Advances in the Theory of Automorphic Forms and Their (Record no. 127866)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 08703nam a22005293i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4901788 |
| 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 | 9781470430054 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470417093 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4901788 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4901788 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11406649 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)993772809 |
| 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 | QA353.A9.A38 2016 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.9 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Jiang, Dihua. |
| 245 10 - TITLE STATEMENT | |
| Title | Advances in the Theory of Automorphic Forms and Their |
| -- | |
| -- | functions. |
| 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 (386 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.664 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Contents -- Chapter 1. Preface -- Local transfer and reducibility of induced representations of -adic groups of classical type -- 1. Introduction -- 2. Local representations and -functions -- 3. Generic local transfers - supercuspidal case -- 4. Reducibility of local representations -- References -- Shintani relation for base change: unitary and elliptic representations -- 1. Introduction -- 2. Notation and basic facts (local) -- 3. Results (local) -- 4. Notation and basic facts (global) -- 5. Results (global) -- 6. Proofs -- 7. Appendix: multiplicity one irreducible subquotients -- References -- On -functions for _{2 }× _{ / } _{ }, ( < -- ) -- 1. Introduction -- 2. The global integral -- 3. Convergence of the local integrals -- 4. Non-vanishing of the local integrals at a given point ₀. -- 5. Local gamma factors -- 6. Computation of the local integrals with unramified data -- References -- On the Howe duality conjecture in classical theta correspondence -- 1. Introduction -- 2. Special Case of Theorem 1.2 -- 3. Proof of Theorem 1.2 -- 4. Proof of Theorem 1.3 -- 5. Proof of Proposition 3.1 -- References -- Whittaker rational structures and special values of the Asai -function -- 1. Introduction -- 2. Notation and conventions -- 3. Instances of algebraicity -- 4. The Whittaker \regulator s -- 5. A cohomological interpretation of \Res_{ =1} ( ,Π×Π^{∨}) -- 6. A cohomological interpretation of \Res_{ =1} ( ,Π,\As^{(-1)ⁿ⁻¹}) -- 7. A relation between the bottom Whittaker \regulator and (1,Π,\As^{(-1)ⁿ}) -- References -- Character sums of composite moduli and hybrid subconvexity -- 1. Introduction and main results -- 2. Preliminaries -- 3. Proof of Theorem 1 and Corollary 1 -- References -- A linear algebra description of _{ℂ}∖ _{ℂ}/ _{ℂ} for classical groups -- 0. Introduction -- 1. Diagonal Subgroups. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2. Bilinear forms -- 3. Direct sum decomposition ( _{ + }(ℂ), _{ }(ℂ)× _{ }(ℂ)) -- 4. Orthogonal direct sums (( _{ + }(ℂ), _{ }(ℂ)× _{ }(ℂ)) and ( _{2( + )}(ℂ), _{2 }(ℂ)× _{2 }(ℂ)) -- 5. Polarizations (( _{2 }(ℂ), _{ }(ℂ)) and ( _{2ℓ}(ℂ), _{ℓ}(ℂ))) -- 6. A more unified viewpoint -- 7. Orbit closures and twisted involutions -- References -- Germs for Kloosterman integrals, a review -- 1. The result -- 2. The first step -- 3. Proof of the Theorem -- References -- Fourier coefficients for automorphic forms on quasisplit classical groups -- 1. Introduction -- 2. Arthur Parameters and the Discrete Spectrum -- 3. A Conjecture on Fourier Coefficients -- 4. Progress towards Conjecture 3.2 -- 5. Other Topics Related to Fourier Coefficients -- 6. Roots exchange and Fourier coefficients -- References -- A generalized Casselman-Shalika formula on _{ } -- 1. Introduction -- 2. Reviews and Set up -- 3. Hecke algebras and their representations -- 4. Intertwining Operators and Functional Equations -- References -- A conditional construction of Artin representations for real analytic Siegel cusp forms of weight (2,1) -- 1. Introduction -- 2. Preliminaries on ₄ -- 3. Vector-valued real analytic Siegel modular forms -- 4. Infinity type of the associated automorphic representation of ₄ -- 5. Correspondence between automorphic representations of ₄ and ₄ -- 6. Application of Rankin-Selberg method -- 7. Conjecture on the existence of mod ℓ Galois representations -- 8. Bounds of certain subgroups of ₄(\F_{ℓⁿ}) -- 9. Proof of the Main Theorem -- 10. Symmetric cube of elliptic cusp forms of weight 1 -- 11. Siegel cusp forms of solvable type -- References -- Another product for a Borcherds form -- 1. Complex coordinates and lattices -- 2. Theta series and the Borcherds lift -- 3. Fourier-Jacobi expansions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. A computation of the regularized integral -- 5. Examples -- 6. Comparison -- References -- On Whittaker-Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity -- 1. Introduction -- 2. Notation and preliminaries -- 3. Representations of unitary type -- Part 1. The case \une -- 4. Fourier-Jacobi coefficients and descent -- 5. Reduction to a local conjecture -- 6. A heuristic argument: case of \U₂⁻ -- Part 2. The case \uno -- 7. Gelfand-Graev coefficients and descent -- 8. Reduction to a local conjecture -- 9. A heuristic argument: case of \U₃⁺ -- References -- Introduction to plectic cohomology -- 1. Introduction -- 2. Analytic cohomology of compact pure Shimura varieties -- 3. Interlude: induction and tensor induction -- 4. Etale cohomology of quaternionic Shimura varieties -- 5. Plectic reflex Galois group -- 6. The ℓ-adic plectic conjecture for pure Shimura varieties -- 7. Plectic ℓ-adic cohomology: the pure case -- 8. The mixed case -- 9. Motivation -- 10. Theta functions and classical zeta elements -- 11. Theta functions and cohomology -- 12. Towards zeta elements over totally real fields -- 13. Plectic theta elements -- 14. Specialisations of plectic Siegel classes and Stark's conjectures -- 15. Plectic constructions involving plectic Siegel classes -- 16. Plectic Hodge theory -- 17. An arithmetic application -- 18. Final speculations -- References -- A comparison of automorphic and Artin L-series of GL(2)-type agreeing at degree one primes -- Introduction -- 1. Notations and preliminaries -- 2. Temperedness -- 3. Entireness -- 4. Descent -- References -- Topologies of nodal sets of random band limited functions -- 1. Introduction -- 2. Outline of proofs -- References -- Geometric cycles, classical groups and related cohomology classes for arithmetic groups -- Introduction. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Geometric construction of cohomology classes -- 2. The case of the classical groups ( , ), ( , ), ( , ) -- 3. The case of the classical groups _{ }(\R) and _{ }(\C) -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume contains the proceedings of the workshop on "Advances in the Theory of Automorphic Forms and Their L-functions" held in honor of James Cogdell's 60th birthday, held from October 16-25, 2013, at the Erwin Schrödinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of p-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, L-functions for classical groups, special values of L-functions, Howe duality, subconvexity for L-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on L-functions, nodal sets and geometry. |
| 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 | Automorphic forms--Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shahidi, Freydoon. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Soudry, David. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Soudry, David. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Jiang, Dihua |
| Title | Advances in the Theory of Automorphic Forms and Their |
| -- | |
| -- | functions |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2016 |
| International Standard Book Number | 9781470417093 |
| 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=4901788">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4901788</a> |
| Public note | Click to View |
No items available.