Trends in Number Theory. (Record no. 127850)
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| 000 -LEADER | |
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| fixed length control field | 06986nam a22005173i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4901772 |
| 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 | 240724s2015 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470427290 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821898581 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4901772 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4901772 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11406633 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)993780139 |
| 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 | QA241.T746 2015 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.70000000000005 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Chamizo, Fernando. |
| 245 10 - TITLE STATEMENT | |
| Title | Trends in Number Theory. |
| 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 | 2015. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (258 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.649 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Contents -- Preface -- Automorphic Galois Representations and the Inverse Galois Problem -- 1. Introduction -- 2. Some classical cases -- 3. Compatible systems and the inverse Galois problem -- 4. Galois representations attached to automorphic forms -- 5. Main statements and ingredients of proof -- References -- Two Mayer-Vietoris Spectral Sequences for -modules -- 1. Introduction -- 2. Basics on spectral sequences -- 3. Mayer-Vietoris spectral sequence -- 4. Relative Mayer-Vietoris spectral sequence -- 5. Arrangements of hyperplanes -- References -- From Galois to Hopf Galois: Theory and Practice -- 1. Introduction -- 2. Classifying Hopf Galois structures -- 3. The lattice of sub-Hopf algebras and the main theorem -- 4. Hopf Galois in small degree -- 5. Intermediate extensions -- 6. Further developments -- References -- Elliptic Curves with Torsion Group ℤ/8ℤ or ℤ/2ℤ×ℤ/6ℤ -- 1. Introduction -- 2. Torsion group -- 3. Search for new rational points -- 4. Rank 1 families -- 5. Rank 2 families for the torsion group \Z/8\Z -- 6. Rank 2 families for the torsion group \Z/2\Z×\Z/6\Z -- 7. Examples of curves with high rank -- References -- Equidistribution, -Functions, and Sato-Tate Groups -- 1. Introduction -- 2. Equidistribution and -functions -- 3. The Sato-Tate group and the generalized Sato-Tate Conjecture -- 4. Group-theoretic classification results -- References -- Covering Techniques and Rational Points on Some Genus 5 Curves -- 1. Introduction -- 2. An algorithm -- 3. Examples -- Appendix A. On quartic elliptic curves -- Acknowledgements -- References -- On Quantum Integers and Rationals -- Introduction -- 1. Quantum integers -- 2. Quantum binomial coefficients -- 3. Quantum rational numbers -- 4. Twisted powers -- References -- References -- A Space of Weight 1 Modular Forms Attached to Totally Real Cubic Number Fields. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Introduction -- 2. Weight 1 forms attached to non-totally real cubic fields. -- 3. Totally real cubic fields -- 4. Explicit Scholz reflection principle -- Acknowledgements -- References -- Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases -- 1. Numerical semigroups -- 2. A characterization of elements and gaps in terms of Groebner bases -- 3. A first application: a bound "á la Wilf" -- 4. Acknowledgments -- References -- Classification des représentations modulaires de _{ }( ) en caractéristique non naturelle -- 1. Introduction -- Remerciements -- Notations et conventions -- 2. Le groupe \GL_{ } sur un corps fini -- 2.1. Foncteurs d'induction et restriction paraboliques -- 2.2. Décomposition de Mackey -- 2.3. Unicité du support cuspidal -- 2.4. Classification des représentations cuspidales en fonction des supercuspidales -- 2.5. Unicité du support supercuspidal -- 2.6. Réduction modulo ℓ -- 2.7. Fonctions de partition -- 3. Classification axiomatique -- 3.1. Axiomes -- 3.2. Classification -- 3.3. Preuve de (1) -- 3.4. Preuve de (2) -- 3.5. Preuve de (3) -- 3.6. Preuve de (4) -- 4. Les représentations (\s, ) et (\s, ) -- 4.1. Représentations presque projectives -- 4.2. Définition des représentations (\s, ) et (\s, ) -- 5. Les classifications de James et Dipper-James -- 5.1. La classification de Dipper-James -- 5.2. Classification de James -- 5.3. Sur le morphisme de réduction modulo ℓ -- 6. Impossibilité d'une classification duale -- References -- Fractional -adic Differentiability Under the Amice Transform -- Introduction -- Part 1. A resume of non-Archimedean r-fold differentiability -- 1. Cp-functions -- 2. Cv-functions or iterated non-Archimedean differentiability -- The Archimedean setting -- The non-Archimedean setting -- 3. Cr-functions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Part 2. Comparison of the fractionally differentiable and locally analytic topologies -- 4. Density of locally polynomial functions -- 5. The van der Put-basis -- 6. Comparison between Differentiability and Analyticity -- Part 3. The Amice transform -- 7. Local analyticity via the Amice transform -- 8. Duality -- Schikhof Duality -- The Cr-function space -- References -- Reciprocity Laws Related to Finite Potent Endomorphisms -- 1. Introduction -- 2. Finite Potent Endomorphisms -- 3. Abstract Residue and Segal-Wilson Pairing -- 4. Reciprocity Laws from Finite Potent Endomorphisms -- References -- When the Modular World Becomes Non-Holomorphic -- Introduction -- 1. -functions, functional equations and summation formulas -- Journey to a less known world -- 2. Preliminary concepts -- 3. Non-holomorphic automorphic forms -- 4. The spectral expansion -- 5. The Selberg trace formula -- 6. The Kuznetsov formula -- 7. Arithmetic applications -- 8. Beyond the (2) theory -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. |
| 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 | Number theory--Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guàrdia, Jordi. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Rojas-León, Antonio. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tornero, Jose Maria. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Chamizo, Fernando |
| Title | Trends in Number Theory |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2015 |
| International Standard Book Number | 9780821898581 |
| 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=4901772">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901772</a> |
| Public note | Click to View |
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