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Arithmetic functions: an algebraic approach.

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dc.contributor.author Mohdzaid, Shamsiah.
dc.date.accessioned 2012-07-30T13:20:59Z
dc.date.available 2012-07-30T13:20:59Z
dc.date.created 1988 en_US
dc.date.issued 2012-07-30
dc.identifier.uri http://hdl.handle.net/123456789/1924
dc.description 91 leaves en_US
dc.description.abstract The purpose of this thesis is to investigate arithmetic functions from an algebraic point of view. The emphasis is on algebraic structure on the set of arithmetic functions under two different convolution-type product operations, to Dirichlet products (X), and the unitary product (o). This algebraic approach has the advantage that leads to the development of many classical results in number theory without difficulties and unpleasant computations techniques. The set of arithmetic functions with respect to ordinary addition and Dirichlet product forms unique factorization. However, contrary to Dirichlet product, the set of arithmetic functions with ordinary addition and unitary product is not even in integral domain. Important arithmetic functions and their unitary will be discussed. en_US
dc.language.iso en_US en_US
dc.subject Arithmetic functions. en_US
dc.subject Dirichlet forms. en_US
dc.subject Unitary groups. en_US
dc.title Arithmetic functions: an algebraic approach. en_US
dc.type Thesis en_US
dc.college las en_US
dc.advisor Essam A. Abotteen en_US
dc.department mathematics, computer science, and economics en_US

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