Some density results on sets of primes for Hecke eigenvalues
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Publication:2666132
DOI10.1155/2021/2462693zbMath1477.11080OpenAlexW3186315452MaRDI QIDQ2666132
Shu Luo, Aiyue Zou, Huixue Lao
Publication date: 22 November 2021
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/2462693
Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
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- Asymptotics for cuspidal representations by functoriality from \(\mathrm{GL}(2)\)
- Shifted convolution sums of Fourier coefficients with divisor functions
- Zero density estimates for automorphic \(L\)-functions of \(\mathrm{GL}_m\)
- Level raising and symmetric power functoriality. II
- Automorphy of \(\mathrm{Symm}^5(\mathrm{GL}(2))\) and base change
- Level-raising and symmetric power functoriality. III.
- Remark on the paper ``On products of Fourier coefficients of cusp forms
- A family of Calabi-Yau varieties and potential automorphy. II.
- The sixth and eighth moments of Fourier coefficients of cusp forms
- On the Chebotarev-Sato-Tate phenomenon
- Higher-power moments of Fourier coefficients of holomorphic cusp forms for the congruence subgroup \(\varGamma_0(N)\)
- Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms
- Power moments of Hecke eigenvalues for congruence group
- Mean value estimates of the coefficients of product $L$-functions
- La conjecture de Weil. I
- Cuspidality of symmetric powers with applications.
- 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 comparing Hecke eigenvalues of cusp forms
- Some problems involving Hecke eigenvalues
- Comparing Hecke eigenvalues of newforms
- Level-raising and symmetric power functoriality, I
- Ω-RESULT ON COEFFICIENTS OF AUTOMORPHIC L-FUNCTIONS OVER SPARSE SEQUENCES
- On modular signs
- SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS
- On the number of dominating Fourier coefficients of two newforms
- On signs of Fourier coefficients of cusp forms
- 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 ${\rm GL}(3)$
- On the coefficients of symmetric power L-functions
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Comparing Hecke coefficients of automorphic representations
- DISTRIBUTION OF HECKE EIGENVALUES OF NEWFORMS IN SHORT INTERVALS
- Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for SL(m, ℤ)
- The distribution of Fourier coefficients of cusp forms over sparse sequences
- A density theorem on automorphic $L$-functions and some applications
- On general divisor problems involving Hecke eigenvalues
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