Iida, Kousuke; Haraoka, Yoshishige Symmetric differential polynomials. (English) Zbl 1381.05085 Kumamoto J. Math. 30, 7-14 (2017). Summary: We show that any symmetric differential polynomial can be written as a ratio of differential polynomials in the elementary symmetric polynomials. An application to the twisted cohomology theory is presented. MSC: 05E05 Symmetric functions and generalizations 13N99 Differential algebra Keywords:symmetric polynomials; differential algebra; Picard-Fuchs equation PDFBibTeX XMLCite \textit{K. Iida} and \textit{Y. Haraoka}, Kumamoto J. Math. 30, 7--14 (2017; Zbl 1381.05085) Full Text: Link