The cancellation of Fourier coefficients of cusp forms over different sparse sequences
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Publication:381066
DOI10.1007/s10114-013-2706-yzbMath1330.11028OpenAlexW2103433902MaRDI QIDQ381066
Publication date: 15 November 2013
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-013-2706-y
Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)
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Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms ⋮ Unnamed Item ⋮ Power moments of automorphic \(L\)-functions related to Maass forms for \(\mathrm{SL}_3 (\mathbb{Z})\) ⋮ On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms ⋮ On the distribution of Hecke eigenvalues over Piatetski-Shapiro prime twins ⋮ Divisor problems related to Hecke eigenvalues in three dimensions
Cites Work
- Unnamed Item
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- Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
- Local coefficients as Artin factors for real groups
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Cuspidality of symmetric powers with applications.
- Fundamental properties of symmetric square \(L\)-functions. I.
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- Zeros of principal \(L\)-functions and random matrix theory
- On a sum involving Fourier coefficients of cusp forms
- Behavior of automorphic \(L\)-functions at the center of the critical strip
- Functional equations with multiple gamma factors and the average order of arithmetical functions
- SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
- Investigation of interaction between shock waves and flow disturbances with different shock-capturing schemes
- Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
- On Certain L-Functions
- On Euler Products and the Classification of Automorphic Representations I
- On Euler Products and the Classification of Automorphic Forms II
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- The average behavior of Fourier coefficients of cusp forms over sparse sequences
- A density theorem on automorphic $L$-functions and some applications