The prime number theorem and hypothesis H with lower-order terms

DOI10.1016/j.jnt.2014.01.022zbMath1297.11047OpenAlexW2004348490MaRDI QIDQ402620

Yangbo Ye, Timothy L. Gillespie

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.01.022

zbMATH Keywords

prime number theoremcuspidal representationautomorphic representationhypothesis HSelberg orthogonality

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Solvable base change and Rankin-Selberg convolutions ⋮ On the generalized Euler–Stieltjes constants for the Rankin–Selberg L-function

Cites Work

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• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• 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
• Hypothesis H and the prime number theorem for automorphic representations
• A proof of Selberg's orthogonality for automorphic \(L\)-functions
• A note on Fourier coefficients of cusp forms on GL n
• A Symplectic Test of the L-Functions Ratios Conjecture
• Zeros of Automorphic L-Functions and Noncyclic Base Change
• Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
• Selberg’s conjectures and Artin 𝐿-functions
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Applications of theL-functions ratios conjectures
• Selberg's orthogonality conjecture for automorphic L -functions
• The Power Series Coefficients of ξ(s)

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