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There is reason to expe
t that the 2k-th moment of the Riemann zeta
fun
tion
an be related to the spe
tral theory of GL(k) or GL(2k). The work
of Motohashi [27℄ supports the idea of seeki...
Automorphic forms are generalizations of periodic functions; they are functions on a group that
are invariant under a discrete subgroup. A natural way to arrange this invariance is by averaging.
Eis...