Edit Profile Bombieri, Enrico Compute Distance To: Compute Author ID: bombieri.enrico Published as: Bombieri, E.; Bombieri, Enrico Homepage: https://www.math.ias.edu/people/faculty/eb External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Awards: Fields Medal (1974) Documents Indexed: 179 Publications since 1957, including 9 Books Biographic References: 3 Publications all top 5 Co-Authors 96 single-authored 14 Zannier, Umberto M. 8 Mueller, Julia H. 7 Masser, David William 5 Iwaniec, Henryk 5 van der Poorten, Alfred J. 4 Bourgain, Jean 4 Davenport, Harold 4 Friedlander, John Benjamin 4 Giusti, Enrico 4 Perelli, Alberto 3 De Giorgi, Ennio 3 Sperber, Steven I. 3 Tretkoff, Paula 3 Vaaler, Jeffrey D. 2 Gubler, Walter Bruno 2 Hejhal, Dennis A. 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 Catanese, Fabrizio M. E. 1 Cenkl, Bohous 1 Chandrasekharan, Komaravolu 1 Enflo, Per H. 1 Garabedian, Paul Roesel 1 Ghosh, Amit 1 Goldfeld, Dorian Morris 1 Goldschmidt, Hubert Leopold 1 Granville, Andrew James 1 Griffiths, Phillip Augustus 1 Habegger, Philipp 1 Hirzebruch, Friedrich 1 Hunt, David C. 1 Husemoller, Dale H. 1 Katz, Nicholas Michael 1 Kohn, Joseph J. 1 Konyagin, Sergeĭ Vladimirovich 1 Lagarias, Jeffrey C. 1 Lang, Serge 1 Miranda, Manuel J. 1 Montgomery, Hugh Lowell 1 Nirenberg, Louis 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 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 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 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 Expositiones Mathematicae 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 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 Journal de Physique 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I all top 5 Fields 111 Number theory (11-XX) 37 Algebraic geometry (14-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 8 History and biography (01-XX) 8 Field theory and polynomials (12-XX) 6 General and overarching topics; collections (00-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 Several complex variables and analytic spaces (32-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 143 Publications have been cited 2,654 times in 2,175 Documents Cited by ▼ Year ▼ Heights in Diophantine geometry. Zbl 1115.11034Bombieri, Enrico; Gubler, Walter 221 2006 Minimal cones and the Bernstein problem. Zbl 0183.25901Bombieri, E.; De Giorgi, E.; Giusti, E. 197 1969 Canonical models of surfaces of general type. Zbl 0259.14005Bombieri, E. 149 1972 On Siegel’s lemma. Zbl 0533.10030Bombieri, E.; Vaaler, J. 111 1983 The number of integral points on arcs and ovals. Zbl 0718.11048Bombieri, E.; Pila, J. 96 1989 On the large sieve. Zbl 0136.33004Bombieri, E. 96 1965 On exponential sums in finite fields. Zbl 0171.41504Bombieri, E. 81 1966 Primes in arithmetic progressions to large moduli. Zbl 0588.10042Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 79 1986 Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche. Zbl 0184.32803Bombieri, E.; De Giorgi, E.; Miranda, M. 69 1969 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010Bombieri, E.; Mumford, D. 68 1976 Algebraic values of meromorphic maps. Zbl 0214.33702Bombieri, E. 54 1970 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079Bombieri, Enrico; Lagarias, Jeffrey C. 49 1999 Harnack’s inequality for elliptic differential equations on minimal surfaces. Zbl 0227.35021Bombieri, E.; Giusti, E. 48 1972 Regularity theory for almost minimal currents. Zbl 0485.49024Bombieri, Enrico 47 1982 On the order of \(\zeta(+it)\). Zbl 0615.10047Bombieri, E.; Iwaniec, H. 44 1986 Enriques’ classification of surfaces in char. \(p\). II. Zbl 0348.14021Bombieri, E.; Mumford, D. 44 1977 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. 