Generalization of Eisenstein's congruence (Q1074613)
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: Generalization of Eisenstein's congruence |
scientific article; zbMATH DE number 3948361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of Eisenstein's congruence |
scientific article; zbMATH DE number 3948361 |
Statements
Generalization of Eisenstein's congruence (English)
0 references
1985
0 references
Die bekannte Kongruenz von Eisenstein, \(2^{p-1}\equiv 1+p(1+1/3+1/5+...+1/(p-2))\) (mod \(p^ 2)\), p Primzahl \(>2\), wobei die Reziproken mod p zu nehmen sind, wird auf elementare Art zu einer (allerdings recht unhandlichen) Kongruenz für \(2^{p-1} mod p^ 3\) ausgedehnt, in der unter anderem dieselben Reziproken mod \(p^ 2\) auftreten.
0 references
generalized Eisenstein congruence
0 references
power residues
0 references
0.9294243
0 references
0.9286773
0 references
0.9183427
0 references
0.9173169
0 references
0.9157587
0 references
0 references
