Rational functions, cotangent sums and Eichler integrals

DOI10.1007/s40993-021-00250-4zbMath1476.11105OpenAlexW3138634882WikidataQ114218115 ScholiaQ114218115MaRDI QIDQ2020005

Johann Franke

Publication date: 23 April 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-021-00250-4

zbMATH Keywords

Eisenstein series\(L\)-functionEichler integralcotangent sum

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

• Finite trigonometric sums and class numbers
• Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions
• Partial fractions and trigonometric identities
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• A dominated convergence theorem for Eisenstein series
• Invarianten linearer Differentialgleichungen
• Local zeta factors and geometries under SpecZ
• Transcendental values of certain Eichler integrals
• Rational functions and modular forms
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