Zero correlation with lower-order terms for automorphic L-functions

DOI10.1142/S1793042116500032zbMath1404.11067MaRDI QIDQ5743843

Yangbo Ye, Timothy L. Gillespie

Publication date: 8 February 2016

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

zbMATH Keywords

automorphic \(L\)-functionsSelberg orthogonalityzeros of \(L\)-functions\(n\)-level correlation of zeros of \(L\)-functionslower-order terms of \(n\)-level correlation of zeros of \(L\)-functions

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 (1)

Solvable base change and Rankin-Selberg convolutions

Cites Work

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• Correlation of zeros of automorphic \(L\) -functions
• Triple correlation of the Riemann zeros
• Conducteur des représentations du groupe linéaire
• Hypothesis H and the prime number theorem for automorphic representations
• A note on Fourier coefficients of cusp forms on GL n

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