A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings
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DOI: 10.1007/s10884-015-9427-0
Abstract: This paper considers a class of nearly integrable twist symplectic mappings with generating functions and proves the persistence of lower dimensional elliptic invariant tori under Rüssmann’s non-degeneracy conditions. read more here.
Keywords: kam theorem; symplectic mappings; nearly integrable; theorem class ... See more keywords
From the Ideal Theorem to the class number
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DOI: 10.4153/s0008439523000425
Abstract: In this note, we provide an explicit upper bound for $h_K \mathcal{R}_K d_K^{-1/2}$ which depends on an effective constant in the error term of the Ideal Theorem. read more here.
Keywords: theorem class; class number; ideal theorem;