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A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes

Drew Duncan

Source record

Source: arXiv

Published: Oct 15, 2026

arXiv: 2610.22427

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Source abstract

We present a brief, elementary proof of a striking theorem by I. Chowla on the addition of residue classes (1937) which generalizes the famous result of Cauchy and Davenport to residue classes modulo a composite.

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A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes — Mathematical Frontier Network