Selberg-type zero-density estimates for twisted GL2 L-functions yield a central limit theorem for the argument function S(t,f⊗χ) as the character modulus q grows.
Cram´ er,¨Uber die Nulistellen der Zetafunktion
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A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application
Selberg-type zero-density estimates for twisted GL2 L-functions yield a central limit theorem for the argument function S(t,f⊗χ) as the character modulus q grows.