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The second moment of quadratic twists of modular $L$-functions
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classification
math.NT
keywords
asymptoticformulamodularmomentquadraticsecondtwistsbound
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abstract
We study the second moment of the central values of quadratic twists of a modular $L$-function. Unconditionally, we obtain a lower bound which matches the conjectured asymptotic formula, while on GRH we prove the asymptotic formula itself.
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