Explicit multiplicative relations between Gauss sums

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.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Applied Mathematics

Grantor

Mathematics

Year dc:date.available

2002

Author dc:creator

• Murray, Brian J.

• character sums

Statement dc:rights

• unrestricted
• Release the entire work immediately for access worldwide.

Identifier

etd-0708102-134248
https://repository.lsu.edu/gradschool_dissertations/757

OAI identifier oai:identifier

oai:repository.lsu.edu:gradschool_dissertations-1756