Arithmetic properties of Heilbronn sums (Q795866)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Arithmetic properties of Heilbronn sums |
scientific article; zbMATH DE number 3863297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic properties of Heilbronn sums |
scientific article; zbMATH DE number 3863297 |
Statements
Arithmetic properties of Heilbronn sums (English)
0 references
1984
0 references
Various properties of Heilbronn sums \(H_ q=Tr_ L^{{\mathbb{Q}}(\zeta)}(\zeta)\), where \(\zeta\) is a primitive \(q^ 2th\) root of unity and \(L\subseteq {\mathbb{Q}}(\zeta)\) the subfield of degree q (q are odd primes), and their norms relating to the Fermat quotients \((p^{q-1}-1)/q (mod q)\) (\(p\neq q\) prime) are proved.
0 references
congruence properties
0 references
primitive root of unity
0 references
divisibility properties
0 references
exponential sums
0 references
cyclotomic fields
0 references
norms
0 references
Fermat quotients
0 references
