The coexistence problem for the discrete Mathieu operator (Q1118732)

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scientific article; zbMATH DE number 4095902
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The coexistence problem for the discrete Mathieu operator
scientific article; zbMATH DE number 4095902

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    The coexistence problem for the discrete Mathieu operator (English)
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    1989
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    We solve the coexistence problem for the periodic discrete Mathieu operator in all parametric cases. The main tool in the proof is Bezout's theorem for projective plane curves. As an additional result we obtain the gap opening and gap growth powers for this operator.
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    periodic discrete Mathieu operator
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    Bezout's theorem
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    projective plane curves
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