Enrico Bombieri

Enrico Bombieri is an Italian mathematician known for his work in analytic number theory, algebraic geometry, and mathematical analysis. He received the Fields Medal in 1974, in large part for his research on the distribution of prime numbers. One of his well-known results is the Bombieri–Vinogradov theorem, a significant advance in understanding how primes are distributed among arithmetic progressions. Bombieri has also contributed to topics such as univalent functions and the geometry of minimal surfaces and has served on the faculty of the Institute for Advanced Study in Princeton.

All published works

Action	Title	Year	Authors
+	Designed Pseudo-Laplacians	2020	Enrico Bombieri Paul Garrett
+ PDF	New progress on the zeta function: From old conjectures to a major breakthrough	2019	Enrico Bombieri
+	Some corrections to an old paper	2019	Enrico Bombieri John Friedlander Henryk Iwaniec
+ PDF	Solution of the Ree group problem. A lecture at Rutgers University in 1979	2017	Enrico Bombieri
+	The Mathematical Truth1	2015	Enrico Bombieri
+ PDF	A Problem on Sums of Two Squares	2014	Enrico Bombieri Jean Bourgain
+	Around the Davenport-Heilbronn function	2011	Enrico Bombieri Amit Ghosh
+	The Mathematical Infinity	2011	Enrico Bombieri
+ PDF	Вокруг функции Дэвенпорта - Хейльбронна	2011	Энрико Бомбьери Enrico Bombieri Амит Гош Amit Ghosh
+ PDF	A Note on lower bounds for Frobenius traces	2010	Enrico Bombieri Nicholas M. Katz
+ PDF	A Note on Maurin’s Theorem	2010	Enrico Bombieri Philipp Habegger David Masser Umberto Zannier
+	The Classical Theory of Zeta and L-Functions	2010	Enrico Bombieri
+	Methods of Algebraic Geometry in Char, P and Their Applications	2010	Enrico Bombieri
+	Geometric measure theory and minimal surfaces : lectures given at the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 25-September 2, 1972	2010	Enrico Bombieri
+	Geometric measure theory and minimal surfaces : lectures given at a summer school of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 24-September 2, 1972	2010	Enrico Bombieri
+ PDF	On Kahane's ultraflat polynomials	2009	Enrico Bombieri Jean Bourgain
+ PDF	Intersecting a plane with algebraic subgroups of multiplicative groups	2009	Enrico Bombieri David Masser Umberto Zannier
+ PDF	Problems and results on the distribution of algebraic points on algebraic varieties	2009	Enrico Bombieri
+	Roots of Polynomials in Subgroups of and Applications to Congruences	2008	Enrico Bombieri Jean Bourgain Sergeĭ Konyagin
+	On the zeros of certain Epstein zeta functions	2008	Enrico Bombieri Julia Mueller
+ PDF	On unlikely intersections of complex varieties with tori	2008	Enrico Bombieri David Masser Umberto Zannier
+	Anomalous Subvarieties—Structure Theorems and Applications	2007	Enrico Bombieri David Masser Umberto Zannier
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler
+	A lower bound for the zeros of riemann’s zeta function on the critical line	2006	Enrico Bombieri
+	Régularité des hypersurfaces minimales	2006	Enrico Bombieri
+	Continued fractions and the Markoff tree	2006	Enrico Bombieri
+ PDF	Intersecting curves and algebraic subgroups: Conjectures and more results	2005	Enrico Bombieri David Masser Umberto Zannier
+	The Rosetta Stone of L-functions	2005	Enrico Bombieri
+	On the number of rational points on certain elliptic curves	2004	Enrico Bombieri Umberto Zannier
+	Armand Borel: 1923-2003	2004	James Arthur Enrico Bombieri K. Chandrasekharan Friedrich Hirzebruch Gopal Prasad Jean-Pierre Serre T. A. Springer Jacques Tits
+	Effective Diophantine approximation on G<sub> <i>m</i> </sub>	2004	Enrico Bombieri Paula B. Cohen
+ PDF	О числе рациональных точек на некоторых эллиптических кривых	2004	Энрико Бомбьери Enrico Bombieri У Заннье Umberto Zannier
