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Correlations of error terms for weighted prime counting functions

math.NT · 2025-07-17 · unverdicted · novelty 7.0

The paper proves equivalences between the Riemann hypothesis and persistent inequalities of normalized error terms in weighted prime counting functions, and computes conditional logarithmic densities of sign agreements such as ≈0.9865 for specific pairs.

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  • Correlations of error terms for weighted prime counting functions math.NT · 2025-07-17 · unverdicted · none · ref 4

    The paper proves equivalences between the Riemann hypothesis and persistent inequalities of normalized error terms in weighted prime counting functions, and computes conditional logarithmic densities of sign agreements such as ≈0.9865 for specific pairs.