The field of functional analysis of symmetric analytic functions explores the interplay between the structure of analytic function algebras and the inherent symmetries dictated by invariance under ...

Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...

Transactions of the American Mathematical Society, Vol. 357, No. 6 (Jun., 2005), pp. 2353-2377 (25 pages) The calculation of crystal structure from X-ray diffraction data requires that the phases of ...