On the Moments of Hecke Series at Central Points Ii
نویسندگان
چکیده
We prove, in standard notation from spectral theory, the asymptotic formula (B > 0) ∑ κj≤T αjHj( 1 2 ) = ( T π ) 2 − BT log T +O(T (log T )), by using an approximate functional equation for Hj( 1 2 ) and the Bruggeman-Kuznetsov trace formula. We indicate how the error termmay be improved to O(T (log T )ε).
منابع مشابه
On the Moments of Hecke Series at Central Points
We prove, in standard notation from spectral theory, the following asymptotic formulas:
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