33 citations · 339 across the 43 of their papers we have counts for
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math.CA2004★ 4 cited
On eigenvalues of Lamé operator
Kouichi Takemura
We introduce two integral representations of monodromy on Lamé equation. By applying them, we obtain results on hyperelliptic-to-elliptic reduction integral formulae, finite-gap po…
math.CA2004★ 21 cited
The Heun equation and the Calogero-Moser-Sutherland system IV: the Hermite-Krichever Ansatz
Kouichi Takemura
We develop a theory for the Hermite-Krichever Ansatz on the Heun equation. As a byproduct, we find formulae which reduce hyperelliptic integrals to elliptic ones.