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Title: Lower bounds for lcm of integers in arithmetic progression
Authors: Shea-Ming, Oon
???metadata.dc.contributor.url???: 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)
???metadata.dc.publisher.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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