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arxiv: 1210.0740 · v3 · pith:L6NR2VVTnew · submitted 2012-10-02 · 🧮 math.NT

The average of L⁴-norms of holomorphic cusp forms

classification 🧮 math.NT
keywords averagecuspformsholomorphicweightdyadicerrorfind
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We find the average value of the $L^4$-norm of holomorphic Hecke cusp forms of weight within a dyadic interval, up to an error which saves a power of the weight.

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