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20202023
most citedKhovanskii's theorem and effective results on sumset structure

2 citations · 3 across the 4 of their papers we have counts for

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math.NT2023

Freezing transition and moments of moments of the Riemann zeta function

Michael J. Curran

Moments of moments of the Riemann zeta function, defined by \[ \text{MoM}_T (k,β) = \frac{1}{T} \int_T^{2T} \left( \int_{ |h|\leq (\log T)^θ}|ζ(\tfrac{1}{2} + i t + ih)|^{2β} dh \r…

math.NT2021

Upper bounds for fractional joint moments of the Riemann zeta function

Michael J. Curran

We establish upper bounds for the joint moments of the power of the Riemann zeta function with the power of its derivative for a…

math.NT2020★ 2 cited

Khovanskii's theorem and effective results on sumset structure

Michael J. Curran, Leo Goldmakher

A remarkable theorem due to Khovanskii asserts that for any finite subset of an abelian group, the cardinality of the -fold sumset grows like a polynomial for all suffi…