+	None	2004	Enrico Bombieri Jean Bourgain
+	Enriques’ Classification of Surfaces in Char. p, II	2004	Enrico Bombieri D. Mumford
+ PDF	Finiteness results for multiplicatively dependent points on complex curves	2003	Enrico Bombieri David Masser Umberto Zannier
+	A variational approach to the explicit formula	2003	Enrico Bombieri
+	Sastry automorphisms	2002	Enrico Bombieri
+	Forty Years of Effective Results in Diophantine Theory	2002	Enrico Bombieri
+	A Panorama of Number Theory <i>or</i> The View from Baker's Garden	2002	Gisbert Wüstholz Gisbert Wüstholz Gisbert Wüstholz Kunrui Yu Sinnou David Kálmán Győry Yuri Bilu Paula B. Cohen Jürgen Wolfart Peter Sarnak
+	A Note on squares in arithmetic progressions, II	2002	Enrico Bombieri Umberto Zannier
+	Heights	2001	Enrico Bombieri Walter Gubler
+	Algebraic geometry	2001	Enrico Bombieri Walter Gubler
+	Linear tori	2001	Enrico Bombieri Walter Gubler
+	The Vojta conjectures	2001	Enrico Bombieri Walter Gubler
+	Weil heights	2001	Enrico Bombieri Walter Gubler
+ PDF	Equations in one variable over function fields	2001	Enrico Bombieri Julia Mueller Umberto Zannier
+	Roth's theorem	2001	Enrico Bombieri Walter Gubler
+	The <i>abc</i>-conjecture	2001	Enrico Bombieri Walter Gubler
+	The Mordell–Weil theorem	2001	Enrico Bombieri Walter Gubler
+	Geometry of numbers	2001	Enrico Bombieri Walter Gubler
+	A Note on heights in certain infinite extensions of $\mathbb{Q}$	2001	Enrico Bombieri Umberto Zannier
+	La matematica nella società di oggi	2001	Enrico Bombieri
+	Zeros and poles of Dirichlet series	2001	Enrico Bombieri Alberto Perelli
+	Heights in Diophantine Geometry	2001	Enrico Bombieri Walter Gubler
+	Preface	2001	Enrico Bombieri Walter Gubler
+	Remarks on Weil’s quadratic functional in the theory of prime numbers, I	2000	Enrico Bombieri
+	Diophantine Equations in Low Dimensions	2000	Enrico Bombieri
+	Complements to Li's Criterion for the Riemann Hypothesis	1999	Enrico Bombieri Jeffrey C. Lagarias
+	None	1999	Enrico Bombieri David Masser Umberto Zannier
+	On a conjecture of Siegel	1998	Enrico Bombieri Julia Mueller
+ PDF	Distinct zeros of L-functions	1998	Enrico Bombieri Alberto Perelli
+	Remarks on the Analytic Complexity of Zeta Functions	1997	Enrico Bombieri
+	Normal Distribution of Zeta Functions and Applications	1997	Enrico Bombieri Alberto Perelli
+	Subvarieties of Linear Tori and the Unit Equation A Survey	1997	Enrico Bombieri
+	Analytic Number Theory	1997	Yoichi Motohashi Yoichi Motohashi Enrico Bombieri Enrico Bombieri Enrico Bombieri Jörg Brüdern Jan‐Hendrik Evertse John Friedlander Andrew Granville Adolf Hildebrand
+ PDF	The unit equation and the cluster principle	1997	Enrico Bombieri Julia Mueller Milja Poe
+	Siegel's lemma, Padé approximations and jacobians	1997	Enrico Bombieri Paula B. Cohen
+	Effective measures of irrationality for cubic extensions of number fields	1996	Enrico Bombieri A. J. van der Poorten Jeffrey D. Vaaler
+	Heights of algebraic points on subvarieties of abelian varieties	1996	Enrico Bombieri Umberto Zannier
+	On the distribution of zeros of linear combinations of Euler products	1995	Enrico Bombieri Dennis A. Hejhal
+ PDF	On the estimation of certain exponential sums	1995	Enrico Bombieri Steven Sperber
+	Continued Fractions of Algebraic Numbers	1995	Enrico Bombieri Alfred J. van der Poorten
+	None	1995	Enrico Bombieri Umberto Zannier
+ PDF	Determinants in the Study of Thue's Method and Curves with Prescribed Singularities	1995	Enrico Bombieri David C. Hunt Alfred J. van der Poorten
+	Dirichlet polynomial approximations to zeta functions	1995	Enrico Bombieri John Friedlander
+ PDF	On the Thue-Mahler equation II	1994	Enrico Bombieri
+	Effective diophantine approximation on $\mathbb {G}_M$ , II	1993	Enrico Bombieri P. B. Cohen
+	PRIME TERRITORY	1992	Enrico Bombieri
