On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials
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DOI: 10.1007/s40598-019-00102-1
Abstract: The class $${\mathcal {B}}$$B of lacunary polynomials $$f\,(x)\ :=\ -1\ +\ x\ +\ x^{n}\ +\ x^{m_{1}}\ +\ x^{m_{2}}\ +\ \cdots \ +\ x^{m_{s}}$$f(x):=-1+x+xn+xm1+xm2+⋯+xms, where $$s\ \geqslant \ 0$$s⩾0, $$m_{1}\ -\ n\ \geqslant \ n\ -\… read more here.
Keywords: reducibility; almost newman; lacunary polynomials; class mathcal ... See more keywords
Diophantine equations in separated variables and lacunary polynomials
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DOI: 10.1142/s179304211750110x
Abstract: We study Diophantine equations of type f(x) = g(y), where f and g are lacunary polynomials. According to a well-known finiteness criterion, for a number field K and nonconstant f,g ∈ K[x], the equation f(x)… read more here.
Keywords: variables lacunary; equations separated; lacunary polynomials; separated variables ... See more keywords