| 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 |
|
| 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.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Murray_dis.pdf |
308.70 Kb |
00:01:25 |
00:00:44 |
00:00:38 |
00:00:19 |
00:00:01 |
|
