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Author: Morrill, Ryan W
Subject: Number field
Subject: Quadratic reciprocity
Subject: Theta inversion
Collections: Graduate and Postdoctoral Studies (GPS), Faculty of
Collections: Graduate and Postdoctoral Studies (GPS), Faculty of /Theses and Dissertations
Supervisors: Patnaik, Manish (Mathematics)
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Fall 2017
In this thesis, we formulate and prove the theorem of quadratic reciprocity for an arbitrary number field. We follow Hecke and base our argument on analytic techniques and especially on an identity of theta functions called theta inversion. From this inversion formula and a limiting argument, we...
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