# The Ramanujan identities under modular substitutions

@article{Rademacher1942TheRI,
title={The Ramanujan identities under modular substitutions},
journal={Transactions of the American Mathematical Society},
year={1942},
volume={51},
pages={609-636}
}
• Published 1942
• Mathematics
• Transactions of the American Mathematical Society
they appear in a form which suggests certain group-theoretical considerations, similar to those employed by Hecke in his theory of modular forms. In this way we transform the identities into new ones which are noteworthy because of the occurrence of the Legendre symbol and which, by a simple further argument, lead also to a proof of (1.1) and (1.2). An analogous identity for the modulus 13, given by Zuckerman, can be treated in the same way. G. N. Watson and H. S. Zuckerman have also derived… Expand
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