Mathematical Sciences: L Functions With Applications to the Oscillator Representation
{'Code': '03040300', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Gary Cornell'}
This research is concerned with the construction of L-                     functions of automorphic representations and of various                         applications to problems involving the oscillator representation.               Work will be done to generalize the Siegel-Weil formula to the                  general case.  The goal will be to have a general description of                the theta correspondence of any automorphic form, especially                    Eisenstein series.                                                                   Automorphic L-functions are generating functions of various                arithmetic functions and manage to encode much information in                   their analytic properties.  Obtaining general theories of how                   these types of functions behave is the central focus of this                    research.
{'FirstName': 'Stephen', 'LastName': 'Rallis', 'EmailAddress': 'haar@math.ohio-state.edu', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Ohio State University Research Foundation -DO NOT USE', 'CityName': 'Columbus', 'ZipCode': '432101016', 'PhoneNumber': '6146888734', 'StreetAddress': '1960 KENNY RD', 'CountryName': 'United States', 'StateName': 'Ohio', 'StateCode': 'OH'}
{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801183.xml'}