Displaying similar documents to “A larger GL 2 large sieve in the level aspect”

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.

On the mean value of a sum analogous to character sums over short intervals

Ren Ganglian, Zhang Wenpeng (2008)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to study the mean value properties of a sum analogous to character sums over short intervals by using the mean value theorems for the Dirichlet L-functions, and to give some interesting asymptotic formulae.

A hybrid mean value related to certain Hardy sums and Kloosterman sums

Xiaoyan Guo, Wenpeng Zhang (2011)

Czechoslovak Mathematical Journal

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The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.