The average of L⁴-norms of holomorphic cusp forms

2012/10/02 by Rizwanur Khan, Khan, Rizwanur
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1210.0740

openalex publication_date 2012/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find the average value of the L⁴-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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