On the coefficients of the distinct monomials in the expansion of $x_1(x_1+x_2)\cdots(x_1+x_2+\cdots+x_n)$

Sela Fried

paper

On the coefficients of the distinct monomials in the expansion of $x_{1} (x_{1} + x_{2}) \dots (x_{1} + x_{2} + \dots + x_{n})$

arXiv:2111.07331

Abstract

We initiate the study of the coefficients of the distinct monomials in the expansion of the multivariate polynomials $x_{1} (x_{1} + x_{2}) \dots (x_{1} + x_{2} + \dots + x_{n}), n \in N$ . In particular we obtain several results regarding their maximal coefficients.

On the coefficients of the distinct monomials in the expansion of x1​(x1​+x2​)⋯(x1​+x2​+⋯+xn​)

Abstract

On the coefficients of the distinct monomials in the expansion of $x_{1} (x_{1} + x_{2}) \dots (x_{1} + x_{2} + \dots + x_{n})$