[math-fun] eta as theta
oo pi 1/6 /===\ Theta (--, q ) 1/24 | | k 2 6 eta(q) := q | | (1 - q ) = ---------------- . | | sqrt(3) k = 1 This can't be new. Why isn't it more prevalent? Instead I've been using a bletcherous Thetaprime_1(0,sqrt(q)) for (q;q)_oo in the q-Gamma/q-factorial reflection (and q-sin) formulae. --rwg
oo pi 1/6 /===\ Theta (--, q ) 1/24 | | k 2 6 eta(q) := q | | (1 - q ) = ---------------- . | | sqrt(3) k = 1
This can't be new. Why isn't it more prevalent?
John McKay just wrote
This is on page 112 of Weber III. [I asked Oliver Atkin] As expected. But my question stands. Seems to me it deserves a mention in BHS, e.g. --rwg
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R. William Gosper