Article contents
THE LEAST COMMON MULTIPLE OF CONSECUTIVE TERMS IN A QUADRATIC PROGRESSION
Published online by Cambridge University Press: 12 April 2012
Abstract
Let k be any given positive integer. We define the arithmetic function gk for any positive integer n by We first show that gk is periodic. Subsequently, we provide a detailed local analysis of the periodic function gk, and determine its smallest period. We also obtain an asymptotic formula for log lcm0≤i≤k {(n+i)2+1}.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 3 , December 2012 , pp. 389 - 404
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
Footnotes
S. Hong was supported partially by National Science Foundation of China Grant #10971145 and by the PhD Programs Foundation of Ministry of Education of China Grant #20100181110073.
References
- 7
- Cited by