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arxiv: 1603.03134 · v1 · pith:P57TBAHInew · submitted 2016-03-10 · 🧮 math.NT

A uniform asymptotic formula for the second moment of primitive L-functions on the critical line

classification 🧮 math.NT
keywords asymptoticformulal-functionslevelmomentsecondweightautomorphic
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We prove an asymptotic formula for the second moment of automorphic L-functions of even weight and prime power level. The error term is estimated uniformly in all parameters: level, weight, shift and twist.

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