Adam J Harper

activity

20102026

most citedSharp conditional bounds for moments of the Riemann zeta function

57 citations · 242 across the 23 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 29 cited

On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture

Adam J. Harper

We investigate the ``partition function'' integrals $\int_{- 1/2}^{1/2} ∣ ζ (1/2 + i t + ih) ∣^{2} d h$ for the critical exponent 2, and the local maxima $\max_{|h| \leq 1/2} |ζ(1/2 + it +…

math.NT2019★ 8 cited

The Riemann zeta function in short intervals [after Najnudel, and Arguin, Belius, Bourgade, Radziwiłł, and Soundararajan]

Adam J. Harper

This is the text to accompany my Bourbaki seminar from 30th March 2019, on the maximum size of the Riemann zeta function in "almost all" intervals of length 1 on the critical line.…