Products of factorials modulo p

Florian Luca; Pantelimon Stănică

Colloquium Mathematicae, Tome 96 (2003), p. 191-205 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that if p ≠ 5 is a prime, then the numbers $1 / p (\binom{p}{m ₁, . . ., m_{t}}) | t \geq 1, m_{i} \geq 0 f o r i = 1, . . ., t a n d \sum_{i = 1}^{t} m_{i} = p$ cover all the nonzero residue classes modulo p.

Publié le : 2003-01-01

Zbl 1042.11002

EUDML-ID : urn:eudml:doc:285097

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Florian Luca; Pantelimon Stănică. Products of factorials modulo p. Colloquium Mathematicae, Tome 96 (2003) pp. 191-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-2-4/