Mathematical Sciences: On Zeta - and L - Functions
{'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 the study of the vertical                distribution of zeros of L-functions and, in particular, to try                 to prove the existence of small gaps between zeros of the Riemann               zeta-function or of a Dirichlet L-function.                                          The research in this proposal concerns one the most                        venerable problems in number theory, namely the study of the                    various L-functions of classical analytic number theory.  They                  encode various number theoretic facts.  It turns out that their                 zeros are fundamental to the solution of the number theory                      problems that they are set up to solve.  This research will                     undoubtedly yield much insight into these important problems.
[{'FirstName': 'John', 'LastName': 'Conrey', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John B Conrey', 'EmailAddress': 'conrey@aimath.org', 'NSF_ID': '000480810', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Amit', 'LastName': 'Ghosh', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Amit Ghosh', 'EmailAddress': 'ghosh@hardy.math.okstate.edu', 'NSF_ID': '000313149', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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