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News/Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic
arxiv
PublishedJuly 15, 2026 at 4:00 AM
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Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic

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arXiv:2606.23044v2 Announce Type: replace-cross Abstract: Numbers have algebraic structure that standard neural embeddings often fail to expose. We introduce Prime Fourier Embeddings (PFE), which encode integers as prime-indexed (cos, sin) pairs derived from the harmonic analysis of Q, providing a p

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