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Large Gaps Between Zeros of the Zeta-Function on the Critical Line and Moment Conjectures from Random Matrix Theory

✍ Scribed by Rasa Steuding, Jörn Steuding


Book ID
120888078
Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
190 KB
Volume
8
Category
Article
ISSN
1617-9447

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The Riemann zeta-function and moment con
✍ Jörn Steuding 📂 Article 📅 2009 🏛 SP Versita 🌐 English ⚖ 529 KB

## Abstract On the basis of the Random Matrix Theory-model several interesting conjectures for the Riemann zeta-function were made during the recent past, in particular, asymptotic formulae for the 2kth continuous and discrete moments of the zeta-function on the critical line, $$ \frac{1} {T}\int\l