Estimates of generalized Chebyshev function on \(\mathrm{GL}_m\)

DOI10.1007/S11464-012-0238-XzbMath1278.11059OpenAlexW2059807626MaRDI QIDQ692647

Shuai Zhai, Yan Qu

Publication date: 6 December 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0238-x

zbMATH Keywords

conductorexplicit formulaautomorphic \(L\)-functionChebyshev function

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)

Cites Work

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• The prime number theorem for automorphic \(L\)-functions for \(\text{GL}_m\)
• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• On Selberg's eigenvalue conjecture
• Hypothesis H and the prime number theorem for automorphic representations
• A large sieve density estimate near \(\sigma = 1\)
• Some consequences of the Riemann hypothesis
• Superposition of zeros of distinct L-functions

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