Geodesic
Products of factorials modulo $p$
Florian Luca1 ; Pantelimon Stănică2
1 IMATE, UNAM Ap. Postal 61-3 (Xangari), CP. 58 089 Morelia, Michoacán, Mexico
2 Department of Mathematics Auburn University Montgomery Montgomery, AL 36124-4023, U.S.A.
Colloquium Mathematicum, Tome 96 (2003) no. 2, pp. 191-205.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that if $p\ne 5$ is a prime, then the numbers $$ \left\{{1 \over p} \left({p\atop {m_1,\dots,m_t}}\right) \biggm| t\ge 1,\, m_i\ge 0\ \hbox{for}\ i=1,\dots,t \ \hbox{and}~\sum_{i=1}^t m_i=p\right\} $$ cover all the nonzero residue classes modulo $p$.
DOI : 10.4064/cm96-2-4
Keywords: prime numbers atop dots right biggm hbox dots hbox sum p right cover nonzero residue classes modulo

Florian Luca 1 ; Pantelimon Stănică 2

1 IMATE, UNAM Ap. Postal 61-3 (Xangari), CP. 58 089 Morelia, Michoacán, Mexico
2 Department of Mathematics Auburn University Montgomery Montgomery, AL 36124-4023, U.S.A. 
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Florian Luca; Pantelimon Stănică. Products of factorials modulo $p$. Colloquium Mathematicum, Tome 96 (2003) no. 2, pp. 191-205. doi : 10.4064/cm96-2-4. http://geodesic.mathdoc.fr/articles/10.4064/cm96-2-4/

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