rwg>I don't recall seeing special values of thetas at pi/3. After a long
sequence of "miraculous" simplifications,
pi - pi/3 pi - pi/3 theta (--, e ) = theta (--, %e ) 3 3 4 6 1/8 1 3 sqrt(sqrt(3) - 1) Gamma(-) 4 = ------------------------------- 5/4 3/4 2 pi Foo, pi pi 6 theta (--, q) = theta (--, q) = sqrt(3) eta(q ) 2 6 1 3 and we can do eta(e^-(pi sqrt r)) for probably any rational r. E.g., pi pi 5/8 3/2 1 - ------- - ------- 3 Gamma (-) pi sqrt(3) pi sqrt(3) 3 theta (--, e ) = theta (--, e ) = ---------------- 1 3 2 6 4/3 2 pi --rwg AUTOGENOTYPES GET ONE PAST YOU