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arxiv: 0907.4747 · v1 · pith:MD7NTBD3new · submitted 2009-07-27 · 🧮 math.NT

The second moment of quadratic twists of modular L-functions

classification 🧮 math.NT
keywords asymptoticformulamodularmomentquadraticsecondtwistsbound
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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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