A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line (Q511436)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line |
scientific article |
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A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line (English)
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15 February 2017
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The authors obtain an asymptotic formula for the second moment of a family of automorphic \(L\)-functions associated to primitive forms of even weight and prime power level. As an application, they estimate the error term uniformly in level, weight, shift, and twist.
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primitive \(L\)-functions
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moments
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0.91452265
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0.8955331
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0.89374876
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0.8876309
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0.87833416
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0.8760714
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0.8719462
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