TY - JOUR
T1 - Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line
AU - Arguin, Louis Pierre
AU - Belius, David
AU - Bourgade, Paul
AU - Radziwiłł, Maksym
AU - Soundararajan, Kannan
N1 - Publisher Copyright:
© 2018 Wiley Periodicals, Inc.
PY - 2019/3
Y1 - 2019/3
N2 - We prove the leading order of a conjecture by Fyodorov, Hiary, and Keating about the maximum of the Riemann zeta function on random intervals along the critical line. More precisely, as T → ∞ for a set of t ∊ [T, 2T] of measure (1–o(1)) T, we have (Formula presented.)
AB - We prove the leading order of a conjecture by Fyodorov, Hiary, and Keating about the maximum of the Riemann zeta function on random intervals along the critical line. More precisely, as T → ∞ for a set of t ∊ [T, 2T] of measure (1–o(1)) T, we have (Formula presented.)
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U2 - 10.1002/cpa.21791
DO - 10.1002/cpa.21791
M3 - Article
AN - SCOPUS:85053428438
SN - 0010-3640
VL - 72
SP - 500
EP - 535
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 3
ER -