Zero density for automorphic \(L\)-functions

DOI10.1016/j.jnt.2013.05.012zbMath1297.11106OpenAlexW1994168796MaRDI QIDQ740918

Yangbo Ye, Deyu Zhang

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.05.012

zbMATH Keywords

Riemann zeta functioncusp formMaass formautomorphic \(L\)-functionzero density\(\mathrm{SL}_{2}(\mathbb Z)\)

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items

On exponential sums involving Fourier coefficients of cusp forms over primes ⋮ \(\Omega\)-result for the index of composition of an integral ideal ⋮ Zero density estimates for automorphic \(L\)-functions of \(\mathrm{GL}_m\) ⋮ Power moments of automorphic \(L\)-functions related to Maass forms for \(\mathrm{SL}_3 (\mathbb{Z})\) ⋮ The third-power moment of the Riesz mean error term of symmetric square \(L\)-function ⋮ Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase ⋮ On the distribution of Hecke eigenvalues over Piatetski-Shapiro prime twins ⋮ Zero-density estimate of \(L\)-functions for cusp forms ⋮ Divisor problems related to Hecke eigenvalues in three dimensions ⋮ Further improvement on bounds for L-functions related to GL(3) ⋮ Higher power moments of symmetric square \(L\)-function

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