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W3183791929 abstract "Assuming the Riemann Hypothesis, we provide explicit upper bounds for moduli of S(t), S1(t), and ζ(1/2+it) while comparing them with recently proven unconditional ones. As a corollary we obtain a conditional explicit bound on gaps between consecutive zeros of the Riemann zeta-function." @default.
W3183791929 created "2021-08-02" @default.
W3183791929 creator A5057840392 @default.
W3183791929 date "2022-02-01" @default.
W3183791929 modified "2023-09-30" @default.
W3183791929 title "On explicit estimates for S(t), S1(t), and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:mi>ζ</mml:mi><mml:mrow><mml:mo stretchy=true>(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>/</mml:mo><mml:mn>2</mml:mn><mml:mo linebreak=badbreak linebreakstyle=after>+</mml:mo><mml:mi mathvariant=normal>i</mml:mi><mml:mi>t</mml:mi><mml:mo stretchy=true>)</mml:mo></mml:mrow></mml:math> under the Riemann Hypothesis" @default.
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W3183791929 doi "https://doi.org/10.1016/j.jnt.2021.05.014" @default.
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