Special values of Jacobi's first theta function

Details Special values of Jacobi's first theta function Special values of Jacobi's first theta function

2011-06-14

arxiv.org/abs/1106.2703v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Based on R. W. Gosper's $q$-trigonometry and his conjectures, we give new
formulae for some specific values of the Jacobi theta function of index one.
The calculations strenghten Gosper's conjecture on his addition formulas.

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