C. Turnage-Butterbaugh

activity

20132026

most citedHilbert transforms and the equidistribution of zeros of polynomials

12 citations · 53 across the 21 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 2 cited

A note on small gaps between zeros of the Riemann zeta-function

D. A. Goldston, C. L. Turnage-Butterbaugh

Assuming the Riemann Hypothesis, we improve on previous results by proving there are infinitely many zeros of the Riemann zeta-function whose differences are smaller than 0.50412 t…

math.NT2019★ 1 cited

On a conjecture for $ℓ$ -torsion in class groups of number fields: from the perspective of moments

Lillian B. Pierce, Caroline L. Turnage-Butterbaugh, Melanie Matchett Wood

It is conjectured that within the class group of any number field, for every integer $ℓ \geq 1$ , the $ℓ$ -torsion subgroup is very small (in an appropriate sense, relative to…

A note on small gaps between zeros of the Riemann zeta-function

On a conjecture for ℓ-torsion in class groups of number fields: from the perspective of moments

On a conjecture for $ℓ$ -torsion in class groups of number fields: from the perspective of moments