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BERNDT'S CURIOUS FORMULA
International Journal of Number Theory
A curious arithmetic formula deduced by Berndt from an analytic formula of Ramanujan is proved arithmetically and used to prove the formulae given by Liouville for the number of representations of a positive integer by the forms x 2 + y 2 + z 2 + t 2 + 2u 2 + 2v 2 and x 2 + y 2 + 2z 2 + 2t 2 + 2u 2 + 2v 2 .doi:10.1142/s1793042108001614 fatcat:qc3auxhzffhsbhod6j7zrklkiq