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Vol. 9 No. 1.3 (2020)
Scholar : National School of Leadership

Research Articles

A STUDY ON FOUR SQUARE THEOREM

Published 2020-04-25

  • RAMYA R

RAMYA R
Dhanalakshmi Srinivasan College of Arts & Science for Women (Autonomous), Perambalur, Tamil Nadu, India

Abstract

The four square theorem was proved by Lagrange in 1770; every positive integer is the sum of four squares. i.e, n=A2+B2+C2+D2, where, A,B,C,D ϵ z An interesting proof is presented here based on Hurwitz integers, a subset of Quarternions which act like integers in four dimension and have the prime divisor property

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