%0 Journal Article
%T On the Modular Erdös-Burgess Constant
%A Jun Hao
%A Haoli Wang
%A Lizhen Zhang
%J Open Journal of Discrete Mathematics
%P 11-16
%@ 2161-7643
%D 2019
%I Scientific Research Publishing
%R 10.4236/ojdm.2019.91003
%X Let n be a positive
integer. For any integer a, we say that is idempotent modulo n if a2¡Ôa(mod n). The n-modular Erdös-Burgess constant is the smallest positive integer l such that any l integers contain one or more integers, whose product is idempotent modulo n.
We gave a sharp lower bound of the n-modular
Erdös-Burgess constant, in particular, we determined the n-modular Erdös-Burgess constant in the case when n was a prime power or a product of
pairwise distinct primes.
%K Erdö
%K s-Burgess Constant
%K Davenport Constant
%K Modular Erdö
%K s-Burgess Constant
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=89631