The error term in the truncated Perron formula for the logarithm of an L-function

DOI10.4153/s0008439523000218arXiv2206.01391MaRDI QIDQ6060863

Jeffrey C. Lagarias, Stephan Ramon Garcia, Ethan Simpson Lee

Publication date: 6 November 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01391

zbMATH Keywords

\(L\)-functionzeta functionLambert functionPerron formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)

Cites Work

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• On the Lambert \(w\) function
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• Large character sums
• An explicit density estimate for Dirichlet $L$-series
• The large sieve
• The Distribution of Prime Numbers
• Extreme residues of Dedekind zeta functions
• On a result of Littlewood concerning prime numbers
• On the error term in the explicit formula of Riemann–von Mangoldt

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