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Note on a sum involving the divisor function

math.NT · 2025-05-03 · conditional · novelty 4.0

For a sum of the divisor function over rounded quotients x/n^c, this note proves an asymptotic formula with an error exponent that improves Feng's estimate for all c > 2/9.

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  • Note on a sum involving the divisor function math.NT · 2025-05-03 · conditional · none · ref 5

    For a sum of the divisor function over rounded quotients x/n^c, this note proves an asymptotic formula with an error exponent that improves Feng's estimate for all c > 2/9.