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 nonzero 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.
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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://raiith.iith.ac.in/id/eprint/2326 
Publisher URL: 

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