Frobenius Distributions : (Record no. 127865)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 05741nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4901787 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131323.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2016 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470430030 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470419479 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4901787 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4901787 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11406648 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)993773248 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA251.5.F76 2016 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7/4 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kohel, David. |
| 245 10 - TITLE STATEMENT | |
| Title | Frobenius Distributions : |
| Remainder of title | Lang-Trotter and Sato-Tate Conjectures. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (250 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics ; |
| Volume/sequential designation | v.663 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Contents -- Preface -- Lettre à Armand Borel -- Notes -- Points de repère chronologiques -- \frenchrefname -- Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture -- 1. Introduction -- 2. Hodge structures and Mumford-Tate group -- 3. Twisted Lefschetz groups -- 4. Hodge structures associated with -adic representations -- 5. Algebraic Sato-Tate conjecture -- 6. Connected components of \AST_{ } and \ST_{ } -- 7. Mumford-Tate group and Mumford-Tate conjecture -- 8. Some conditions for the algebraic Sato-Tate conjecture -- 9. Motivic Galois group and motivic Serre group -- 10. Motivic Mumford-Tate and Motivic Serre groups -- 11. The algebraic Sato-Tate group -- References -- An application of the effective Sato-Tate conjecture -- 1. Motivic -functions and motivic Galois groups -- 2. Equidistribution and motivic -functions -- 3. The case of an elliptic curve -- 4. The case of two elliptic curves -- 5. Notes on the general case -- Acknowledgements -- References -- Sato-Tate groups of some weight 3 motives -- 1. Introduction -- 2. Group-theoretic classification -- 3. Testing the generalized Sato-Tate conjecture -- 4. Modular forms and Hecke characters -- 5. Direct sum constructions -- 6. Tensor product constructions -- 7. The Dwork pencil -- 8. More modular constructions -- 9. Moment statistics -- Acknowledgments -- References -- Sato-Tate groups of ²= ⁸+ and ²= ⁷- . -- 1. Introduction -- 2. Background -- 3. Trace formulas -- 4. Guessing Sato-Tate groups -- 5. Determining Sato-Tate groups -- 6. Galois endomorphism types -- References -- Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II -- 1. Introduction -- 2. Recurrence relations -- 3. Accumulating remainder trees -- 4. Computing the first row -- 5. Hasse-Witt matrices of translated curves. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6. Computing the whole matrix -- 7. Performance results -- 8. Computing Sato-Tate distributions -- References -- Quickly constructing curves of genus 4 with many points -- 1. Introduction -- 2. A family of genus-4 curves covering a genus-2 curve -- 3. Change in defect -- 4. Interlude on work by Hayashida -- 5. Genus-2 curves with small defect -- 6. Genus-4 curves with small defect -- 7. Results -- References -- Variants of the Sato-Tate and Lang-Trotter Conjectures -- 1. Introduction -- 2. Variations of the Sato-Tate conjecture -- 3. The Lang-Trotter Conjecture on Average -- 4. Champion Primes -- References -- On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius -- 1. Introduction -- 2. The unitary symplectic group -- 3. Weyl's integration formula -- 4. Equidistribution -- 5. Expressions of the law of the trace in genus 2 -- 6. The Viète map and its image -- 7. The symmetric alcove -- 8. Symmetric integration formula -- Appendix A. The character ring of -- References -- Lower-Order Biases in Elliptic Curve Fourier Coefficients in Families -- 1. Introduction -- 2. Tools for Calculating Biases -- 3. Proven Special Cases -- 4. Numerical Investigations -- 5. Conclusion and Future Work -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held from February 17-21, 2014 and February 24-28, 2014, at the Centre International de Rencontres Mathématiques, Marseille, France. This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Frobenius algebras--Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shparlinski, Igor. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Kohel, David |
| Title | Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2016 |
| International Standard Book Number | 9781470419479 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901787">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901787</a> |
| Public note | Click to View |
No items available.