2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217863We give a new proof of Milne's formulas for the number of representations of an integer as a sum of 4m^2 and 4m(m+1) squares. The proof is based on explicit evaluation of pfaffians with elliptic function entries, and relates Milne's formulas to Schur Q-polynomials and to correlation functions for continuous dual Hahn polynomials. We also state a new formula for 2m^2 squares.30 pagesNumber TheoryClassical Analysis and ODEsCombinatoricsPrimary: 11E25, Secondary: 15A15, 33C45, 33E05text