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Bounding(S(t))and(S_1(t))on the Riemann hypothesis

✍ Scribed by Carneiro, Emanuel; Chandee, Vorrapan; Milinovich, Micah B.


Book ID
120425284
Publisher
Springer
Year
2012
Tongue
English
Weight
341 KB
Volume
356
Category
Article
ISSN
0025-5831

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Let \(\rho(x)\) be the fractional part of \(x, B\) is the linear space of functions \(\sum_{1 \leqslant k \leqslant n} a_{k} \rho\left(\theta_{k} / x\right), \theta_{k} \in(0,1], \sum a_{k} \theta_{k}=0, n\) any positive integer. For \(p \in(1,2]\) Beurling proved that \(\zeta(s) \neq 0\) in \(\math