On the Modular Erdös-Burgess Constant

• 作者: Haoli Wang Jun Hao Lizhen Zhang
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: Erd?s-Burgess CONSTANT Davenport CONSTANT MODULAR Erd?s-Burgess CONSTANT
• 年，卷（期）: lssxqkyw_2019,（1）
• 页码范围: 11-16
• 页数: 6页
• 分类号: O1

摘要

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.