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Reciprocals of Subsum Polynomials

math.NT · 2026-05-11 · unverdicted · novelty 6.0

Introduces subsum polynomials sp(λ, x) = ∏(1 + x^λi) for partitions λ and studies the sum of their reciprocals over partitions of n, proving arithmetic properties and combinatorial connections.

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  • Reciprocals of Subsum Polynomials math.NT · 2026-05-11 · unverdicted · none · ref 4

    Introduces subsum polynomials sp(λ, x) = ∏(1 + x^λi) for partitions λ and studies the sum of their reciprocals over partitions of n, proving arithmetic properties and combinatorial connections.