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math.NT2024
A proof of a conjecture on permutation trinomials
Daniele Bartoli, Mohit Pal, Pantelimon Stanica
In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding $f(X)=X^{q(p-1)+1} +αX^{pq}+X^…
math.NT2024
Non-permutation phenomena in trivariate families over $\F_{2^m}$ and resolution of a conjecture
Daniele Bartoli, Mohit Pal, Pantelimon Stanica +1
Constructing permutation polynomials over finite fields, particularly those with simple algebraic structure in multiple variables, is a fundamental problem with applications in cry…