The shifted fourth moment of automorphic L-functions of prime power level
Olga Balkanova
Acta Arithmetica, Tome 172 (2016), p. 121-174 / Harvested from The Polish Digital Mathematics Library
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We prove an asymptotic formula for the fourth moment of automorphic L-functions of level pν, where p is a fixed prime number and ν → ∞. This is a continuation of work by Rouymi, who computed the asymptotics of the first three moments at a prime power level, and a generalization of results obtained for a prime level by Duke, Friedlander Iwaniec and Kowalski, Michel VanderKam.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286426 
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     author = {Olga Balkanova},
     title = {The shifted fourth moment of automorphic L-functions of prime power level},
     journal = {Acta Arithmetica},
     volume = {172},
     year = {2016},
     pages = {121-174},
     zbl = {06602750},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8165-4-2016}
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Olga Balkanova. The shifted fourth moment of automorphic L-functions of prime power level. Acta Arithmetica, Tome 172 (2016) pp. 121-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8165-4-2016/