Pal, Dibendu (2022) A Study in Algebraic Number Theory. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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Text (MS dissertation of Dibendu Pal (17MS098))
17MS098_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (777kB) |
Official URL: https://www.iiserkol.ac.in
Abstract
This Report is a study to establish Class Number Formula for Quadratic fields which is an abelian extension and also study some properties of p-adic numbers from definition along with valuations.We first study generalised Dedekind Zeta Function on a number ring and then establish formula for number of ideal classes.We then move on to some prerequisites for studying p-adic numbers and then study them.Finally, we move to Valuations ending with Ostrowski Theorem.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Dr. Swarnendu Datta |
| Uncontrolled Keywords: | Algebraic Number Theory; Class Number Formula; Dedekind Zeta Function; Number Ring; Ostrowski Theorem; Quadratic Fields |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Department of Mathematics and Statistics |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 15 Sep 2023 06:59 |
| Last Modified: | 15 Sep 2023 06:59 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/1338 |
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