Permutation polynomials over finite fields form a central theme in modern algebraic research, intertwining group theory, number theory and combinatorial design. A finite field is a set of elements ...
New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...
Polynomial theory and differential equations intersect at the foundations of modern analysis, combining algebraic structures with continuous change. Polynomial theory studies expressions formed by ...
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