Modularity gap for Eisenstein series

DOI10.3792/PJAA.86.79zbMath1214.11098OpenAlexW2056829101MaRDI QIDQ989433

Shun Shimomura

Publication date: 20 August 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.79

zbMATH Keywords

Eisenstein serieszeta functionsmodularity gapRamanujan \(q\)-series

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (1)

The chiral ring of gauge theories in eight dimensions

Cites Work

• Multiple Eisenstein series and multiple cotangent functions
• Limit values of Eisenstein series and multiple cotangent functions
• Diophantine problems for \(q\)-zeta values
• Derivatives of Dedekind sums and their reciprocity law.
• Linear and algebraic independence of \(q\)-zeta values
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• Unnamed Item

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