Mathematical Sciences: Arithmetic of Automorphic Forms
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research will concentrate on an investigation of                      integral representations of Dirichlet series, L-functions,                      automorphic forms and related objects.  The kernels of interest                 for the integral representations are Eisenstein series on                       reductive algebraic groups or some suitable "fragments" of such                 Eisenstein series.  Results on the nature of special values,                    analytic continuations and functional equations would follow from               the existence of such integral representations.                                      This research will focus on various analytic functions that                encode important number theoretic information.  This technique                  allows one to apply the deep results of analysis to obtain number               theoretic information.  A basic analytic tool is to represent                   these functions as integrals of functions which are better                      understood.  That is precisely what the P.I. intends to do and                  has done so successfully in the past.
{'FirstName': 'Paul', 'LastName': 'Garrett', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Paul B Garrett', 'EmailAddress': 'garrett@math.umn.edu', 'NSF_ID': '000292899', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Minnesota-Twin Cities', 'CityName': 'MINNEAPOLIS', 'ZipCode': '554552009', 'PhoneNumber': '6126245599', 'StreetAddress': '200 OAK ST SE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Minnesota', 'StateCode': 'MN', 'CONGRESSDISTRICT': '05', 'CONGRESS_DISTRICT_ORG': 'MN05', 'ORG_UEI_NUM': 'KABJZBBJ4B54', 'ORG_LGL_BUS_NAME': 'REGENTS OF THE UNIVERSITY OF MINNESOTA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8700798.xml'}