EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 76(90), pp. 73–79 (2004)

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REMARKS ON THE LINDELÖF HYPOTHESIS

Yuichi Kamiya

19-4 Nishinobo Daiwa-cho, Okazaki-city Aichi 444-0931, Japan

Abstract: We give two remarks on the Lindelöf hypothesis. The first remark is that the Lindelöf hypothesis can be reformulated in the setting of functional analysis. As the second remark we give an estimate for a function related to the Riemann zeta-function under the Lindelöf hypothesis.

Keywords: the Riemann zeta-function; Lindelöf hypothesis; Banach algebra; functional

Classification (MSC2000): 11M06; 47B48

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Electronic fulltext finalized on: 17 Dec 2004. This page was last modified: 9 Feb 2005.

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