+	Squares in arithmetic progressions	1992	Enrico Bombieri Andrew Granville J. Pintz
+	Proceedings of the Amalfi conference on analytic number theory, Septmber 25-29, 1989	1992	Enrico Bombieri
+	The generalized fermat equation in function fields	1991	Enrico Bombieri Julia Mueller
+	Products of polynomials in many variables	1990	Bernard Beauzamy Enrico Bombieri Per Enflo Hugh L. Montgomery
+ PDF	Some quantitative results related to Roth's theorem: Corrigenda	1990	Enrico Bombieri A. J. van der Poorten
+	The Mordell conjecture revisited	1990	Enrico Bombieri
+	Correction to my paper «Sull'analogo della formula di Selberg nei corpi di funzioni»	1990	Enrico Bombieri
+	The number of integral points on arcs and ovals	1989	Enrico Bombieri Jonathan Pila
+ PDF	Correction to on Thue's equation	1989	Enrico Bombieri Wolfgang M. Schmidt
+	Number Theory, Trace Formulas, and Discrete Groups: Symposium in Honor of Atle Selberg, Oslo, Norway, July 14-21, 1987	1989	Atle Selberg Karl Egil Aubert Enrico Bombieri Dorian Goldfeld
+ PDF	Primes in arithmetic progressions to large moduli. III	1989	Enrico Bombieri John Friedlander Henryk Iwaniec
+ PDF	Some quantitative results related to Roth's Theorem	1988	Enrico Bombieri A. J. van der Poorten
+	Primes in arithmetic progressions to large Moduli. II	1987	Enrico Bombieri John Friedlander Henryk Iwaniec
+	On Thue's equation	1987	Enrico Bombieri Wolfgang M. Schmidt
+	On the thue-mahler equation	1987	Enrico Bombieri
+	Lectures on the Thue Principle	1987	Enrico Bombieri
+	Quasicrystals, tilings, and algebraic number theory: some preliminary connections	1987	Enrico Bombieri Jean E. Taylor
+	Polynomials with Low Height and Prescribed Vanishing	1987	Enrico Bombieri Jeffrey D. Vaaler
+ PDF	WHICH DISTRIBUTIONS OF MATTER DIFFRACT ? AN INITIAL INVESTIGATION	1986	Enrico Bombieri John E. Taylor
+ PDF	Primes in arithmetic progressions to large moduli	1986	Enrico Bombieri John Friedlander Henryk Iwaniec
+	Some mean-value theorems for exponential sums	1986	Enrico Bombieri Henryk Iwaniec
+	On the order of $\zeta (\frac{1}{2} + it)$	1986	Enrico Bombieri Henryk Iwaniec
+	Appendix: On Some Exponential Sums	1985	B. J. Birch Enrico Bombieri
+	An introduction to minimal currents and parametric variational problems	1985	Enrico Bombieri
+	ON THE GEHRING LINK PROBLEM	1984	Enrico Bombieri Leon Simon
+ PDF	Addendum to ?On Siegel's lemma?	1984	Enrico Bombieri Jeffrey D. Vaaler
+	On Siegel's lemma	1983	Enrico Bombieri Jeffrey D. Vaaler
+	Seminar on minimal submanifolds	1983	Enrico Bombieri
+ PDF	On the $p$-adic analyticity of solutions of linear differential equations	1982	Enrico Bombieri Steven Sperber
+ PDF	On the Thue-Siegel-Dyson theorem	1982	Enrico Bombieri
+	Regularity theory for almost minimal currents	1982	Enrico Bombieri
+	On Poincaré's isoperimetric problem for simple closed geodesics	1981	Melvyn S. Berger Enrico Bombieri
+	Thompson's problem (?2=3)	1980	Enrico Bombieri
+	On exponential sums in finite fields, II	1978	Enrico Bombieri
+	Enriques' Classification of Surfaces in Char. <i>p</i>, II	1977	Enrico Bombieri D. Mumford
+ PDF	Enriques' classification of surfaces in char.p, III	1976	Enrico Bombieri D. Mumford
+	Enriques’ Classification of Surfaces in Char. p,III	1976	Enrico Bombieri D. Mumford
+	Variational problems and elliptic equations (Hilbert’s problem 20)	1976	Enrico Bombieri
+ PDF	Corrigendum to my paper "On twin almost primes" and an addendum on Selberg's sieve	1976	Enrico Bombieri
+ PDF	On twin almost primes	1975	Enrico Bombieri
+	Le grand crible dans la théorie analytique des nombres	1974	Enrico Bombieri
+	Local estimates for the gradient of non‐parametric surfaces of prescribed mean curvature	1973	Enrico Bombieri Enrico Giusti
+ PDF	Canonical models of surfaces of general type	1973	Enrico Bombieri
