Chitkara University Publications

Representation of Integers by Form f(x1, x2, x3) Over The Field Δf ,m

Author(s):

Chetna, P.G. Department of Mathematics, M.M. Modi College, Patiala, Punjab

DOI: 

Keywords: 

Quadratic Form, Binary Form, Representations, Primes, Odd Invariants

Abstract:

This paper deals with the representation by the quadratic form in three variables with odd prime invariants. In this paper a primitive quadratic form over the field of integers with odd invariants is considered and another form mutually primitive to it especially for the case m → and the field Δf,m does not change its form. Then it is proved that the number of representations by form is greater than the number of classes of integral primitive binary quadratic forms.

References:

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Chetna and Singh H., Representation of numbers divisible by sufficiently large squares, Engineering Sciences International Research Journal, 3(2), 2015.

Chetna and Singh H., Representation by quadratic forms over field of the p-adic numbers, International Journal of Computer Science and Technology, 7(1),2016.

Chetna Representation of Quadratic Forms: A Tool for Coding and Cryptography IJECT 8(2), April – June (2017).

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