A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares

Doron Zeilberger (Temple University); George Andrews (Pennsylvania State University); Shalsoh B. Ekhad (Temple University)

arxiv: math/9206203 · v1 · submitted 1992-06-03 · 🧮 math.CO

A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares

George Andrews (Pennsylvania State University) , Shalsoh B. Ekhad (Temple University) , Doron Zeilberger (Temple University) This is my paper

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keywords formulafourintegerjacobinumberproofshortsquares

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A short and elementary proof, and a finite-form generalization, are given of Jacobi's formula for the number of ways of writing an integer as a sum of four squares (that implies Lagrange's famous 1777 theorem.)

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A Short Proof of Jacobi's Formula for the Number of Representations of an Integer as a Sum of Four Squares

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