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| Title: | Lower bounds for lcm of integers in arithmetic progression |
| Authors: | Shea-Ming, Oon |
| E-mail: | oonsm@um.edu.my |
| Keywords: | Regional Conference on Applied and Engineering Mathematics (RCAEM)
Lower bound
Least common multiple
Arithmetic progression |
| Issue Date: | 2-Jun-2010 |
| Publisher: | Universiti Malaysia Perlis (UniMAP) |
| Department: | Institut Matematik Kejuruteraan |
| Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
| Abstract: | The bounds of the least common multiple for the finite sequences in arithmetic
progressions are interesting questions. The sum of von Mangoldt function of the first
n positive integers is exactly the logarithm of their least common multiple. Such questions
are thus closely related to Prime Number Theorem. However, we may also be interested
on the effective uniform bound, and this is already answered by Hanson and Nair thirty
years ago. In this talk, we shall consider positive integers in arithmetic progressions and
discuss some advancement on such estimate. |
| Description: | 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| URI: | http://hdl.handle.net/123456789/10367 |
| Appears in Collections: | Conference Papers
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