Geodesic
Coefficient bounds for level 2 cusp forms
Paul Jenkins 1   ; Kyle Pratt 2
1 Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
2 Department of Mathematics The University of Illinois at Urbana-Champaign Urbana, IL 61801, U.S.A.
Acta Arithmetica, Tome 168 (2015) no. 4, pp. 341-367 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $O(n^{(k-1)/{2}+\epsilon })$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.
DOI : 10.4064/aa168-4-2
Keywords: explicit upper bounds coefficients arbitrary weight nbsp level cusp forms making delignes well known k epsilon bound precise derive asymptotic formulas explicit upper bounds coefficients certain level modular functions

Paul Jenkins  1   ; Kyle Pratt  2

1 Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
2 Department of Mathematics The University of Illinois at Urbana-Champaign Urbana, IL 61801, U.S.A. 
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Paul Jenkins; Kyle Pratt. Coefficient bounds for level 2 cusp forms. Acta Arithmetica, Tome 168 (2015) no. 4, pp. 341-367. doi: 10.4064/aa168-4-2

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