Zero-density estimate of \(L\)-functions for cusp forms

DOI10.1016/j.jnt.2018.07.002zbMath1441.11117OpenAlexW2889422692MaRDI QIDQ1788100

Wei Zhang, Xiu Min Ren

Publication date: 8 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.07.002

zbMATH Keywords

Maass formautomorphic \(L\)-functionzero-density estimate

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (1)

Fourier coefficients at primes twisted with exponential functions

Cites Work

• Zero density of \(L\)-functions related to Maass forms
• A new zero-density result of \(L\)-functions attached to Maass forms
• Zero density for automorphic \(L\)-functions
• On sums of Fourier coefficients of cusp forms
• A zero-density theorem for the Riemann zeta-function
• Topics in multiplicative number theory
• Large values of Dirichlet polynomials II
• Large values of Dirichlet polynomials, III
• Zero-density estimate of L-functions attached to Maass forms
• Zero-density estimates for L-functions
• On the density of the zeros of the Dedekind Zeta-function
• Sums of coefficients of Hecke series
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• On the difference between consecutive primes
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