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Multiple sums with the M\"obius function

math.NT · 2025-06-10 · accept · novelty 6.0

Nontrivial, logarithmically strong bounds are proved for bilinear Möbius sums over solutions to a broad class of additive equations, including Möbius analogues of the ternary Goldbach problem and a small-variable variant.

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  • Multiple sums with the M\"obius function math.NT · 2025-06-10 · accept · none · ref 6

    Nontrivial, logarithmically strong bounds are proved for bilinear Möbius sums over solutions to a broad class of additive equations, including Möbius analogues of the ternary Goldbach problem and a small-variable variant.