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

Andrews, George; Ekhad, Shalsoh B.; Zeilberger, Doron

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

Authors

Andrews, George

Ekhad, Shalsoh B.

Zeilberger, Doron

Description

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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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/152802

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9206203
http://arxiv.org/abs/math/9206203
Amer. Math. Monthly 100(1993), 273-276

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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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