L4-norms of Hecke newforms of large level

Jack Buttcane, Rizwanur Khan

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove a new upper bound for the $$L^4$$L4-norm of a holomorphic Hecke newform of large fixed weight and prime level $$q\rightarrow \infty $$q→∞. This is achieved by proving a sharp mean value estimate for a related $$L$$L-function on $$GL(6)$$GL(6).

Original languageEnglish
Pages (from-to)699-715
Number of pages17
JournalMathematische Annalen
Volume362
Issue number3-4
DOIs
Publication statusPublished - 23 Nov 2015
Externally publishedYes

    Fingerprint

ASJC Scopus subject areas

  • Mathematics(all)

Cite this