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Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms |
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| Authors: | Guoyou Qian Shaofang Hong |
| Institution: | 1. Center for Combinatorics, Nankai University, Tianjin, 300071, People’s Republic of China 2. Yangtze Center of Mathematics, Sichuan University, Chengdu, 610064, People’s Republic of China 3. Mathematical College, Sichuan University, Chengdu, 610064, People’s Republic of China |
| Abstract: | Let l and m be two integers with l > m ≥ 0, and let a and b be integers with a ≥ 1 and a + b ≥ 1. In this paper, we prove that log lcm mn < i ≤ ln {ai + b} = An + o(n), where A is a constant depending on l, m and a. |
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