What is it about?
The publication studies the solution set to the equation for the unit circle in the real plane, when the equation is solved over a finite field, e.g. modulo a prime number. As a main result, a concise formula is established for the number of solutions to the circle equation over an arbitrary finite field.
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Why is it important?
Methods based on polynomial equations over finite fields are of utmost importance in cryptography and coding theory.
Perspectives
I think the publication may spur new developments in giving classical number theory an algebraic formulation.
Vagn Lundsgaard Hansen
Danmarks Tekniske Universitet
Read the Original
This page is a summary of: The circle equation over finite fields, Quaestiones Mathematicae, November 2017, Taylor & Francis,
DOI: 10.2989/16073606.2017.1395774.
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