Calculus of Variations and Partial Differential Equations 25 Annali della Scuola Normale Superiore di Pisa. 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English Series 7 Algebra & Number Theory 6 Communications on Pure and Applied Mathematics 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Expositiones Mathematicae 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Experimental Mathematics 6 Discrete and Continuous Dynamical Systems 6 Advances in Geometry 6 Computational Methods and Function Theory 6 Research in Number Theory 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Journal of Mathematical Physics 5 Canadian Mathematical Bulletin 5 Geometriae Dedicata 5 Publications Mathématiques 5 Mathematische Nachrichten 5 Advances in Applied Mathematics 5 Annals of Pure and Applied Logic 5 Annals of Global Analysis and Geometry ...and 223 more Serials all top 5 Cited in 58 Fields 1,262 Number theory (11-XX) 635 Algebraic geometry (14-XX) 223 Differential geometry (53-XX) 209 Partial differential equations (35-XX) 165 Calculus of variations and optimal control; optimization (49-XX) 135 Functions of a complex variable (30-XX) 110 Several complex variables and analytic spaces (32-XX) 107 Dynamical systems and ergodic theory (37-XX) 82 Global analysis, analysis on manifolds (58-XX) 67 Field theory and polynomials (12-XX) 52 Commutative algebra (13-XX) 48 Computer science (68-XX) 47 Real functions (26-XX) 46 Group theory and generalizations (20-XX) 43 Convex and discrete geometry (52-XX) 42 Mathematical logic and foundations (03-XX) 39 Functional analysis (46-XX) 36 Combinatorics (05-XX) 35 Probability theory and stochastic processes (60-XX) 33 Potential theory (31-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 29 Operator theory (47-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Measure and integration (28-XX) 19 Special functions (33-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 15 Quantum theory (81-XX) 15 Information and communication theory, circuits (94-XX) 14 History and biography (01-XX) 14 Approximations and expansions (41-XX) 13 Topological groups, Lie groups (22-XX) 13 Ordinary differential equations (34-XX) 11 Fluid mechanics (76-XX) 10 Geometry (51-XX) 10 Operations research, mathematical programming (90-XX) 9 Associative rings and algebras (16-XX) 9 Manifolds and cell complexes (57-XX) 6 Sequences, series, summability (40-XX) 5 Mechanics of deformable solids (74-XX) 4 \(K\)-theory (19-XX) 4 Difference and functional equations (39-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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