Title page for ETD etd-0708102-134248


Type of Document Dissertation
Author Murray, Brian J.
Author's Email Address murray@math.lsu.edu
URN etd-0708102-134248
Title Explicit Multiplicative Relations between Gauss Sums
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Paul van Wamelen Committee Chair
Augusto Nobile Committee Member
Richard Litherland Committee Member
Robert Perlis Committee Member
W. George Cochran Committee Member
A. Louise Perkins Dean's Representative
Keywords
  • character sums
Date of Defense 2002-06-25
Availability unrestricted
Abstract
H.Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport-Hasse product formula and the norm relation for Gauss sums. While this is known to be false, very few counterexamples, now known as sign ambiguities, have been given. Here, we provide an explicit product formula giving an infinite class of new sign ambiguities and resolve the ambiguous sign in terms of the order of the ideal class of quadratic primes.

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