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Extreme values of central $L$-derivatives and heights of Heegner points
Using Soundararajan's resonance method, we obtain extreme values of the central derivatives \[ L^{(r)}(1/2,f\otimesχ_d), \] where $f$ is a normalized newform and $χ_d$ ranges over primitive real characters associated with negative fundamental discriminants. The twisted first moment estimate used in
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