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Dixon’s -series and identities involving harmonic numbers and the Riemann zeta function

✍ Scribed by Xiaojing Chen; Wenchang Chu


Book ID
108114179
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
528 KB
Volume
310
Category
Article
ISSN
0012-365X

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The Riemann Zeta Function and the Invert
✍ R.K. Bhaduri; Avinash Khare; S.M. Reimann; E.L. Tomusiak 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 1022 KB

The Riemann zeta function has phase jumps of ? every time it changes sign as the parameter t in the complex argument s=1Â2+it is varied. We show analytically that as the real part of the argument is increased to \_>1Â2, the memory of the zeros fades only gradually through a Lorentzian smoothing of t