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Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4 - MaRDI portal

Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4 (Q2273516)

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Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4
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    Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4 (English)
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    24 September 2019
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    The authors consider two hyper-elliptic Hamiltonian systems of degree 4 and determine the exact bound on the number of zeros of abelian integrals associated with these systems. They provide a proof to show that the exact bound is 3 for both systems.
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    hyper-elliptic Hamiltonian system
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    abelian integral
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    sharp bound
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