21 citations · 49 across the 11 of their papers we have counts for
Showing 2004 · math.CAShow all
2 papers · 2 filters
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.