Geodesic
Nuttall decomposition of a~three-sheeted torus
Izvestiya. Mathematics , Tome 88 (2024) no. 5, pp. 873-929

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With the help of the Weierstrass elliptic functions, we study the problem of describing the Nuttall decomposition of a three-sheeted compact Riemann surface of genus $1$ related to an Abelian integral on the surface. This decomposition plays an important role in investigation of Hermite–Padé diagonal approximations.
Keywords: Hermite–Padé diagonal approximation, Riemann surface, elliptic function, Abelian integral, quadratic differential, complex torus. 
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     title = {Nuttall decomposition of a~three-sheeted torus},
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S. R. Nasyrov. Nuttall decomposition of a~three-sheeted torus. Izvestiya. Mathematics , Tome 88 (2024) no. 5, pp. 873-929. http://geodesic.mathdoc.fr/item/IM2_2024_88_5_a2/