The second moment of the symmetric square -functions.

Iwaniec, H.; Michel, P.

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Displaying similar documents to “The second moment of the symmetric square $L$ -functions.”

The cubic moment of central values of automorphic $L$ -functions.

Conrey, J.B., Iwaniec, H. (2000)

Annals of Mathematics. Second Series

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A larger GL 2 large sieve in the level aspect

Goran Djanković (2012)

Open Mathematics

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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.

On effective determination of symmetric-square lifts

Qingfeng Sun (2014)

Open Mathematics

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Let F be the symmetric-square lift with Laplace eigenvalue λ F (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.

The asymptotic distribution of exponential sums. I.

Patterson, S.J. (2003)

Experimental Mathematics

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Small eigenvalues of Laplacian for $Γ_{0} (N)$

Henryk Iwaniec (1990)

Acta Arithmetica

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An identity involving Dedekind sums and generalized Kloosterman sums

Le Huan, Jingzhe Wang, Tingting Wang (2012)

Czechoslovak Mathematical Journal

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The various properties of classical Dedekind sums $S (h, q)$ have been investigated by many authors. For example, Yanni Liu and Wenpeng Zhang: A hybrid mean value related to the Dedekind sums and Kloosterman sums, Acta Mathematica Sinica, 27 (2011), 435–440 studied the hybrid mean value properties involving Dedekind sums and generalized Kloosterman sums $K (m, n, r; q)$ . The main purpose of this paper, is using the analytic methods and the properties of character sums, to study the computational problem of...

A note on the mean value of the general Kloosterman sums

Weili Yao (2011)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.

Displaying similar documents to “The second moment of the symmetric square L -functions.”

The cubic moment of central values of automorphic L -functions.

A larger GL 2 large sieve in the level aspect

On effective determination of symmetric-square lifts

The asymptotic distribution of exponential sums. I.

Small eigenvalues of Laplacian for Γ 0 ( N )

An identity involving Dedekind sums and generalized Kloosterman sums

A note on the mean value of the general Kloosterman sums

Displaying similar documents to “The second moment of the symmetric square $L$ -functions.”

The cubic moment of central values of automorphic $L$ -functions.

Small eigenvalues of Laplacian for $Γ_{0} (N)$