... case1
where one distinguishes 4k2(1-k2) or (1-k2)/2k for N respectively odd or even.
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... counterpart2
We note that $J_3(x)=f\left(2(1-x^3)^{1/3}\right)$ where f is the Belyi function of the tetrahedron, see [33], p. 376.
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Agnes Szanto
2000-05-10