We write to mean .

Hoffstein and Lockhart [
MR 2000j:11071] prove an -result
for quadratic twists of the -function associated to a
holomorphic newform on :

for squarefree , for some .

It would be interesting to prove -results for the collection of all Dirichlet -functions , mod , and for twists by all characters of , for a cusp form.

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