On the Chebotarev-Sato-Tate phenomenon

DOI10.1016/j.jnt.2018.09.010zbMath1461.11123OpenAlexW2896155684MaRDI QIDQ1627946

Peng-Jie Wong

Publication date: 3 December 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.09.010

zbMATH Keywords

automorphic \(L\)-functionsChebotarev-Sato-Tate distribution

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Galois representations (11F80) Density theorems (11R45)

Related Items (9)

A zero density estimate and fractional imaginary parts of zeros for L-functions ⋮ Selberg's orthogonality conjecture and symmetric power \(L\)-functions ⋮ Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms ⋮ Some density results on sets of primes for Hecke eigenvalues ⋮ On the local maxima behaviour of Hecke eigenvalues and its applications ⋮ Chebotarev-Sato-Tate distribution for abelian surfaces potentially of \(\mathrm{GL}_2\)-type ⋮ A note on the cancellations of sums involving Hecke eigenvalues ⋮ Effective forms of the Sato-Tate conjecture ⋮ The equidistribution of Fourier coefficients of half integral weight modular forms on the plane

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