# A larger GL 2 large sieve in the level aspect

Open Mathematics (2012)

- Volume: 10, Issue: 2, page 748-760
- ISSN: 2391-5455

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topGoran Djanković. "A larger GL 2 large sieve in the level aspect." Open Mathematics 10.2 (2012): 748-760. <http://eudml.org/doc/269440>.

@article{GoranDjanković2012,

abstract = {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.},

author = {Goran Djanković},

journal = {Open Mathematics},

keywords = {Orthogonality; Large sieve; Hecke eigenvalues; Holomorphic cusp forms; orthogonality; large sieve; holomorphic cusp forms},

language = {eng},

number = {2},

pages = {748-760},

title = {A larger GL 2 large sieve in the level aspect},

url = {http://eudml.org/doc/269440},

volume = {10},

year = {2012},

}

TY - JOUR

AU - Goran Djanković

TI - A larger GL 2 large sieve in the level aspect

JO - Open Mathematics

PY - 2012

VL - 10

IS - 2

SP - 748

EP - 760

AB - 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.

LA - eng

KW - Orthogonality; Large sieve; Hecke eigenvalues; Holomorphic cusp forms; orthogonality; large sieve; holomorphic cusp forms

UR - http://eudml.org/doc/269440

ER -

## References

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