%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