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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...
Eisenstein Series, Alternative Modular Bases and Approximations of $1/\pi$
Eisenstein Series Alternative Modular Bases
2010/11/22
In this article using the theory of Eisenstein series, we give rise to the complete evaluation of two Gauss hypergeometric functions. Moreover we evaluate the modulus of each of these functions and t...