2018/11/15 by Samuel Chamberlin, Chamberlin, Samuel, Azadeh Rafizadeh +1
Mathematics · #13Axx #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematical functions and polynomials #math.AC #msc:13Axx
paper · pdf · doi:10.48550/arxiv.1811.06491
arxiv created 2018/11/15 · openalex publication_date 2018/11/15 · arxiv updated 2018/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Newton-Girard Formula allows one to write any elementary symmetric polynomial as a sum of products of power sum symmetric polynomials and elementary symmetric polynomials of lesser degree. It has numerous applications. We have generalized this identity by replacing the elementary symmetric polynomials with monomial symmetric polynomials.