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Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
Autore Katz Nicholas M. <1943->
Edizione [Course Book]
Pubbl/distr/stampa Princeton ; ; Oxford, : Princeton University Press, c2012
Descrizione fisica 1 online resource (213 p.)
Disciplina 515/.723
Collana Annals of mathematics studies
Soggetto topico Mellin transform
Convolutions (Mathematics)
Sequences (Mathematics)
Soggetto non controllato ArtinГchreier reduced polynomial
Emanuel Kowalski
EulerАoincar formula
Frobenius conjugacy class
Frobenius conjugacy
Frobenius tori
GoursatЋolchinВibet theorem
Kloosterman sheaf
Laurent polynomial
Legendre
Mellin transform
Pierre Deligne
Ron Evans
Tannakian category
Tannakian groups
Zeeev Rudnick
algebro-geometric
autodual objects
autoduality
characteristic two
connectedness
dimensional objects
duality
equidistribution
exponential sums
fiber functor
finite field Mellin transform
finite field
finite fields
geometrical irreducibility
group scheme
hypergeometric sheaf
interger monic polynomials
isogenies
lie-irreducibility
lisse
middle convolution
middle extension sheaf
monic polynomial
monodromy groups
noetherian connected scheme
nonsplit form
nontrivial additive character
number theory
odd characteristic
odd prime
orthogonal case
perverse sheaves
polynomials
pure weight
semisimple object
semisimple
sheaves
signs
split form
supermorse
theorem
theorems
ISBN 1-283-37996-1
9786613379962
1-4008-4270-0
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index
Record Nr. UNINA-9910789730903321
Katz Nicholas M. <1943->  
Princeton ; ; Oxford, : Princeton University Press, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
Autore Katz Nicholas M. <1943->
Edizione [Course Book]
Pubbl/distr/stampa Princeton ; ; Oxford, : Princeton University Press, c2012
Descrizione fisica 1 online resource (213 p.)
Disciplina 515/.723
Collana Annals of mathematics studies
Soggetto topico Mellin transform
Convolutions (Mathematics)
Sequences (Mathematics)
Soggetto non controllato ArtinГchreier reduced polynomial
Emanuel Kowalski
EulerАoincar formula
Frobenius conjugacy class
Frobenius conjugacy
Frobenius tori
GoursatЋolchinВibet theorem
Kloosterman sheaf
Laurent polynomial
Legendre
Mellin transform
Pierre Deligne
Ron Evans
Tannakian category
Tannakian groups
Zeeev Rudnick
algebro-geometric
autodual objects
autoduality
characteristic two
connectedness
dimensional objects
duality
equidistribution
exponential sums
fiber functor
finite field Mellin transform
finite field
finite fields
geometrical irreducibility
group scheme
hypergeometric sheaf
interger monic polynomials
isogenies
lie-irreducibility
lisse
middle convolution
middle extension sheaf
monic polynomial
monodromy groups
noetherian connected scheme
nonsplit form
nontrivial additive character
number theory
odd characteristic
odd prime
orthogonal case
perverse sheaves
polynomials
pure weight
semisimple object
semisimple
sheaves
signs
split form
supermorse
theorem
theorems
ISBN 1-283-37996-1
9786613379962
1-4008-4270-0
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index
Record Nr. UNINA-9910824873803321
Katz Nicholas M. <1943->  
Princeton ; ; Oxford, : Princeton University Press, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Natural Communication : The Obstacle-Embracing Art of Abstract Gnomonics / / Elias Zafiris; ed. by Ludger Hovestadt, Vera Bühlmann
Natural Communication : The Obstacle-Embracing Art of Abstract Gnomonics / / Elias Zafiris; ed. by Ludger Hovestadt, Vera Bühlmann
Autore Zafiris Elias
Pubbl/distr/stampa Berlin/Boston, : De Gruyter, 2021
Descrizione fisica 1 online resource (544 p.)
Disciplina 515.2
Collana Applied Virtuality Book Series
Soggetto topico ARCHITECTURE / Study & Teaching
Soggetto non controllato Structural Complexity
topoi
sheaves
adjunction
ISBN 3-0356-2080-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- PROLOGUE -- 1. CIRCULATION: ENCODING-PARTITIONING-DECODING -- 2. TRANSCENDENTAL CIRCULATION: EXPONENTIATION AND LOGARITHMIZATION -- 3. TEMPORAL BONDS: TRIPODAL SPECTRAL ARCHITECTONIC SYNTAXIS OF TIME -- 4. UNDECIDABILITY-UNCERTAINTY: INDIRECT LOGICAL CYCLES AND COMPUTATION -- 5. CIRCUMVENTING COMPLEXITY: MOTIF OF INFORMATION AS ANADYOMENE -- 6. GEOMETRIC CALCULUS: DIFFERENTIAL FORMS AND INTEGRATION -- 7. CANONICS OF INVARIANCE: THE COUPLING OF MATTER WITH FIELDS -- 8. ADJUNCTIONS: CATEGORY THEORY VIA NATURAL COMMUNICATION -- 9. CANONICS OF FUNCTORIAL RELATIONS: SIEVES AND REPRESENTABILITY -- 10. COMMUNICATION TOPOI: QUALIFYING THE PHYSICAL "CONTINUUM" -- 11. FUNCTORIAL GNOMONICS: TEMPORAL PERCOLATION AND ALETHEIA -- REFERENCES
Record Nr. UNISA-996411329503316
Zafiris Elias  
Berlin/Boston, : De Gruyter, 2021
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Natural Communication : The Obstacle-Embracing Art of Abstract Gnomonics / / Elias Zafiris; ed. by Ludger Hovestadt, Vera Bühlmann
Natural Communication : The Obstacle-Embracing Art of Abstract Gnomonics / / Elias Zafiris; ed. by Ludger Hovestadt, Vera Bühlmann
Autore Zafiris Elias
Pubbl/distr/stampa Berlin/Boston, : De Gruyter, 2021
Descrizione fisica 1 online resource (544 p.)
Disciplina 515.2
Collana Applied Virtuality Book Series
Soggetto topico ARCHITECTURE / Study & Teaching
Soggetto non controllato Structural Complexity
topoi
sheaves
adjunction
ISBN 3-0356-2080-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- PROLOGUE -- 1. CIRCULATION: ENCODING-PARTITIONING-DECODING -- 2. TRANSCENDENTAL CIRCULATION: EXPONENTIATION AND LOGARITHMIZATION -- 3. TEMPORAL BONDS: TRIPODAL SPECTRAL ARCHITECTONIC SYNTAXIS OF TIME -- 4. UNDECIDABILITY-UNCERTAINTY: INDIRECT LOGICAL CYCLES AND COMPUTATION -- 5. CIRCUMVENTING COMPLEXITY: MOTIF OF INFORMATION AS ANADYOMENE -- 6. GEOMETRIC CALCULUS: DIFFERENTIAL FORMS AND INTEGRATION -- 7. CANONICS OF INVARIANCE: THE COUPLING OF MATTER WITH FIELDS -- 8. ADJUNCTIONS: CATEGORY THEORY VIA NATURAL COMMUNICATION -- 9. CANONICS OF FUNCTORIAL RELATIONS: SIEVES AND REPRESENTABILITY -- 10. COMMUNICATION TOPOI: QUALIFYING THE PHYSICAL "CONTINUUM" -- 11. FUNCTORIAL GNOMONICS: TEMPORAL PERCOLATION AND ALETHEIA -- REFERENCES
Record Nr. UNINA-9910476910403321
Zafiris Elias  
Berlin/Boston, : De Gruyter, 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui