Some classical and p-adic L-functions over number fields
| dc.contributor.author | Taha, Razan Khalil. | |
| dc.contributor.department | American University of Beirut. Faculty of Arts and Sciences. Department of Mathematics. | |
| dc.date | 2013 | |
| dc.date.accessioned | 2013-10-02T09:23:31Z | |
| dc.date.available | 2013-10-02T09:23:31Z | |
| dc.date.issued | 2013 | |
| 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.identifier.uri | http://hdl.handle.net/10938/9648 | |
| dc.language.iso | en | |
| 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 |