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Lower bounds for lcm of integers in arithmetic progression

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.

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Bibliographic Details
Main Author: Shea-Ming, Oon
Other Authors: oonsm@um.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Lower bound
Least common multiple
Arithmetic progression
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10367
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spelling my.unimap-103672010-12-03T13:36:17Z Lower bounds for lcm of integers in arithmetic progression Shea-Ming, Oon oonsm@um.edu.my Regional Conference on Applied and Engineering Mathematics (RCAEM) Lower bound Least common multiple Arithmetic progression 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. 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. 2010-12-03T13:36:17Z 2010-12-03T13:36:17Z 2010-06-02 Working Paper http://hdl.handle.net/123456789/10367 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Regional Conference on Applied and Engineering Mathematics (RCAEM)
Lower bound
Least common multiple
Arithmetic progression
spellingShingle Regional Conference on Applied and Engineering Mathematics (RCAEM)
Lower bound
Least common multiple
Arithmetic progression
Shea-Ming, Oon
Lower bounds for lcm of integers in arithmetic progression
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.
author2 oonsm@um.edu.my
author_facet oonsm@um.edu.my
Shea-Ming, Oon
format Working Paper
author Shea-Ming, Oon
author_sort Shea-Ming, Oon
title Lower bounds for lcm of integers in arithmetic progression
title_short Lower bounds for lcm of integers in arithmetic progression
title_full Lower bounds for lcm of integers in arithmetic progression
title_fullStr Lower bounds for lcm of integers in arithmetic progression
title_full_unstemmed Lower bounds for lcm of integers in arithmetic progression
title_sort lower bounds for lcm of integers in arithmetic progression
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/10367
_version_ 1643789833716367360
score 13.214268

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