Geodesic
On the 4-norm of an automorphic form
Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1825-1852

Voir la notice de l'article provenant de la source EMS Press

We prove the optimal upper bound ∑f​∥f∥44​≪qε where f runs over an orthonormal basis of Maaß cusp forms of prime level q and bounded spectral parameter.
DOI : 10.4171/jems/405
Classification : 11-XX, 00-XX
Keywords: Lp-norm, triple product L-functions, character sums 
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     author = {Valentin Blomer},
     title = {On the 4-norm of an automorphic form},
     journal = {Journal of the European Mathematical Society},
     pages = {1825--1852},
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     year = {2013},
     doi = {10.4171/jems/405},
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Valentin Blomer. On the 4-norm of an automorphic form. Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1825-1852. doi: 10.4171/jems/405

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