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arXiv · 2604.10365

On the growth of friezes via theta functions

Pierre-Guy Plamondon·Salvatore Stella
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Abstract

We prove that the infinite friezes arising from the tubes of a given cluster algebra of acyclic affine type all have the same growth coefficients. Our proof uses identities satisfied by theta functions. This generalizes previous results in affine types~$ADE$ by several groups of authors.

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Pierre-Guy Plamondon, Salvatore Stella. 2026-04-11. On the growth of friezes via theta functions. https://arxiv.org/abs/2604.10365

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