Mathematical Sciences: Hypergeometric Functions over Finite Fields
{'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 concerns character sum analogues for                         hypergeometric series over finite fields.  The principal                        investigator will systematically study an analogue of the Bailey                transform in an attempt to derive analogues for higher order                    hpergeometric series identities.  He will also study "pseudo"                   hypergeometric series, that is, functions which due to the nature               of the finite field can not be written as a character sum                       hypergeometric series but are closely related.  Also the                        principal investigator will investigate the relationship between                hypergeometric series and representation theory.                                     The purpose of the first two problems is to complete the                   theory of hypergeometric series over finite fields and to                       increase its computational power as a tool for character sum                    evaluation.  The goal of the last problem is to develop an                      interplay between the two areas of mathematics, to bring                        representation theoretic tools to bear on character sum problems                and to determine representation theoretic interpretations for                   known character sum identities.
{'FirstName': 'John', 'LastName': 'Greene', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John Greene', 'EmailAddress': None, 'NSF_ID': '000382386', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Southern Illinois University at Carbondale', 'CityName': 'CARBONDALE', 'ZipCode': '629014302', 'PhoneNumber': '6184534540', 'StreetAddress': '900 S NORMAL AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'IL12', 'ORG_UEI_NUM': 'Y28BEBJ4MNU7', 'ORG_LGL_BUS_NAME': 'BOARD OF TRUSTEES OF SOUTHERN ILLINOIS UNIVERSITY', '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=1988&All=true', 'xml': '8801131.xml'}