# L4-norms of Hecke newforms of large level

Jack Buttcane, Rizwanur Khan

Research output: Contribution to journalArticle

2 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 language English 699-715 17 Mathematische Annalen 362 3-4 https://doi.org/10.1007/s00208-014-1142-3 Published - 23 Nov 2015 Yes

L-function
Mean Value
Upper bound
Norm
Estimate

### ASJC Scopus subject areas

• Mathematics(all)

### Cite this

L4-norms of Hecke newforms of large level. / Buttcane, Jack; Khan, Rizwanur.

In: Mathematische Annalen, Vol. 362, No. 3-4, 23.11.2015, p. 699-715.

Research output: Contribution to journalArticle

Buttcane, Jack ; Khan, Rizwanur. / L4-norms of Hecke newforms of large level. In: Mathematische Annalen. 2015 ; Vol. 362, No. 3-4. pp. 699-715.
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