DATES:
- Part 1 - Tuesday, October 5 (2010), at 1:55pm
- Part 2 - Tuesday, October 12 (2010), at 1:55pm
- Part 3 - Tuesday, October 19 (2010), at 1:55pm
- Part 4 - Tuesday, October 26 (2010), at 1:55pm
PLACE: LIT 368
SPEAKER:
Li C. Shen
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TITLE:
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A note on some Ramanujan identities involving
the Eisenstein series and the hypergeometric function F(1/6,5/6;1;z)
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ABSTRACT:
The connection between the Jacobi's elliptic functions and the hypergeometric series F(1/2,1/2;1;z)
is well known and classical. However, a similar relation between the Weierstrauss elliptic function and the
hypergeometric function does not seem to be known, at least to my knowledge.
The aim of the talk is to present a natural analogue of such relation from the perspective
of differential equation of a certain kind. A set of Ramanujan identities involving
the Eisenstein series and the hypergeometric function F(1/6,5/6;1;z)
follows naturally as immediate corollaries.
The talk is very elementary and assessible to every one.
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