39 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. 35 1990 The large sieve in analytic number theory. Zbl 0292.10035Bombieri, Enrico 33 1974 Small differences between prime numbers. Zbl 0151.04201Bombieri, E.; Davenport, Harold 33 1966 Primes in arithmetic progressions to large moduli. II. Zbl 0625.10036Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 32 1987 A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077Bombieri, Enrico; Zannier, Umberto 31 2001 On exponential sums in finite fields. II. Zbl 0396.14001Bombieri, E. 30 1978 On the local maximum property of the Koebe function. Zbl 0174.12301Bombieri, E. 30 1967 Which distributions of matter diffract? An initial investigation. Zbl 0693.52002Bombieri, E.; Taylor, Jean E. 29 1986 Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049Bombieri, E.; Masser, D.; Zannier, U. 28 2007 On the distribution of zeros of linear combinations of Euler products. Zbl 0853.11074Bombieri, E.; Hejhal, D. A. 28 1995 Primes in arithmetic progressions to large moduli. III. Zbl 0674.10036Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 26 1989 A remark on Bohr’s inequality. Zbl 1069.30001Bombieri, E.; Bourgain, J. 24 2004 On the Thue-Siegel-Dyson theorem. Zbl 0505.10015Bombieri, Enrico 22 1982 Classification and embeddings of surfaces. Zbl 0326.14009Bombieri, Enrico; Husemoller, Dale H. 22 1975 Algebraic points on subvarieties of \(\mathbb{G}_ m^ n\). Zbl 0848.11030Bombieri, E.; Zannier, U. 21 1995 The Mordell conjecture revisited. Zbl 0722.14010Bombieri, Enrico 21 1990 Local estimates for the gradient of non-parametric surfaces of prescribed mean curvature. Zbl 0266.53042Bombieri, E.; Giusti, E. 21 1973 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 20 1987 Quasicrystals, tilings, and algebraic number theory: some preliminary connections. Zbl 0617.43002Bombieri, Enrico; Taylor, Jean E. 20 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 Continued fractions and the Markoff tree. Zbl 1153.11030Bombieri, Enrico 18 2007 Some mean-value theorems for exponential sums. Zbl 0615.10046Bombieri, E.; Iwaniec, H. 18 1986 On unlikely intersections of complex varieties with tori. Zbl 1162.11031Bombieri, E.; Masser, D.; Zannier, U. 17 2008 Sopra un teorema di H. Bohr e G. Ricci sulle funzioni maggioranti delle serie di potenze. Zbl 0109.04801Bombieri, E. 17 1962 On effective measures of irrationality for \(\root r\of {a/b}\) and related numbers. Zbl 0516.10024Bombieri, Enrico; Mueller, Julia 16 1983 On the local zeta function of a cubic threefold. Zbl 0153.50501Bombieri, E.; Swinnerton-Dyer, H. P. F. 16 1967 On Weil’s ”theoreme de decomposition”. Zbl 0516.12009Bombieri, Enrico 15 1983 On G-functions. Zbl 0461.10031Bombieri, E. 15 1981 A problem on sums of two squares. Zbl 1364.11091Bombieri, Enrico; Bourgain, Jean 14 2015 Heights in Diophantine geometry. Paperback reprint of the 2006 original. Zbl 1130.11034Bombieri, Enrico; Gubler, Walter 13 2007 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 Squares in arithmetic progressions. Zbl 0771.11034Bombieri, Enrico; Granville, Andrew; Pintz, János 12 1992 Seminormalita e singolarita ordinarie. Zbl 0294.14015Bombieri, E. 12 1973 Analytic subgroups of group varieties. Zbl 0237.14015Bombieri, Enrico; Lang, Serge 12 1970 On the large sieve method. Zbl 0207.05702Bombieri, E.; Davenport, Harold 12 1968 Distinct zeros of \(L\)-functions. Zbl 0891.11044Bombieri, E.; Perelli, A. 11 1998 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. 