RAMANUJAN’S LOST
RAMANUJAN’S LOST
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通讯作者：
Younseo Choi
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作者：
Younseo Choi
. Ramanujan’s lost notebook contains many results on mock theta functions. In particular, the lost notebook contains eight identities for tenth order mock theta functions. Previously the author proved the (cid:12)rst six of Ra-manujan’s tenth order mock theta function identities. It is the purpose of this paper to prove the seventh and eighth identities of Ramanujan’s tenth order mock theta function identities which are expressed by mock theta functions and a de(cid:12)nite integral. L. J. Mordell’s transformation formula for the de(cid:12)nite integral plays a key role in the proofs of these identities. Also, the properties of modular forms are used for the proofs of theta function identities.
