The coexistence problem for the discrete Mathieu operator |
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Authors: | Pierre v Mouche |
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Institution: | (1) Mathematisch Instituut der R. U. Utrecht, 3508 TA Utrecht, The Netherlands |
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Abstract: | We solve the coexistence problem for the periodic discrete Mathieu operator in all parametric cases. The main tool in the proof will be 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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