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Some classical and p-adic L-functions over number fields

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dc.contributor.author Taha, Razan Khalil.
dc.date.accessioned 2013-10-02T09:23:31Z
dc.date.available 2013-10-02T09:23:31Z
dc.date.issued 2013
dc.identifier.uri http://hdl.handle.net/10938/9648
dc.description Thesis (M.S.)--American University of Beirut, Department of Mathematics, 2013.
dc.description Advisor : Dr. Kamal Khuri-Makdisi, Professor, Department of Mathematics--Committee Members : Dr. Martin Bright, Assistant Professor, Department of Mathematics ; Dr. Wissam Raji, Assistant Professor, Department of Mathematics.
dc.description Includes bibliographical references (leaves 86-87)
dc.description.abstract L-functions are generalizations of the Riemann zeta function. We define and study L-functions L(s,χ) attached to Hecke characters χ over number fields Q(α). Such functions converge only when Re(s)1 but have an analytic, or sometimes meromorphic, continuation to all s in the complex plane C. Moreover, we study L-functions of a p-adic variable s and calculate their special values when s is a negative integer -k.
dc.format.extent viii, 87 leaves ; 30 cm.
dc.language.iso eng
dc.relation.ispartof Theses, Dissertations, and Projects
dc.subject.classification T:005852 AUBNO
dc.subject.lcsh Algebraic number theory.
dc.subject.lcsh p-adic numbers.
dc.subject.lcsh L-functions.
dc.subject.lcsh Number theory.
dc.title Some classical and p-adic L-functions over number fields
dc.type Thesis
dc.contributor.department American University of Beirut. Faculty of Arts and Sciences. Department of Mathematics.


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