Small gaps in the spectrum of tori: asymptotic formulae

Valentin Blomer; Maksym Radziwiłł

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arXiv · 2108.11162

Small gaps in the spectrum of tori: asymptotic formulae

Valentin Blomer·Maksym Radziwiłł

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Abstract

We establish an asymptotic formula, uniformly down to the Planck scale, for the number of small gaps between the first N eigenvalues of the Laplacian on almost all flat tori and also on almost all rectangular flat tori.

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Valentin Blomer, Maksym Radziwiłł. 2021-08-25. Small gaps in the spectrum of tori: asymptotic formulae. https://arxiv.org/abs/2108.11162

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