Hasse- Minkowski principle for Quadratic forms over Q

Tankaria, Hardik and Kumar, Narasimha (2016) Hasse- Minkowski principle for Quadratic forms over Q. Masters thesis, Indian Institute of Technology Hyderabad.

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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.

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IITH Creators:
IITH CreatorsORCiD
Kumar, NarasimhaUNSPECIFIED
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
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