On the value set of n! modulo a prime

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Banks, William D. and Luca, Florian and Shparlinski, Igor E. and Stichtenoth, Henning (2005) On the value set of n! modulo a prime. Turkish Journal of Mathematics, 29 (2). pp. 169-174. ISSN 1300-0098

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Abstract

We show that for infinitely many prime numbers p there are at least \log\log p / \log\log\log p distinct residue classes modulo p that are not congruent to n! for any integer n.

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering and Natural Sciences
Depositing User:	Henning Stichtenoth
Date Deposited:	28 Dec 2005 02:00
Last Modified:	26 Apr 2022 08:10
URI:	https://research.sabanciuniv.edu/id/eprint/582

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