Ramanujan’s missing hyperelliptic inversion formula

We present a direct proof of an inversion formula for a hyperelliptic integral that is not recorded by Ramanujan in his second notebook.

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Bibliographic Details
Published inThe Ramanujan journal Vol. 65; no. 3; pp. 1061 - 1071
Main Author Robinson, P. L.
Format Journal Article
LanguageEnglish
Published New York Springer US 2024
Springer Nature B.V
Subjects
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
33E05
Hyperelliptic inversion
Weierstrass elliptic function
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Summary:We present a direct proof of an inversion formula for a hyperelliptic integral that is not recorded by Ramanujan in his second notebook.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-024-00915-5