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Evaluating Theta Derivatives with Rational Characteristics

Published 27 Apr 2016 in math.CV and math.NT | (1604.08195v2)

Abstract: We evaluate 35 different theta derivatives with rational characteristics using the method of Matsuda, in which the logarithmic derivatives at $z=0$ of the triple product expansions of the associated theta functions become linear combinations of known theta series of weight 1.

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