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A Riemann type integration and the fundamental theorem of calculus

✍ Scribed by Washek F. Pfeffer


Book ID
112908457
Publisher
Springer Milan
Year
1987
Tongue
Italian
Weight
999 KB
Volume
36
Category
Article
ISSN
0009-725X

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πŸ“œ SIMILAR VOLUMES


A logarithm type mean value theorem of t
✍ Xia-Qi Ding; Shao-Ji Feng πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 90 KB

For any integer K 2 and positive integer h, we investigate the mean value of |ΞΆ(Οƒ + it)| 2k Γ— log h |ΞΆ(Οƒ + it)| for all real number 0 < k < K and all Οƒ > 1 -1/K. In case K = 2, h = 1, this has been studied by Wang in [F.T. Wang, A mean value theorem of the Riemann zeta function, Quart. J. Math. Oxfo