+	Simultaneous approximations of algebraic numbers [following W. M. Schmidt]	1973	Enrico Bombieri
+	Geometric measure theory and minimal surfaces : III ciclo 1972, Varenna, 24 agosto-2 settembre	1973	Centro internazionale matematico estivo Enrico Bombieri
+	Harnack's inequality for elliptic differential equations on minimal surfaces	1972	Enrico Bombieri Enrico Giusti
+	Fibrations in etale homotopy theory . Dimension projective finie et cohomologie locale . An index theorem for systems of difference operators on a half space . On the structure of non-excellent curve singularities in characteristic p . Canonical models of surfaces of general type	1972	Eric M. Friedlander Christian Peskine Lucien Szpiro David G. Schaeffer Bruce M. Bennett Enrico Bombieri
+ PDF	A note on the large sieve	1971	Enrico Bombieri
+	Density theorems for the zeta function	1971	Enrico Bombieri
+	Algebraic values of meromorphic maps	1970	Enrico Bombieri
+	Addendum to my paper ?Algebraic values of meromorphic maps?	1970	Enrico Bombieri
+	Analytic subgroups of group varieties	1970	Enrico Bombieri Serge Lang
+	MULTIPLICATIVE NUMBER THEORY	1970	Enrico Bombieri
+	Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions	1970	Enrico Bombieri
+	On the Large Sieve Method	1969	Enrico Bombieri H. Davenport
+	Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche	1969	Enrico Bombieri Ennio De Giorgi Michele Miranda
+	Some inequalities involving trigonometrical polynomials	1969	Enrico Bombieri H. Davenport
+	Nuovi risultati sulle ipersuperfici minimali non parametriche	1968	Enrico Bombieri
+	A geometric approach to some coefficient inequalities for univalent functions	1968	Enrico Bombieri
+	On the local maximum property of the Koebe function	1967	Enrico Bombieri
+	On the local zeta function of a cubic threefold	1967	Enrico Bombieri H. P. F. Swinnerton-Dyer
+ PDF	Small differences between prime numbers	1966	Enrico Bombieri H. Davenport
+	On Two Problems of Mordell	1966	Enrico Bombieri H. Davenport
+	On Exponential Sums in Finite Fields	1966	Enrico Bombieri
+	On the large sieve	1965	Enrico Bombieri
+	On Functions which are Regular and Univalent in a Half-Plane	1965	Enrico Bombieri
+	Sulla dimostrazione di C. L. Siegel del teorema fondamentale di Minkowski nella geometria dei numeri.	1962	Enrico Bombieri
+	Sopra un teorema di H. Bohr e G. Ricci sulle funzioni maggioranti delle serie di potenze.	1962	Enrico Bombieri
+	Un collegamento tra un teorema di K. Prachar e un teorema di G. Ricci sulle differenze di numeri primi consecutivi.	1960	Enrico Bombieri

Common Coauthors

Coauthor	Papers Together
Umberto Zannier	14
Walter Gubler	12
David Masser	8
Henryk Iwaniec	6
John Friedlander	6
Julia Mueller	5
Jeffrey D. Vaaler	4
D. Mumford	4
H. Davenport	4
Jean Bourgain	3
Paula B. Cohen	3
Alberto Perelli	3
A. J. van der Poorten	3
Enrico Giusti	2
Peter Sarnak	2
Andrew Granville	2
Amit Ghosh	2
Steven Sperber	2
Jan‐Hendrik Evertse	2
Alfred J. van der Poorten	2
Энрико Бомбьери	2
T. N. Shorey	2
Per Enflo	1
Adolf Hildebrand	1
Philipp Habegger	1
Dorian Goldfeld	1
Wolfgang M. Schmidt	1
V. Kumar Murty	1
Friedrich Hirzebruch	1
Michele Miranda	1
Jürgen Wolfart	1
Jonathan Pila	1
Kunrui Yu	1
Jörg Brüdern	1
Герд Фалтингс	1
Centro internazionale matematico estivo	1
Paul Garrett	1
Christian Peskine	1
Serge Lang	1
Karl Egil Aubert	1
Milja Poe	1
Trevor D. Wooley	1
H. P. F. Swinnerton-Dyer	1
Gisbert Wüstholz	1
Matti Jutila	1
Victor Beresnevich	1
Hiroshi Mikawa	1
Bruce M. Bennett	1
Nicholas M. Katz	1
Eiji Yoshida	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometric Measure Theory	1988	Herbert Fédérer	6
+ PDF	On the Thue-Siegel-Dyson theorem	1982	Enrico Bombieri	6
+	On the distribution of zeros of linear combinations of Euler products	1995	Enrico Bombieri Dennis A. Hejhal	5
