The Li criterion and the Riemann hypothesis for the Selberg class. II
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Publication:963009
DOI10.1016/J.JNT.2009.08.012zbMath1188.11044OpenAlexW2090793615MaRDI QIDQ963009
Publication date: 8 April 2010
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.012
Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)
Related Items (9)
Centralized variant of the Li criterion on functions fields ⋮ Li's criterion and the Riemann hypothesis for function fields ⋮ On asymptotic behavior of generalized Li coefficients in the Selberg class ⋮ A computational approach to the generalized Riemann hypothesis ⋮ Unnamed Item ⋮ On the Li coefficients for the Hecke \(L\)-functions ⋮ Evaluation of the Li coefficients on function fields and applications ⋮ Explicit zero-free regions and a $\tau$-Li-type criterion ⋮ Explicit formula on function fields and application: Li coefficients
Cites Work
- Unnamed Item
- A survey of the Selberg class of \(L\)-functions. I
- Li's criterion and the Riemann hypothesis for the Selberg class
- Corrigendum and addendum to: Li's criterion and the Riemann hypothesis for the Selberg class
- Complements to Li's criterion for the Riemann Hypothesis
- The positivity of a sequence of numbers and the Riemann hypothesis
- Explicit formulas for Dirichlet and Hecke \(L\)-functions
- Zeros of principal \(L\)-functions and random matrix theory
- Sharpenings of Li's criterion for the Riemann hypothesis
- Li coefficients for automorphic \(L\)-functions
- Toward verification of the Riemann hypothesis: application of the Li criterion
- Axiomatic Theory of L-Functions: the Selberg Class
- An explicit formula and estimations for Hecke L-functions: Applying the Li criterion
- Distinct zeros of functions in the Selberg class
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