The Theory of Modular Forms and the Converse Theorem of Weil

dc.contributor.authorBhatnagar, Tejasi
dc.date.accessioned2019-10-09T18:55:27Z
dc.date.available2019-10-09T18:55:27Z
dc.date.issued2019-10-09
dc.description.abstractIn this thesis we provide an introduction to the theory of modular forms. We aim to show two major results. The first one shows that the space of modular forms is finite dimensional. The second result is the “Converse Theorem of Weil” on L-functions associated to modular forms. As we go on we will encounter some very interesting mathematical objects such as modular curves, Hecke operators and L-functions.en_US
dc.description.sponsorshipIISERMen_US
dc.guideGanguli, Abhik
dc.identifier.uriIISERMen_US
dc.identifier.urihttp://hdl.handle.net/123456789/1247
dc.language.isoenen_US
dc.publisherIISERMen_US
dc.subjectMathematicsen_US
dc.subjectTheorem of Weilen_US
dc.subjectL-functionsen_US
dc.subjectModular formsen_US
dc.subjectRiemann Roch Theoremen_US
dc.titleThe Theory of Modular Forms and the Converse Theorem of Weilen_US
dc.typeThesisen_US

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