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Representing integers by multilinear polynomials (Lenny Fukshansky, CMC)
Representing integers by multilinear polynomials (Lenny Fukshansky, CMC)
Given a homogeneous multilinear polynomial F(x) in n variables with integer coefficients, we obtain some sufficient conditions for it to represent all the integers. Further, we derive effective results, establishing bounds on the size of a solution x to the equation F(x) = b, where b is any integer. For a special class of polynomials […]