The second shifted moment of the Riemann zeta function

Details The second shifted moment of the Riemann zeta function The second shifted moment of the Riemann zeta function

2011-11-03

arxiv.org/abs/1111.0925v1

Int. J. Number Theory 6 (2010), no. 8, 1933--1944

Mathematics

Number Theory

10 pages

Scientific paper

We prove an asymptotic formula for the second moment (up to height $T$) of
the Riemann zeta function with two shifts. The case we deal with is where the
real parts of the shifts are very close to zero and the imaginary parts can
grow up to $T^{2-\epsilon}$, for any $\epsilon>0.$

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