A note on S(t) and the zeros of the Riemann zeta-function
Let π S(t) denote the argument of the Riemann zeta-function at the point 1/2 + it. Assuming the Riemann hypothesis, we sharpen the constant in the best currently known bounds for S(t) and for the change of S(t) in intervals. We then deduce estimates for the largest multiplicity of a zero of the zeta...
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| Published in: | The Bulletin of the London Mathematical Society Vol. 39; no. 3; pp. 482 - 486 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford University Press
01.06.2007
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| ISSN: | 0024-6093, 1469-2120 |
| Online Access: | Get full text |
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