The iterated limit of quaternary means of four terms is expressed via Lauricella hypergeometric series of type D after constructing four automorphic forms on the ball B3 that invert the period map from cyclic branched coverings.
Ast´ erisque 165 (1988), 210
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The algebro-geometric aspect of the iterated limit of a quaternary of means of four terms
The iterated limit of quaternary means of four terms is expressed via Lauricella hypergeometric series of type D after constructing four automorphic forms on the ball B3 that invert the period map from cyclic branched coverings.