Selberg's integral for Ramanujan automorphic representation

DOI10.1007/s10114-011-8122-2zbMath1322.11052OpenAlexW2406621942MaRDI QIDQ475755

Qing Feng Sun

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8122-2

zbMATH Keywords

automorphic \(L\)-functionsprimes in short intervalsSelberg's integral

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Distribution of primes (11N05)

Cites Work

• On the fractional parts of {x/n} and related sequences. II, III
• La conjecture de Weil. I
• Selberg's normal density theorem for automorphic \(L\)-functions for \(\mathrm{GL}_m\)
• A large sieve density estimate near \(\sigma = 1\)
• Some consequences of the Riemann hypothesis
• On the Waring–Goldbach Problem: Exceptional Sets for Sums of Cubes and Higher Powers
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