10 1988 Polynomials with low height and prescribed vanishing. Zbl 0629.10024Bombieri, Enrico; Vaaler, Jeffrey D. 10 1987 The pluricanonical map of a complex surface. Zbl 0213.47601Bombieri, Enrico 10 1970 On Kahane’s ultraflat polynomials. Zbl 1170.42001Bombieri, Enrico; Bourgain, Jean 9 2009 Remarks on Weil’s quadratic functional in the theory of prime numbers. I. Zbl 1008.11034Bombieri, Enrico 9 2000 Counting points on curves over inite fields (d’apres S. A. Stepanov). Zbl 0307.14011Bombieri, Enrico 9 1974 Intersecting a plane with algebraic subgroups of multiplicative groups. Zbl 1150.11022Bombieri, Enrico; Masser, David; Zannier, Umberto 8 2008 Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D. 8 1996 Continued fractions of algebraic numbers. Zbl 0835.11025Bombieri, Enrico; van der Poorten, Alfred J. 8 1995 On the zeros of certain Epstein zeta functions. Zbl 1217.11040Bombieri, Enrico; Mueller, Julia 7 2008 The Riemann hypothesis. Zbl 1194.11001Bombieri, Enrico 7 2006 Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056Bombieri, E.; Masser, D. W.; Zannier, U. 7 2003 Sur les zéros des fonctions zêta d’Epstein. (On the zeros of Epstein zeta-functions). Zbl 0638.10043Bombieri, Enrico; Hejhal, Dennis A. 7 1987 A geometric approach to some coefficient inequalities for univalent functions. Zbl 0186.13201Bombieri, E. 7 1968 Sul teorema di Tschebotarev. (On a theorem of Chebotarev). Zbl 0123.04505Bombieri, E. 7 1963 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 The classical theory of zeta and \(L\)-functions. Zbl 1275.11117Bombieri, E. 6 2010 Intersecting curves and algebraic subgroups: conjectures and more results. Zbl 1161.11025Bombieri, E.; Masser, D.; Zannier, U. 6 2006 A note on squares in arithmetic progressions. II. Zbl 1072.11010Zannier, Umberto; Bombieri, Enrico 6 2002 Recent progress in the theory of minimal surfaces. Zbl 0414.49032Bombieri, E. 6 1979 On twin almost primes. Zbl 0319.10051Bombieri, Enrico 6 1975 A note on the large sieve. Zbl 0219.10055Bombieri, E. 6 1971 A note on Maurin’s theorem. Zbl 1209.11057Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto 5 2010 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 On Poincaré’s isoperimetric problem for simple closed geodesics. Zbl 0469.58007Berger, M. S.; Bombieri, E. 5 1981 The asymptotic sieve. Zbl 0422.10042Bombieri, Enrico 5 1976 Some inequalities involving trigonometrical polynomials. Zbl 0186.08201Bombieri, E.; Davenport, Harold 5 1969 Effective diophantine approximation on \(\mathbb{G}_M\). II. Zbl 0912.11028Bombieri, E.; Cohen, P. B. 4 1997 Dirichlet polynomial approximations to zeta functions. Zbl 0837.11051Bombieri, E.; Friedlander, J. B. 4 1995 On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018Bombieri, E.; Sperber, S. 4 1982 Sul problema di Bieberbach per le funzioni univalenti. Zbl 0151.09303Bombieri, E. 4 1963 A note on lower bounds for Frobenius traces. Zbl 1220.11078Bombieri, Enrico; Katz, Nicholas M. 3 2010 Siegel’s lemma, Padé approximations and Jacobians. With an appendix by Umberto Zannier. Zbl 1073.11518Bombieri, Enrico; Cohen, Paula B. 3 1997 Remarks on the analytic complexity of zeta functions. Zbl 1030.11041Bombieri, Enrico 3 1997 The generalized Fermat equation in function fields. Zbl 0739.11012Bombieri, E.; Mueller, J. 3 1991 On the Gehring link problem. Zbl 0529.53005Bombieri, Enrico; Simon, Leon 3 1983 Seminar on minimal submanifolds. Zbl 0521.00014Bombieri, Enrico (ed.) 3 1983 An introduction to minimal currents and parametric variational problems. Zbl 