Classifying Quadratic Forms Over ℤ2 in Five Variables

Amrita Acharyya *

Department of Mathematics, University of Toledo, Toledo, OH 43606, USA.

Gerard Thompson

Department of Mathematics, University of Toledo, Toledo, OH 43606, USA.

*Author to whom correspondence should be addressed.


Abstract

Quadratic forms in ve variables over the field Z2 are classified by extending results previously obtained for four variables. It is shown that only one new form genuinely involving ve variables appears.

Keywords: Quadratic form, field of two elements.


How to Cite

Acharyya, Amrita, and Gerard Thompson. 2019. “Classifying Quadratic Forms Over ℤ2 in Five Variables”. Journal of Advances in Mathematics and Computer Science 31 (1):1-6. https://doi.org/10.9734/jamcs/2019/v31i130103.

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