Coefficient bounds for level 2 cusp forms
Paul Jenkins ; Kyle Pratt
Acta Arithmetica, Tome 168 (2015), p. 341-367 / Harvested from The Polish Digital Mathematics Library
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We give explicit upper bounds for the coefficients of arbitrary weight k, level 2 cusp forms, making Deligne’s well-known O(n(k-1)/2+ϵ) bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:286269 
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     title = {Coefficient bounds for level 2 cusp forms},
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     language = {en},
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Paul Jenkins; Kyle Pratt. Coefficient bounds for level 2 cusp forms. Acta Arithmetica, Tome 168 (2015) pp. 341-367. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa168-4-2/