0529.49019Bombieri, Enrico 3 1982 Recent progress in the theory of minimal surfaces. Zbl 0436.49031Bombieri, E. 3 1979 Nuovi risultati sulle ipersuperfici minimali non parametriche. Zbl 0188.17601Bombieri, E. 3 1968 Sulla seconda variazione della funzione di Koebe. Zbl 0143.09904Bombieri, E. 3 1967 On exponential sums in finite fields. Zbl 0171.41503Bombieri, E. 3 1966 New progress on the zeta function: from old conjectures to a major breakthrough. Zbl 1431.11104Bombieri, Enrico 2 2019 A problem on sums of two squares. Zbl 1364.11091Bombieri, Enrico; Bourgain, Jean 14 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. 6 2010 A note on Maurin’s theorem. Zbl 1209.11057Bombieri, Enrico; Habegger, P.; Masser, D.; Zannier, Umberto 5 2010 A note on lower bounds for Frobenius traces. Zbl 1220.11078Bombieri, Enrico; Katz, Nicholas M. 3 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. 17 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 7 2008 Anomalous subvarieties – structure theorems and applications. Zbl 1145.11049Bombieri, E.; Masser, D.; Zannier, U. 28 2007 Continued fractions and the Markoff tree. Zbl 1153.11030Bombieri, Enrico 18 2007 Heights in Diophantine geometry. Paperback reprint of the 2006 original. Zbl 1130.11034Bombieri, Enrico; Gubler, Walter 13 2007 Heights in Diophantine geometry. Zbl 1115.11034Bombieri, Enrico; Gubler, Walter 221 2006 The Riemann hypothesis. Zbl 1194.11001Bombieri, Enrico 7 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. 24 2004 Finiteness results for multiplicatively dependent points on complex curves. Zbl 1048.11056Bombieri, E.; Masser, D. W.; Zannier, U. 7 2003 An elementary approach to effective Diophantine approximation on \(\mathbb{G}_m\). Zbl 1077.11054Bombieri, Enrico; Cohen, Paula B. 1 2003 A variational approach to the explicit formula. Zbl 1048.11070Bombieri, Enrico 1 2003 A note on squares in arithmetic progressions. II. Zbl 1072.11010Zannier, Umberto; Bombieri, Enrico 6 2002 A note on heights in certain infinite extensions of \(\mathbb Q\). Zbl 1072.11077Bombieri, Enrico; Zannier, Umberto 31 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 1 2001 Remarks on Weil’s quadratic functional in the theory of prime numbers. I. Zbl 1008.11034Bombieri, Enrico 9 2000 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079Bombieri, Enrico; Lagarias, Jeffrey C. 49 1999 Intersecting a curve with algebraic subgroups of multiplicative groups. Zbl 0938.11031Bombieri, E.; Masser, D.; Zannier, U. 39 1999 Distinct zeros of \(L\)-functions. Zbl 0891.11044Bombieri, E.; Perelli, A. 11 1998 Effective diophantine approximation on \(\mathbb{G}_M\). II. Zbl 0912.11028Bombieri, E.; Cohen, P. B. 4 1997 Siegel’s lemma, Padé approximations and Jacobians. With an appendix by Umberto Zannier. Zbl 1073.11518Bombieri, Enrico; Cohen, Paula B. 3 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. 28 1995 Algebraic points on subvarieties of \(\mathbb{G}_ m^ n\). Zbl 0848.11030Bombieri, E.; Zannier, U. 21 1995 Continued fractions of algebraic numbers. Zbl 0835.11025Bombieri, Enrico; van der Poorten, Alfred J. 8 1995 On the estimation of certain exponential sums. Zbl 0826.11040Bombieri, E.; Sperber, S. 5 1995 Dirichlet polynomial approximations to zeta functions. Zbl 0837.11051Bombieri, E.; Friedlander, J. B. 4 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 12 1992 Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Zbl 0772.00021Bombieri, E. (ed.); Perelli, A. (ed.); Salerno, S. (ed.); Zannier, U. (ed.) 2 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. 