• Login
    View Item 
    •   Home
    • Theses and Dissertations
    • Theses and Dissertations
    • View Item
    •   Home
    • Theses and Dissertations
    • Theses and Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of TUScholarShareCommunitiesDateAuthorsTitlesSubjectsGenresThis CollectionDateAuthorsTitlesSubjectsGenres

    My Account

    LoginRegister

    Help

    AboutPoliciesHelp for DepositorsData DepositFAQs

    Statistics

    Display statistics

    Hecke Correspondence for Automorphic Integrals with Infinite Log-Polynomial Periods

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Daughton_temple_0225E_11083.pdf
    Size:
    416.6Kb
    Format:
    PDF
    Download
    Genre
    Thesis/Dissertation
    Date
    2012
    Author
    Daughton, Austin James Chinault
    Advisor
    Knopp, Marvin Isadore, 1933-
    Committee member
    Datskovsky, Boris Abramovich
    Berhanu, Shiferaw
    Mendoza, Gerardo A.
    Pribitkin, Wladimir
    Department
    Mathematics
    Subject
    Mathematics
    Automorphic Forms
    Automorphic Integrals
    Hecke Correspondence
    Number Theory
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/1054
    
    Metadata
    Show full item record
    DOI
    http://dx.doi.org/10.34944/dspace/1036
    Abstract
    Since Hecke first proved his correspondence between Dirichlet series with functional equations and automorphic forms, there have been a great number of generalizations. Of particular interest is a generalization due to Bochner that gives a correspondence between Dirichlet series with any finite number of poles that satisfy the classical functional equation and automorphic integrals with (finite) log-polynomial sum period functions. In this dissertation, we extend Bochner's result to Dirichlet series with finitely many essential singularities. With some restrictions on the underlying group and the weight, we also prove a correspondence for Dirichlet series with infinitely many poles. For this second correspondence, we provide a technique to approximate automorphic integrals with infinite log-polynomial sum period functions by automorphic integrals with finite log-polynomial period functions.
    ADA compliance
    For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
    Collections
    Theses and Dissertations

    entitlement

     
    DSpace software (copyright © 2002 - 2021)  DuraSpace
    Temple University Libraries | 1900 N. 13th Street | Philadelphia, PA 19122
    (215) 204-8212 | scholarshare@temple.edu
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.