+	On Siegel's lemma	1983	Enrico Bombieri Jeffrey D. Vaaler	5
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	5
+ PDF	Intersecting curves and algebraic subgroups: Conjectures and more results	2005	Enrico Bombieri David Masser Umberto Zannier	4
+	A relative Dobrowolski lower bound over abelian extensions	2000	Francesco Amoroso Umberto Zannier	4
+	Geometric Measure Theory	1996	Herbert Fédérer	4
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	4
+ PDF	Finiteness results for multiplicatively dependent points on complex curves	2003	Enrico Bombieri David Masser Umberto Zannier	4
+	La conjecture de Weil. I	1974	Pierre Deligne	4
+	Vanishing sums in function fields	1986	W. Dale Brownawell David Masser	4
+	On the large sieve	1965	Enrico Bombieri	4
+	Le problème de Lehmer en dimension supérieure	1999	Francesco Amoroso S. David	4
+	None	1999	Enrico Bombieri David Masser Umberto Zannier	4
+	EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE	2002	Boris Zilber	4
+	On the Zeros of Certain Dirichlet Series	1936	H. Davenport H. Heilbronn	4
+	Über einige Anwendungen diophantischer Approximationen	2014	Carl Ludwig Siegel	4
+	On the zeros of Riemann's zeta-function	1943	Atle Selberg	3
+	Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche	1969	Enrico Bombieri Ennio De Giorgi Michele Miranda	3
+ PDF	Intersecting a plane with algebraic subgroups of multiplicative groups	2009	Enrico Bombieri David Masser Umberto Zannier	3
+	On exponential sums and certain of their applications	1982	C. Hooley	3
+	Primes in arithmetic progressions to large Moduli. II	1987	Enrico Bombieri John Friedlander Henryk Iwaniec	3
+	Dyson's Lemma for polynomials in several variables (and the Theorem of roth)	1984	H�l�ne Esnault Eckart Viehweg	3
+ PDF	On the representation of integers by binary forms	1961	D. J. Lewis Kurt Mahler	3
+ PDF	On Hermitian Forms attached to Zeta Functions	2018	Hiroyuki Yoshida	3
+ PDF	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	3
+	None	1995	Enrico Bombieri Umberto Zannier	3
+	On the Zeros of Certain Dirichlet Series	1936	H. Davenport H. Heilbronn	3
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler	3
+	Anomalous Subvarieties—Structure Theorems and Applications	2007	Enrico Bombieri David Masser Umberto Zannier	3
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	3
+ PDF	Random Matrix Theory and ζ(1/2+ it)	2000	Jonathan P. Keating N. C. Snaith	3
+	Th�or�me de Brun-Titchmarsh; application au th�or�me de Fermat	1985	�tienne Fouvry	3
+	On Exponential Sums in Finite Fields	1966	Enrico Bombieri	3
+	Logarithmic forms and group varieties.	1993	A. Baker Gisbert Wüstholz	3
+	Footnote To a Note of Davenport and Heilbronn	1961	J. W. S. Cassels	3
+	ON THE ZEROS OF SOME DIRICHLET SERIES LYING ON THE CRITICAL LINE	1981	Сергей Воронин	3
+	On the zeros of certain Epstein zeta functions	2008	Enrico Bombieri Julia Mueller	3
+ PDF	On a question of Lehmer and the number of irreducible factors of a polynomial	1979	Edward Dobrowolski	3
+ PDF	Genus change in inseparable extensions of function fields	1952	John Tate	3
+	Polynomials with Special Regard to Reducibility	2000	Andrzej Schinzel	3
+ PDF	On the switching principle in sieve theory.	1986	Étienne Fouvry Frieder Grupp	3
+	Incomplete Kloosterman Sums and a Divisor Problem	1985	John Friedlander Henryk Iwaniec	3
+ PDF	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	3
+	On Bombieri's asymptotic sieve	1978	John Friedlander Henryk Iwaniec	3
+ PDF	Primes in arithmetic progressions to large moduli	1986	Enrico Bombieri John Friedlander Henryk Iwaniec	3
+	Sul minimo dell'integrale del gradiente di una funzione	1965	Mario Miranda	3
+	An Introduction to the Geometry of Numbers	1959	J. W. S. Cassels	2
+	Mean Value Theorems in Prime Number Theory	1975	R. C. Vaughan	2