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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, $$m_{1}\ -\… Click to show full abstract
The class $${\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\ -\ 1$$m1-n⩾n-1, $$m_{q+1}\ -\ m_{q}\ \geqslant \ n\ -\ 1$$mq+1-mq⩾n-1 for $$1\ \leqslant \ q\ <\ s$$1⩽q
Keywords:
reducibility;
almost newman;
lacunary polynomials;
class mathcal;
geqslant
Journal Title: Arnold Mathematical Journal
Year Published: 2018
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Journal Title: Arnold Mathematical Journal
Year Published: 2018
Link to full text (if available)
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recommendations!