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# Documents  11D41 | enregistrements trouvés : 27

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## Modular forms and Fermat"s last theorempapers from the instructional conference on number theory and arithmetic geometry held at Boston University Aug. 9-18 Cornell, Gary ; Silverman, Joseph H. ; Stevens, Glenn | Springer 1997

Congrès

ISBN 978-0-387-94609-2

Localisation : Colloque 1er étage (BOST)

algèbre de Hecke # anneau de déformation universelle # cohomologie galoisienne # conjecture de Serre # correspondance de Hecke # courbe elliptique # courbe modulaire # grand théorème de Fermat # intersection complète # représentation galoisienne # schéma en groupe # théorème de Wiles

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## Mutually enriching connections between ergodic theory and combinatorics - part 8 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 7 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 6 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 5 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 4 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 3 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 2 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 1 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

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## The congruence $f(x) + g(y) + c = 0$ $(mod$ $xy)$ Schinzel, Andrzej | CIRM H

Multi angle

Research talks;Number Theory

The assertions made by L. J. Mordell in his paper in Acta Mathematica 44(1952) are discussed. Mordell had been to a certain extent anticipated by E. Jacobsthal (1939).
backward induction - congruence - equation - non-zero coefficients - polynomials

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## Linear forms in logarithms and applications Bugeaud, Yann | European Mathematical Society 2018

Ouvrage

- xvi; 224 p.
ISBN 978-3-03719-183-5

IRMA lectures in mathematics and theoretical physics , 0028

Localisation : Ouvrage RdC (BUGE)

théorie de Baker # forme linéaire en logarithme # équation diophantienne # équation de Thue # conjecture abc # diviseur primaire # mesure d'irrationalité # analyse p-adique

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## Discriminant equations in Diophantine number theory Evertse, Jan-Hendrik ; Gyory, Kalman | Cambridge University Press 2017

Ouvrage

- xviii; 457 p.
ISBN 978-1-107-09761-2

New mathematical monographs , 0032

Localisation : Ouvrage RdC (EVER)

équation discriminante # équation unitaire # ordre monogénique # algèbre étale # séparation des racines # conjecture de Shafarevich

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## Algebraic number theory and Fermat's last theorem Stewart, Ian ; Tall, David | CRC Press 2016

Ouvrage

- xix; 322 p.
ISBN 978-1-4987-3839-2

Localisation : Ouvrage RdC (STEW)

théorie des nombres algébriques # dernier théorème de Fermat

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## Fermat's last theorem:the proof Saito , Takeshi ; Kuwata, Masato | Amercian Mathematical Society 2014

Ouvrage

- xv; 222 p.
ISBN 978-0-8218-9849-9

Translations of mathematical monographs , 0245

Localisation : Collection 1er étage;Réserve

théorème de Fermat # forme modulaire # représentation de Galois # cohomologie Galoisienne # anneau intègre # modèle de Néron # module de Hecke # groupe de Selmer # Jacobien

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## Fermat's last theorem:basic tools Saito , Takeshi ; Kuwata, Masato | American Mathematical Society 2013

Ouvrage

- xv; 200 p.
ISBN 978-0-8218-9848-2

Translations of mathematical monographs , 0243

Localisation : Collection 1er étage;Réserve

grand théorème de Fermat # théorie des nombres

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## Explicit methods in number theory:rational points & Diophantine equations Belabas, Karim ; Beukers, Frits ; Gaudry, Pierrick ; McCallum, William ; Poonen, Bjorn ; Siksek, Samir ; Stoll, Michael ; Watkins, Mark | Société Mathématique de France 2012

Ouvrage

- xxii; 179 p.
ISBN 978-2-85629-359-1

Panoramas et synthèses , 0036

Localisation : Collection 1er étage

théorie des nombres # équation diophantienne # courbe elliptique # méthode de Coleman # équation de Fermat

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## Catalan's conjecture Schoof, René | Springer-Verlag 2008

Ouvrage

- ix; 124 p.
ISBN 978-1-84800-184-8

Universitext

Localisation : Ouvrage RdC (SCHO)

théorie des nombres # équation diophantienne de degré élevé # équation diophantienne exponentielle # extension cyclotomique # conjecture de Catalan # théorie de Galois # méthode de Runge # théorème de Stickelberger # théorème de densité de Chebotarëv # téorème de Thaine # démonstration de Mihailescu

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## Heights in diophantine geometry Bombieri, Enrico ; Gubler, Walter | Cambridge University Press 2006

Ouvrage

- 652 p.
ISBN 978-0-521-84615-8

New mathematical monographs , 0004

Localisation : Ouvrage RdC (BOMB)

équation diophantienne # géométrie diophantienne # hauteur # théorème de Mordell-Weil # théorème de Roth # théorie de Nevanlinna # variété abélienne

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## Chabauty methods and covering techniques applied to generalized Fermat equations Bruin, N. R. | Stichting Mathematisch Centrum 2002

Ouvrage

- 77 p.
ISBN 978-90-6196-508-4

CWI tract , 0133

Localisation : Collection 1er étage

équation de Fermat # méthode de Chabauty # courbe elliptique # point rationnel # corps de nombre # restriction arithmétique # courbe hyperbolique # genre different de 1 sur un corps global

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## The Fermat diary Mozzochi, C. J. | American Mathematical Society 2000

Ouvrage

- 196 p.
ISBN 978-0-8218-2670-6

Localisation : Monographie RdC (MOZZ)

dernier théorème de Fermat # histoire # théorie des nombres # équation de Fermat # équation de degré supérieur # équation diophantine

11D41

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