1.

Record Nr.

UNINA9910154750003321

Autore

Katz Nicholas M.

Titolo

Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz

Pubbl/distr/stampa

Princeton, NJ : , : Princeton University Press, , [2016]

©1988

ISBN

1-4008-8212-5

Descrizione fisica

1 online resource (257 pages) : illustrations

Collana

Annals of Mathematics Studies ; ; 338

Disciplina

512/.7

Soggetti

Gaussian sums

Kloosterman sums

Homology theory

Monodromy groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Bibliography.

Nota di contenuto

Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References

Sommario/riassunto

The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as



convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.

2.

Record Nr.

UNINA9910483702303321

Titolo

Simulation, Modeling, and Programming for Autonomous Robots : 4th International Conference, SIMPAR 2014, Bergamo, Italy, October 20-23, 2014. Proceedings / / edited by Davide Brugali, Jan Broenink, Torsten Kroeger, Bruce MacDonald

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-11900-1

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (XVI, 594 p. 268 illus.)

Collana

Lecture Notes in Artificial Intelligence, , 2945-9141 ; ; 8810

Disciplina

629.892

Soggetti

Artificial intelligence

Computer simulation

User interfaces (Computer systems)

Human-computer interaction

Computer science

Computer networks

Software engineering

Artificial Intelligence

Computer Modelling

User Interfaces and Human Computer Interaction

Theory of Computation

Computer Communication Networks

Software Engineering

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

Simulation -- Modeling -- Programming -- Architectures -- Methods



and Tools -- Systems and Applications.

Sommario/riassunto

This book constitutes the refereed proceedings of the 4th International Conference on Simulation, Modeling, and Programming for Autonomous Robots, SIMPAR 2014, held in Bergamo, Italy, in October 2014. The 49 revised full papers presented were carefully reviewed and selected from 62 submissions. The papers are organized in topical sections on simulation, modeling, programming, architectures, methods and tools, and systems and applications.