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This book discusses special properties of integer sequences from a
unique point of view. It generalizes common, well-known properties
and connects them with sequences such as divisible sequences, Lucas
sequences, Lehmer sequences, periods of sequences, lifting
properties, and so on. The book presents theories derived by using
elementary means and includes results not usually found in common
number theory books. Considering the impact and usefulness of these
theorems, the book also aims at being valuable for Olympiad level
problem solving as well as regular research. This book will be of
interest to students, researchers and faculty members alike.
This book discusses special properties of integer sequences from a
unique point of view. It generalizes common, well-known properties
and connects them with sequences such as divisible sequences, Lucas
sequences, Lehmer sequences, periods of sequences, lifting
properties, and so on. The book presents theories derived by using
elementary means and includes results not usually found in common
number theory books. Considering the impact and usefulness of these
theorems, the book also aims at being valuable for Olympiad level
problem solving as well as regular research. This book will be of
interest to students, researchers and faculty members alike.
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