Tankaria, Hardik and Kumar, Narasimha
(2016)
Hasse- Minkowski principle for Quadratic forms over Q.
Masters thesis, Indian Institute of Technology Hyderabad.
Abstract
One of the main interesting topic in algebra is to find the roots of non-zero polynomials and writing down them explicitly over a given field K. The case which we consider in this project is the space of quadratic forms, which are homogeneous polynomials of degree 2, over Q. If they arise over Z, then we can study the zeros of these quadratic form by looking at them over Zp and study if that has zero in
Zp or not. By Hensels lemma, this studied over the reduction modulo p.
[error in script]
| IITH Creators: |
| IITH Creators | ORCiD |
|---|
| Kumar, Narasimha | UNSPECIFIED |
|
| Item Type: |
Thesis
(Masters)
|
| Uncontrolled Keywords: |
rational numbers, integers, TD508 |
| Subjects: |
Mathematics |
| Divisions: |
Department of Mathematics |
| Depositing User: |
Library Staff
|
| Date Deposited: |
09 May 2016 06:21 |
| Last Modified: |
22 May 2019 04:33 |
| URI: |
http://raiithold.iith.ac.in/id/eprint/2326 |
| Publisher URL: |
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| Related URLs: |
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