A Hilbert-Schmidt integral operator and the Weil distribution

DOI10.1007/s11425-022-1985-0OpenAlexW4308571214MaRDI QIDQ2679069

Xian-Jin Li

Publication date: 18 January 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-022-1985-0

zbMATH Keywords

eigenvaluepositivityexplicit formulatrace of operator

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Integral operators (47G10)

Cites Work

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• On a representation of the idele class group related to primes and zeros of \(L\)-functions
• Traceable integral kernels on countably generated measure spaces
• On the inequality of Castelnuovo-Severi
• Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
• Remarks on Weil's quadratic functional in the theory of prime numbers. I
• On the explicit formula related to Riemann's zeta-function

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