On the Numbers of Representations of a Number as a Sum of 2r Squares, Where 2r Does not Exceed Eighteen

Expansions in which the Coefficients are Powers of the Complex NunToare ix&Tiig n ae Norm," Vol.xxxix.Coxmeeied also with the sams subject are two other papers which had previously appeared in the Quarterly Journal, viz.: (i.) " On the Scjoressatations of a Number as a Sum of four Squares and on some Allied Arithmetical .7-aoaetions,"Vol.xxxxi., pp.