An expression of the multivariate sigma function associated with an (n,s)-curve is given in terms of algebraic integrals. As a corollary the first term of the series expansion around the origin of the sigma function is directly proved to be Schur function determined from the gap sequence at infinity.
"On Algebraic Expressions of Sigma Functions for (n, s) Curves." Asian J. Math. 14 (2) 175 - 212, June 2010.