A larger GL 2 large sieve in the level aspect

• Autorzy: Goran Djanković
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the orthogonality of Fourier coefficients of holomorphic cusp forms in the sense of large sieve inequality. We investigate the family of GL 2 cusp forms modular with respect to the congruence subgroups Γ1(q), with additional averaging over the levels q ∼ Q. We obtain the orthogonality in the range N ≪ Q 2−δ for any δ > 0, where N is the length of linear forms in the large sieve.

Słowa kluczowe

EN

Orthogonality; Large sieve; Hecke eigenvalues; Holomorphic cusp forms

Kategorie tematyczne

• 11F30: Fourier coefficients of automorphic forms
• 11F11: Holomorphic modular forms of integral weight
• 11F03: Modular and automorphic functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 748-760

Daty

wydano

2012-04-01

online

2012-01-18

Twórcy

autor

Goran Djanković

• University of Belgrade

Bibliografia

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• [8] Oberhettinger F., Tables of Bessel Transforms, Springer, New York-Heidelberg, 1972 http://dx.doi.org/10.1007/978-3-642-65462-6
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Identyfikatory

DOI

10.2478/s11533-011-0125-9