Sums of Two Squares Visualized
Ishan Banerjee, Amites Sarkar
TL;DR
This paper offers a geometric perspective on Brillhart's algorithm for representing primes congruent to 1 modulo 4 as sums of two squares, enhancing understanding of this classical number theory result.
Contribution
It introduces a novel geometric interpretation of Brillhart's algorithm, providing new insights into expressing primes as sums of two squares.
Findings
Geometric visualization of Brillhart's algorithm
Deeper understanding of sum of two squares representations
Potential for new computational methods
Abstract
We provide a geometric interpretation of Brillhart's celebrated algorithm for expressing a prime as the sum of two squares.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematics and Applications · Analytic Number Theory Research