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

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dc.contributor.authorTaha, Razan Khalil.
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences
dc.contributor.institutionAmerican University of Beirut
dc.date2013
dc.date.accessioned2013-10-02T09:23:31Z
dc.date.available2013-10-02T09:23:31Z
dc.date.issued2013
dc.descriptionThesis (M.S.)--American University of Beirut, Department of Mathematics, 2013.
dc.descriptionAdvisor : 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.descriptionIncludes bibliographical references (leaves 86-87)
dc.description.abstractL-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.extentviii, 87 leaves ; 30 cm.
dc.identifier.urihttp://hdl.handle.net/10938/9648
dc.language.isoen
dc.relation.ispartofTheses, Dissertations, and Projects
dc.subject.classificationT:005852 AUBNO
dc.subject.lcshAlgebraic number theory.
dc.subject.lcshp-adic numbers.
dc.subject.lcshL-functions.
dc.subject.lcshNumber theory.
dc.titleSome classical and p-adic L-functions over number fields
dc.typeThesis

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