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Evaluating theta derivatives with rational characteristics

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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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Authors and Affiliations

  1. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmund Safra Campus, 91904, Jerusalem, Israel

    Shaul Zemel

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  1. Shaul Zemel
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Correspondence to Shaul Zemel.

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Dedicated to the memory of my grandfather, Isaac Zemel.

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Zemel, S. Evaluating theta derivatives with rational characteristics. Ramanujan J 50, 367–391 (2019). https://doi.org/10.1007/s11139-018-0099-3

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  • DOI: https://doi.org/10.1007/s11139-018-0099-3

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