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Wang, H., Hao, J. and Zhang, L. (2018) On the Erdos-Burgess Constant of the Multiplicative Semigroup of a Factor Ring of . International Journal of Number Theory. (To Appear)

has been cited by the following article:

• TITLE: On the Modular Erdös-Burgess Constant

  AUTHORS: Jun Hao, Haoli Wang, Lizhen Zhang

  KEYWORDS: Erdös-Burgess Constant, Davenport Constant, Modular Erdös-Burgess Constant

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.9 No.1, December 29, 2018

  ABSTRACT: Let n be a positive integer. For any integer a, we say that is idempotent modulo n if a2≡a(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.