35 1990 The Mordell conjecture revisited. Zbl 0722.14010Bombieri, Enrico 21 1990 On Vinogradov’s mean value theorem and Weyl sums. Zbl 0734.11043Bombieri, E. 1 1990 Correction to my paper “On the analogue of Selberg’s formula in function fields”. Zbl 0714.11060Bombieri, Enrico 1 1990 Some quantitative results related to Roth’s theorem: Corrigenda. Zbl 0697.10028Bombieri, E.; van der Poorten, A. J. 1 1990 The number of integral points on arcs and ovals. Zbl 0718.11048Bombieri, E.; Pila, J. 96 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 0661.00005Aubert, Karl Egil (ed.); Bombieri, Enrico (ed.); Goldfeld, Dorian (ed.) 1 1989 Some quantitative results related to Roth’s theorem. Zbl 0664.10017Bombieri, E.; van der Poorten, A. J. 10 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. 32 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 20 1987 Quasicrystals, tilings, and algebraic number theory: some preliminary connections. Zbl 0617.43002Bombieri, Enrico; Taylor, Jean E. 20 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. 7 1987 On the Thue-Mahler equation. Zbl 0646.10009Bombieri, E. 1 1987 Lectures on the Thue principle. Zbl 0629.10025Bombieri, Enrico 1 1987 Primes in arithmetic progressions to large moduli. Zbl 0588.10042Bombieri, E.; Friedlander, J. B.; Iwaniec, H. 79 1986 On the order of \(\zeta(+it)\). Zbl 0615.10047Bombieri, E.; Iwaniec, H. 44 1986 Which distributions of matter diffract? An initial investigation. Zbl 0693.52002Bombieri, E.; Taylor, Jean E. 29 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 An introduction to minimal currents and parametric variational problems. Zbl 0875.49032Bombieri, E. 5 1985 On Siegel’s lemma. Zbl 0533.10030Bombieri, E.; Vaaler, J. 111 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 15 1983 On the Gehring link problem. Zbl 0529.53005Bombieri, Enrico; Simon, Leon 3 1983 Seminar on minimal submanifolds. Zbl 0521.00014Bombieri, Enrico (ed.) 3 1983 Regularity theory for almost minimal currents. Zbl 0485.49024Bombieri, Enrico 47 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 3 1982 On G-functions. Zbl 0461.10031Bombieri, E. 15 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. 30 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. 44 1977 The asymptotic sieve. Zbl 0415.10040Bombieri, Enrico 2 1977 Enriques’ classification of surfaces in char p. III. Zbl 0336.14010Bombieri, E.; Mumford, D. 68 1976 The asymptotic sieve. Zbl 0422.10042Bombieri, Enrico 5 1976 Hilbert’s 8th problem: An analogue. Zbl 0351.14009Bombieri, E. 1 1976 Variational problems and elliptic equations. Zbl 0347.35032Bombieri, Enrico 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. 22 1975 On twin almost primes. Zbl 0319.10051Bombieri, Enrico 6 1975 Variational problems and elliptic equations. Zbl 0344.49002Bombieri, Enrico 1 1975 Canonical models of surfaces. Zbl 0339.14026Bombieri, Enrico 1 1975 The large sieve in analytic number theory. Zbl 0292.10035Bombieri, Enrico 33 1974 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,983 Authors 35 Bombieri, Enrico 34 Zannier, Umberto M. 27 Shparlinski, Igor E. 19 Masser, David William 17 Iwaniec, Henryk 14 Fouvry, Etienne 14 Motohashi, Yoichi 13 Bourgain, Jean 13 Chen, Meng 13 Friedlander, John Benjamin 13 Fukshansky, Lenny 13 Granville, Andrew James 13 Habegger, Philipp 13 Murty, Maruti Ram 12 Catanese, Fabrizio M. E. 12 Ghioca, Dragos 12 Pila, Jonathan 12 Ponnusamy, Saminathan 12 Vaaler, Jeffrey D. 12 Zaharescu, Alexandru 11 Corvaja, Pietro 11 Pintz, Janos 11 Schmidt, Wolfgang M. 11 Wei, Juncheng 10 Akhtari, Shabnam 10 Dubickas, Artūras 10 Levin, Aaron 10 Omar, Sami 9 Nguyen, Khoa