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· 2026 · arXiv 2603.14654

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Arithmetic Progression-Free Subset-Sum Sets

math.CO · 2026-06-23 · unverdicted · novelty 7.0

New lower bounds on g_3(n) via central trinomial coefficients and general exponential lower bounds for g_k(n) (k≥4), paired with upper exponential rates from digit constructions on nearly-regular graphs.

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  • Arithmetic Progression-Free Subset-Sum Sets math.CO · 2026-06-23 · unverdicted · none · ref 5

    New lower bounds on g_3(n) via central trinomial coefficients and general exponential lower bounds for g_k(n) (k≥4), paired with upper exponential rates from digit constructions on nearly-regular graphs.