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arXiv · 2502.14056

Quasimodular Asymptotics of Spherical Integrals

Jonathan Novak
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Abstract

We show that the spherical integral of the Circular Unitary Ensemble converges in expectation to Euler's generating function for integer partitions, and that subleading corrections to this high-dimensional limit are quasimodular forms.

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Jonathan Novak. 2025-02-19. Quasimodular Asymptotics of Spherical Integrals. https://arxiv.org/abs/2502.14056

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