Dang 9 Simon, Leon Melvin 9 Viada, Evelina 8 Bugeaud, Yann 8 Checcoli, Sara 8 Goldston, Daniel Alan 8 Huxley, Martin N. 8 Lang, William E. 8 Liedtke, Christian 8 Mazhouda, Kamel 8 Odžak, Almasa 8 Ostafe, Alina 8 Rémond, Gaël 8 Smajlović, Lejla 8 Waldschmidt, Michel 7 Amoroso, Francesco 7 Bilu, Yuri F. 7 Binyamini, Gal 7 Coffey, Mark William 7 Dobbs, David Earl 7 Erdélyi, Tamás 7 Evertse, Jan-Hendrik 7 Ivić, Aleksandar P. 7 Kátai, Imre 7 Lawson, Herbert Blaine jun. 7 Li, Xianjin 7 Sarnak, Peter Clive 7 Tucker, Thomas John 7 Widmer, Martin 7 Wigman, Igor 6 Ballico, Edoardo 6 Beltrametti, Mauro C. 6 Cumino, Caterina 6 Del Pino, Manuel A. 6 Giusti, Enrico 6 Harvey, Reese 6 Kayumov, Il’giz Rifatovich 6 Lagarias, Jeffrey C. 6 Morgan, Frank 6 Mueller, Julia H. 6 Petsche, Clayton 6 Ramaré, Olivier 6 Reutenauer, Christophe 6 Sperber, Steven I. 6 Stewart, Cameron L. 6 Tenenbaum, Gérald 5 Aliev, Iskander M. 5 Cabré, Xavier 5 Chang, Mei-Chu 5 Chirskiĭ, Vladimir Grigor’evich 5 Demailly, Jean-Pierre 5 Elliott, Peter D. T. A. 5 Fili, Paul A. 5 Fontana, Marco 5 Fuchs, Clemens 5 Górny, Wojciech 5 Greco, Silvio 5 Heath-Brown, Roger 5 Katsura, Toshiyuki 5 Kowalski, Emmanuel 5 Lahti, Panu 5 Lang, Serge 5 Lanteri, Antonio 5 López-Gómez, Julián 5 Manaresi, Mirella 5 Michel, Philippe Gabriel 5 Novaga, Matteo 5 Oliverio, Paolo Antonio 5 Omari, Pierpaolo 5 Pederson, Roger N. 5 Perelli, Alberto 5 Pignatelli, Roberto ...and 1,883 more Authors all top 5 Cited in 302 Serials 137 Journal of Number Theory 78 Transactions of the American Mathematical Society 77 Inventiones Mathematicae 66 Mathematische Annalen 61 Compositio Mathematica 54 Mathematische Zeitschrift 51 Proceedings of the American Mathematical Society 45 Journal de Théorie des Nombres de Bordeaux 40 Duke Mathematical Journal 37 Advances in Mathematics 37 Manuscripta Mathematica 34 Annales de l’Institut Fourier 34 International Journal of Number Theory 33 Monatshefte für Mathematik 26 Journal of Algebra 26 Bulletin of the American Mathematical Society. New Series 25 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 25 Mathematika 24 Calculus of Variations and Partial Differential Equations 23 Journal of Mathematical Analysis and Applications 23 Mathematical Notes 23 Acta Arithmetica 23 Acta Mathematica 22 Archive for Rational Mechanics and Analysis 22 Annals of Mathematics. Second Series 21 Archiv der Mathematik 21 Journal of Pure and Applied Algebra 20 Journal für die Reine und Angewandte Mathematik 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Mathematics of Computation 18 Functiones et Approximatio. Commentarii Mathematici 17 Israel Journal of Mathematics 17 Journal of Soviet Mathematics 17 Rendiconti del Seminario Matematico della Università di Padova 17 Finite Fields and their Applications 16 Journal d’Analyse Mathématique 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Theoretical Computer Science 14 Rocky Mountain Journal of Mathematics 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Journal of the American Mathematical Society 14 Communications in Partial Differential Equations 13 Indagationes Mathematicae. New Series 13 Bulletin of the American Mathematical Society 13 Science China. Mathematics 12 Bulletin de la Société Mathématique de France 12 Proceedings of the Japan Academy. Series A 12 The Journal of Geometric Analysis 11 Lithuanian Mathematical Journal 11 Journal of Differential Equations 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 10 Communications in Algebra 10 Forum Mathematicum 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Geometry and Physics 