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Proceedings of the London Mathematical Society Advance Access published online on November 27, 2006
Proceedings of the London Mathematical Society, doi:10.1112/plms/pdl006
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© 2006 London Mathematical Society

Tenth Order Mock Theta Functions in Ramanujan's Lost Notebook III

Youn-Seo Choi

Korea Institute for Advanced Study, 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul 130-722, Korea, y-choi2{at}kias.re.kr

Received 7 July 2004. Revision received 21 February 2006.

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 six of the eight tenth order mock theta function identities. It is the purpose of this paper to prove the fifth and sixth identities of Ramanujan's tenth order mock theta functions. The properties of modular forms are used for the proofs of theta function identities.


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