On the integral of the fourth Jacobi theta function

István Mező

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arXiv · 1106.1042

On the integral of the fourth Jacobi theta function

István Mező

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Abstract

We generalize the Raabe-formula to the $q$-loggamma function. As a consequence, we get that the integral of the logarithm of the fourth Jacobi theta function between its least imaginary zeros is connected to the partition function and the Riemann zeta function.

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István Mező. 2011-06-06. On the integral of the fourth Jacobi theta function. https://arxiv.org/abs/1106.1042

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