Representation of Integers by Form f(x1, x2, x3) Over The Field Δf ,m
DOI:
https://doi.org/10.15415/mjis.2018.62009Keywords:
Quadratic Form, Binary Form, Representations, Primes, Odd InvariantsAbstract
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.
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Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.
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Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in |
