A Conjecture for the Sixth Power Moment of the Riemann Zeta-function
نویسندگان
چکیده
In 1918 Hardy and Littlewood 2] proved that Z T 1 j(1=2 + it)j 2 dt T log T and in 1926 Ingham 4] showed that Z T 1 j(1=2 + it)j 4 dt 1 2 2 T log 4 T: In general, it is conjectured that if k > 0, then there exists a c k > 0 such that Z T 1 j(1=2 + it)j 2k dt c k T log k 2 T: No value has been suggested for c k if k is diierent from 0,1, or 2. In this paper, we present evidence to support the
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تاریخ انتشار 1998