The average of $L^4$ -norms of holomorphic cusp forms

preprint2013arXivOpen access

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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The average of $L^4$ -norms of holomorphic cusp forms

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The average of L4L^4L4-norms of holomorphic cusp forms

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The average of $L^4$ -norms of holomorphic cusp forms