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The least common multiple of a quadratic sequence

โœ Scribed by Cilleruelo, Javier


Book ID
120284647
Publisher
Cambridge University Press
Year
2010
Tongue
English
Weight
671 KB
Volume
147
Category
Article
ISSN
0010-437X

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We present here a method which allows to derive a nontrivial lower bounds for the least common multiple of some finite sequences of integers. We obtain efficient lower bounds (which in a way are optimal) for the arithmetic progressions and lower bounds less efficient (but nontrivial) for quadratic s