Coefficient bounds for level 2 cusp forms

• Autorzy: Paul Jenkins , Kyle Pratt
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11F30: Fourier coefficients of automorphic forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 168
• Numer: 4
• Strony: 341-367

Daty

wydano

2015

Twórcy

autor

Paul Jenkins

• Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A.

autor

Kyle Pratt

• Department of Mathematics, The University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A.

Identyfikatory

DOI

10.4064/aa168-4-2