9 Journal of Functional Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Tohoku Mathematical Journal. Second Series 9 Journal of Algebraic Geometry 9 The Ramanujan Journal 9 Proceedings of the Japan Academy 8 Journal of Computational and Applied Mathematics 8 Michigan Mathematical Journal 8 Nagoya Mathematical Journal 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Geometric and Functional Analysis. GAFA 8 Journal of the European Mathematical Society (JEMS) 7 Bulletin of the Australian Mathematical Society 7 Communications in Mathematical Physics 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Revista Matemática Iberoamericana 7 Expositiones Mathematicae 7 Journal of Mathematical Sciences (New York) 7 Selecta Mathematica. New Series 7 Acta Mathematica Sinica. English Series 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Proceedings of the Steklov Institute of Mathematics 7 Algebra & Number Theory 6 Communications on Pure and Applied Mathematics 6 Acta Mathematica Hungarica 6 International Journal of Mathematics 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Experimental Mathematics 6 Advances in Geometry 6 Forum of Mathematics, Sigma 6 European Journal of Mathematics 6 Research in Number Theory 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Journal of Mathematical Physics 5 Geometriae Dedicata 5 Publications Mathématiques 5 Mathematische Nachrichten 5 Annals of Global Analysis and Geometry 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Computational Methods and Function Theory 5 Milan Journal of Mathematics 5 Research in the Mathematical Sciences 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Statistical Physics ...and 202 more Serials all top 5 Cited in 57 Fields 1,158 Number theory (11-XX) 592 Algebraic geometry (14-XX) 204 Differential geometry (53-XX) 187 Partial differential equations (35-XX) 158 Calculus of variations and optimal control; optimization (49-XX) 112 Functions of a complex variable (30-XX) 108 Several complex variables and analytic spaces (32-XX) 103 Dynamical systems and ergodic theory (37-XX) 77 Global analysis, analysis on manifolds (58-XX) 64 Field theory and polynomials (12-XX) 50 Commutative algebra (13-XX) 45 Group theory and generalizations (20-XX) 44 Computer science (68-XX) 43 Real functions (26-XX) 43 Convex and discrete geometry (52-XX) 35 Combinatorics (05-XX) 35 Functional analysis (46-XX) 34 Mathematical logic and foundations (03-XX) 31 Potential theory (31-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 27 Operator theory (47-XX) 27 Probability theory and stochastic processes (60-XX) 19 Measure and integration (28-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Special functions (33-XX) 17 Numerical analysis (65-XX) 15 Approximations and expansions (41-XX) 15 Information and communication theory, circuits (94-XX) 13 Topological groups, Lie groups (22-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 History and biography (01-XX) 12 Ordinary differential equations (34-XX) 12 Quantum theory (81-XX) 10 Manifolds and cell complexes (57-XX) 10 Fluid mechanics (76-XX) 10 Operations research, mathematical programming (90-XX) 8 Associative rings and algebras (16-XX) 8 Geometry (51-XX) 6 Sequences, series, summability (40-XX) 5 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Abstract harmonic analysis (43-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 \(K\)-theory (19-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Statistics (62-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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