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The sum involving derivative of over simple zeros

✍ Scribed by M.Z. Garaev; A. Sankaranarayanan


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
127 KB
Volume
117
Category
Article
ISSN
0022-314X

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✦ Synopsis


In this paper, we study the lower bound for the sum of the absolute value of inverse of the derivative of the Riemann zeta-function running over it's zeros assuming only that all the zeros of (s) are simple.


πŸ“œ SIMILAR VOLUMES


Simple zeros and discrete moments of the
✍ RamΕ«nas Garunks˘tis; JΓΆrn Steuding πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 165 KB

We prove unconditional upper bounds for the second and fourth discrete moment of the first derivative of the zeta-function at its simple zeros on the critical line.