Summary
By employing the method of modulus reduction,Jacobi's nome and its inverse may both be computed to any desired accuracy without recourse to series expansions. The accuracy attainable is limited only by the accuracy to which the given parameters are known.
Zusammenfassung
Durch Anwendung der Modul-Reduktionsmethode kann derJacobische Nome und seine Inverse ohne Benutzung von Reihenentwicklungen mit beliebiger Genauigkeit berechnet werden. Die erreichbare Genauigkeit ist lediglich durch die Genauigkeit beschränkt, mit der die gegebenen Parameter bekannt sind.
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References
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Fettis, H.E. Note on the computation of Jacobi's nome and its inverse. Computing 4, 202–206 (1969). https://doi.org/10.1007/BF02234768
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DOI: https://doi.org/10.1007/BF02234768