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- W2897101947 abstract "On pages 392 − 393 of his second note book Ramanujan defined J-invariant and recorded 14 values of Jn leaving as J99 = · · · . All these values have been proved by using known values of Ramanujan-Weber class invariant Gn. Motivated by this, in this paper we establish modular relations connecting J-invariant Jn with five other J-invariants Jr 2n for r = 3, 5, 7, 11, 13. As an pplication, we find several explicit evaluations of Jn for different values of n. At last we give some relations connecting Ln and Rn for different values of n, where Ln and Rn represent Eisenstein series." @default.
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- W2897101947 date "2016-01-01" @default.
- W2897101947 modified "2023-09-23" @default.
- W2897101947 title "Modular relations for J-invariant and explicit evaluations." @default.
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